Review Article  Open Access
LongBaseline Oscillation Experiments as a Tool to Probe High Energy Flavor Symmetry Models
Abstract
We review the current status of neutrino oscillation experiments, mainly focusing on T2(H)K, NOA, and DUNE. Their capability to probe high energy physics is found in the precision measurement of the CP phase and . In general, neutrino mass models predict correlations among the mixing angles that can be used to scan and shrink their parameter space. We updated previous analysis and presented a list of models that contain such structure.
1. Introduction
The upcoming sets of longbaseline neutrino experiments will establish a new standard in the search for new physics. Two distinct directions arise; the phenomenological approach consists of seeking new unobserved phenomena that are present in a large class of models. They were extensively studied in the literature and are subdivided into 3 main groups: Nonstandard Interactions (NSI) searches [1–14], Light Sterile Neutrinos [15–19], and Nonunitarity [20–28]. The second approach is more theory based and was less explored. It focuses on correlations among neutrino mixing angles predicted by high energy models. This opens the possibility of testing models that contain almost no lowenergy phenomenological effects different from the Standard Model.
Since the discovery of neutrino oscillations, a plethora of models was realized to try to explain the origin of the neutrino masses. The first proposal was the seesaw mechanism [29–34] which tried to explain the smallness of neutrino masses () through a heavy mass scale () . Another possible path uses loop mechanisms, in which neutrino masses can be suppressed at zeroth [35] or even first order [36]. Nevertheless, such theories usually do not explain the structure of the oscillation parameters, as they are merely free parameters.
This changes by the addition of discrete symmetry that controls the pattern of the leptonic mass matrix [37–39]; for a review on the subject see, e.g., [40, 41]. They can predict relations among the neutrino mixing angles [42–53] which can be used to constrain the parameter space of such theories [54].
This manuscript is divided into seven sections: In Section 2 we describe current and future neutrino oscillation experiments: T2K, NOA, and DUNE and their simulation. In Section 3 we briefly discuss the statistical analysis and methods used to scan the parameter space. In Section 4 we present the sensitivity to neutrino mixing parameters expected in each experiment. In Section 5 we review the possibilities of using the  correlation in longbaseline experiments by updating previous analysis of two models [55, 56]. In Section 6 we review the possibility of using the  correlation by combining longbaseline experiments with reaction measurements of . In Section 8 we present a summary of the results.
2. LongBaseline Experiments and Their Simulation
Here we choose focusing on four experimental setups; two of them are already running: T2K [57] and NOA [58]; and two had their construction approved: DUNE [59] and T2HK [60]. Their sensitivity to the two most unknown parameters of the leptonic sector, the CP violation phase and the atmospheric mixing angle, makes them ideal to probe correlations among the mixing angles. As shown in [54], they can be used to shrink the parameter space of predictive models. A short description of each experiment can be found below and in Table 1.
(1) T2K. The Tokai to Kamiokande (T2K) experiment [57, 61] uses the SuperKamiokande [62] as a far detector for the JPark neutrino beam, which consists of an offaxis (by a angle) predominantly muon neutrino flux with energy around 0.6 GeV. The SuperKamiokande detector is a 22.5 kt water tank located at 295 from the JPark facility. It detects neutrino through the Cherenkov radiation emitted by a charged particle created via neutrino interaction. There is also a near detector (ND280); thus the shape of the neutrino flux is well known, and the total normalization error reaches for the signal and for the background. T2K is already running and its current results can be found in [63] and reach POT of flux for each neutrino/antineutrino mode, which corresponds to 10% of the expected approved exposure. There are also plans for extending the exposure to POT.
(2) NOA. The NuMI offaxis appearance (NOA) [58, 64, 65] is an offaxis (by a angle) that uses a neutrino beam from the Main Injector of Fermilab’s beamline (NuMI). This beam consists of mostly muon neutrinos with energy around 2 GeV traveling through 810 km until arriving at the 14 kt Liquid Scintillator far detector placed at Ash River, Minnesota. The far and near detectors are highly active tracking calorimeters segmented by hundreds of PVP cells and can give a good estimate of the total signal and background within an error of and of total normalization error, respectively. The planned exposure consists of a POT that can be achieved in 6 years of running time, working in in the neutrino mode and in the antineutrino mode. NOA is already running; current results can be found in [66, 67].
(3) DUNE. The Deep Underground Neutrino Experiment (DUNE) [59, 68–71] is a longbaseline next generation onaxis experiment also situated in Fermilab. It flux will be generated at the LBNF neutrino beam to target a 40 kt Liquid Argon time chamber projection (LarTPC) located 1300 km away from the neutrino source at Sanford Underground Research Facility (SURF). The beam consists of mostly muon neutrinos of energy around 2.5 GeV and expects a total exposure of POT running 3.5 years in neutrino mode and 3.5 years in antineutrino mode. The near and far detectors are projected to obtain a total signal (background) normalization uncertainty of 4% (10%). The experiment is expected to start taking data around 2026.
(4) T2HK. The Tokai to HyperKamiokande (T2HK) [60, 72–75] is an upgrade of the successful T2K experiment at JPark. It uses the same beam as its predecessor T2K, an offaxis beam from the JPark facility 295 km away from its new far detector: two water Cherenkov tanks with 190 kt of fiducial mass each. The expected total power is POT to be delivered within 2.5 yrs of neutrino mode and 7.5 yrs of antineutrino mode in order to obtain a similar number of both neutrino types. The new design includes improvements in the detector systems and particle identification that are still in development. For simplicity, we take similar capability as the T2K experiment and will assume a 5% (10%) of signal (background) normalization error. The first data taking is expected to start with one tank in 2026 and the second tank in 2032.
In order to perform simulation of any neutrino experiment, the experimental collaboration uses Monte Carlo Methods, which can be performed through several event generators like GENIE [76], FLUKA [77], and many others. See PDG [78] for a review. Such technique requires an enormous computational power and detector knowledge, as it relies on the simulation of each individual neutrino interaction and how its products evolve inside of the detector. A simpler, but faster, simulation can be accomplished by using a semianalytic calculation of the event rate integral [79]: is the number of detected neutrinos with energy between and . describes the flux of neutrino arriving at the detector. is the oscillation probability and the detection cross section of the detection reaction.
, also known as migration matrix, describes how the detector interprets neutrino with energy being detected at energy and summarizes the effect of the Monte Carlo simulation of the detector into a single function. A perfect neutrino detector is described by a delta function, , while a more realistic simulation can use a Gaussian function: where parametrizes the error in the neutrino energy detection or a migration matrix provided by the experimental collaboration.
The public available software GLoBES [79, 80] follows this approach and is commonly used to perform numerical simulation of neutrino experiments. There is also another tool, the NuPro package [81] that will be publicly released soon. All the simulations in this manuscript are performed using GLoBES.
3. Statistical Analysis and Probing Models: A Brief Discussion
We are interested in a rule to distinguish between two neutrino oscillation models that can modify the spectrum of detected neutrinos in a longbaseline neutrino experiment. From the experimental point of view, one may apply a statistical analysis to quantitatively decide between two (or more) distinct hypotheses given a set of data points .
Each model () will define a probability distribution function (p.d.f.), , where the statistic test function depends on the real data points and the model parameters , . The best fit of a model is defined as the values of the model parameters that maximize the p.d.f. function: . Thus, one can reject model , over model by some certain confidence level if is a constant that depends on the probability test, the number of parameters, and the confidence level .
From the theoretical point of view, the real data points were not yet measured; this means that in order to find the expected experimental sensitivity we need to produce pseudodata points by adding an extra assumption on which model is generating the yettobemeasured data points. That means there are various ways of obtaining sensitivity curves; each of them is described in Table 2.

Although one can always generate the pseudodata points using any desired model at any point in its parameter space, the usual approach is to assume that the data points are generated by the standard 3 neutrino oscillation (Standard3) model with parameters given by current best fit values. We will use this approach in the work. Current best fit values are described in Table 3 and were taken from [82].

3.1. Frequentist Analysis
The chisquare test [78, 83, 84] is the most common statistical analysis chosen to test the compatibility between the experimental data and the expected outcome of a given neutrino experiment. It is based on the construction of a Gaussian chisquared estimator () so that . This means that the best fit values are obtained by the set of values that globally minimizes the function . For longbaseline neutrino oscillation experiments the chisquare function can be divided into three factors:where in the simplest case reduces to Poissonian Pearson’s statistic is the number of observed neutrinos in the bin . It represents the pseudodata points generated by a given model. () is the signal (background) observed neutrino as expected by a given model and depends on the model parameters. comprises the experimental uncertainties and systematics. For in (5), it is given byHere, () is the total normalization error in the signal (background) flux. Finally, contains all the prior information one wishes to include in the model parameters. In this work we will assume unless stated otherwise.
The exponential nature of the chisquared estimator makes it straightforward to find the confidence levels for the model parameters. It suffices to define the functionwhere is the chisquared function assuming model calculated in its best fit and is the chisquared function assuming model minimized over all the desired free parameters. Thus, the confidence levels are obtained by finding the solutions of are all the fixed parameters of model and are the constants that define the probability cuts and depend on the number of parameters in and the confidence probability. For intervals and one parameter, .
Notice that is in fact a function of the parameters one assumes to generate the pseudodata points, which we call True Values and denote as , and the parameters of the model we wish to test, which we call Test Values and denote as .
4. Measurement of Oscillation Parameters in LongBaseline Experiments
The main goal of longbaseline experiments is to measure with high precision the two most unknown oscillation parameters: the CP phase and the atmospheric mixing angle through the measurement of the neutrino/antineutrino survival and transition of neutrinos from the beamline. Many authors studied the power of longbaseline experiments to obtain the neutrino mixing parameters [85–93]. Particularly, only the transition is sensitive to and described, to first order in matter effects, by the probability function below.where , , , and . is the Fermi constant and is the electron density in the medium. is the neutrino energy and is the baseline of the experiment and they are chosen to obey in order to enhance the effect of the CP phase. The antineutrino probability is obtained by changing and . Thus, the difference between neutrino and antineutrino comes from matter effects and the CP phase. It turns out that the T2HK is the most sensitivity to as it has a bigger statistic and lower matter effect and can reach difference between CP conservation and maximal CPnonconservation [73], in contrast with DUNE’s [68]. In Figure 1 we plotted the expected allowed regions of versus at for each experiment. We assumed the true value of the parameters as those given in Table 3. The black region is the current 90% CL region and the black points are the best fit points. T2HK is the most sensitive experiment in reconstructing both parameters, followed by DUNE. NOA and T2K are the first experiments to measure a difference between matter and antimatter in the leptonic sector but cannot measure the CP phase with more than 3. Notice that the experiments cannot discover the correct octant of at ; that is, they cannot tell if (High Octant) or (Lower Octant) unless they are supplemented by an external prior. This effect is independent of the value of as can be observed in Figure 2(a) where we plotted the reconstruction of given a fixed true value of of each experiment. The black line corresponds to current best fit and the gray area is the 1 region. The like pattern of the region shows that given any true value of there is region in the correct octant and in the wrong octant. Nevertheless, the octant can be obtained if one incorporates a prior to the angle [94–98] and future prospects on the measurement of by reactor experiments will allow both DUNE and T2HK to measure the octant if the atmospheric angle is not all inside the region [99].
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For completeness, we show in Figure 2(a) the reconstruction of the given a fixed true value of . The black line represents current best fit and the gray area shows the region. We do not show the plots for NOA or T2K as they cannot reconstruct the CP phase at . The sensitivity is a little bit worse around maximum CP violation or but in general it does not change much when one varies .
5. and Correlation and Probing Models
In spite of being with relatively low energy (<few GeV), neutrino experiments can be a tool to probe high energy physics. Many neutrino mass models predict relations such as neutrino mass sum rules [41, 100–106] that can be probed in neutrinoless double beta decay [107] and relations among the neutrino mixing parameters. To name but a few examples we cite [42–44, 108]. They can be put to test by a scan of the parameter space much like what was done by the LHC in search for new physics. Thus, inspired by the precision power of future longbaseline neutrino experiments, it was shown in [54] that models that predict a sharp correlation between the atmospheric angle and the CP phase can be used to put stringent bounds on parameters of such models.
In general, a predictive neutrino mass model is constructed by imposing a symmetry on the Lagrangian and can be parametrized by a set of free parameters , , which can be translated into the usual neutrino mixing parameters from the neutrino mass matrix; that is,Because of the symmetry on the Lagrangian, not all possible mass matrices are allowed to be generated and the free parameters may not span the entire space of the mixing parameters and . Thus, in principle, it is possible to probe or even exclude a model if the real best fit falls into a region that the model cannot predict. As an example, in Figure 3 we plot the allowed parameter space of two discrete symmetry based models, the Warped Flavor Symmetry (WFS) model [45] (a) and the Revamped BabuMaValle (BMV) model [109] (b). The black curves represent currently unconstrained (Standard) 90% CL regions for the neutrino parameters and the black point shows the best fit value, while the blue region represents the allowed parameter space of the two models. Notice that even for the 3 range the model can only accommodate a much smaller region than the unconstrained one. This is a reflex of the symmetries forced upon those models by construction; in WFS a maximal CP phase implies , and the smaller the CP violation is, the farther away from the atmospheric angle is, while in BMV a maximal CP phase implies a Lower Octant atmospheric mixing and it cannot fit a .
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By using this approach, a full scan of the parameter space was performed for those two models, in [55] for the WFS model and in [56] for the Revamped model.
We show in Figure 4 an updated version of their results. The colored regions represent regions of the parameter space in which the model cannot be excluded with more than for DUNE (red) and T2HK (cyan) experiment; both T2K and NOA cannot probe the CP phase with more than 3; thus, they cannot exclude the model alone.
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This means that if future longbaseline experiments measure a specific combination of and as its best fit that does not fall into the colored regions, they may be able to exclude the model. Therefore, those kinds of analysis are guidelines to decide which model can or cannot be tested given the future results of DUNE and T2HK and are worth performing in any model that contains predictive correlations among the CP phase and the atmospheric mixing, like [42–44, 110] and many others. It is also worth mentioning that combination of longbaseline measurements and reactors can greatly improve the sensitivity of the analysis.
6. and the Atmospheric Octant
The analysis in the last section can be extended to include another type of correlation that tries to explain the smallness of the reactor angle . A general approach common in many models [46–53] imposes a given symmetry on the mass matrix that predicts , which is later spontaneously broken to give a small correction to the reactor angle. It turns out that in order to generate nonzero one automatically generates corrections to other mixing angles .
This can be easily observed by considering a toy model that predicts the tribimaximal mixing matrix:Any consistent small correction to the mixing matrix should maintain its unitary character. Particularly, we can set a correction in the planes via the matrixNotice that . If we change the mixing matrix (notice that the correction cannot produce a nonzero ) by then . The general case can be described by an initial mixing matrix that is later corrected by a rotation matrix :All the possible combinations of corrections from tribimaximal, bimaximal, and democratic mixing were considered in [111]. Particularly, one can investigate a general correlation of to the nonmaximality of the atmospheric angle:where is a function of the correction . Longbaseline experiments alone are not too sensitive to changes in the reactor angle; nevertheless, it was shown in [112] that it is possible to use such correlation to probe the parameter space of such models by combining longbaseline and reactor experiments.
This can be accomplished in a modelindependent approach by series expanding (14):This encompasses both the uncorrelated (Standard3) case if one sets and assumes as a free parameter and the small correction case by setting and . In Table 4 we present many models that contain this kind of correlation and their possible parameters values for and .
In Figure 6 we update the potential exclusion regions where models of the form can be excluded for each value of at 3 by DUNE + reactors and T2HK + reactors. The true value of is set to the central value of Table 3 and its error is assumed to be . The colored regions represent the regions that cannot be excluded with more than 3. There we can see that models that contain strong correlations () or weak correlations () can be excluded from any set of atmospheric angles.
The general case for any is presented in Figure 6(a) for DUNE and for T2HK in Figure 6(b) for three values of : 0.43 (green), 0.5 (cyan), and 0.6 (red). The region shrinks greatly as the true value of the atmospheric angle goes away from the maximal mixing .
7. Going Beyond Flavor Models
Albeit flavor symmetry models are very common in the literature, mixing angles correlations are by no means exclusive to this class. Since longbaseline experiments are sensitive to the most unknown leptonic parameters, the possibility of using such correlations was studied not only in longbaseline but also in any neutrino experiment. The most common class is high energy model containing Nonstandard Interactions [1–14]; in particular, any model that produces nonstandard 4point Fermi interaction between electron and the neutrinos can, in principle, be probed by experiments that contain matter interactions, as well as studies in special mixing matrix ansatz such as Golden Ratio and other symmetries [41, 47, 91, 111, 113–118]. Moreover, one can find assumptions on neutrino mass sum rules that can be tested [104–106, 119] and generalized CP symmetry schemes [120–125]. General class of models such as grand unifying theories (GUT) and large extra dimensions (LED) was studied in [126–128]. Cosmology can also present ways of testing predictive neutrino mass models in leptogenesis [129] and even baryogenesis [130].
8. Summary
The state of the art of longbaseline neutrino oscillation experiments is T2(H)K, NO, and DUNE. They will be capable of reaching very good precision in the reactor and atmospheric mixing angle and will measure for the first time the CP violation phase. This will create an opportunity to put at test a plethora of neutrino mass models that predict values and correlations among the parameters of the PMNS matrix [54–56, 110, 131, 132].
Here we briefly discuss the fitting approach that quantifies the ability of longbaseline experiments to exclude predictive high energy models. Two types of correlations can be used: The  correlation is found in many models containing a variety of symmetries [42–45]. Nevertheless, each model in the market may contain a different correlation, and most models are still in need to be analyzed. On the other hand, the  correlation can only be probed by combining longbaseline with reactor experiments, as the former are not sensible enough to variations. However, we can take a modelindependent approach [112] that covers most models that try to explain the smallness of the angle trough an spontaneous symmetry breaking [46–53]. We present a set of Figures 4, 5, and 6 containing the potential exclusion regions of each model here analyzed that can be used as a benchmark when the future experiments start to run.
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Conflicts of Interest
The author declares that there are no conflicts of interest regarding the publication of this article.
Acknowledgments
Pedro Pasquini was supported by FAPESP Grants 2014/051331, 2015/168099, and 2014/191646 and FAEPEX Grant no. 2391/17 and, also, by the APSSBF collaboration scholarship.
References
 M. M. Guzzo, A. Masiero, and S. T. Petcov, “On the MSW effect with massless neutrinos and no mixing in the vacuum,” Physics Letters B, vol. 260, no. 12, pp. 154–160, 1991. View at: Publisher Site  Google Scholar
 A. Bolanos, O. G. Miranda, A. Palazzo, M. A. Tortola, and J. W. F. Valle, “Probing nonstandard neutrinoelectron interactions with solar and reactor neutrinos,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 79, no. 11, Article ID 113012, 2009. View at: Publisher Site  Google Scholar
 Y. Farzan and M. Tortola, “Neutrino oscillations and NonStandard Interactions,” 2017, https://arxiv.org/abs/1710.09360. View at: Google Scholar
 M. Ghosh and O. Yasuda, “Testing NSI suggested by the solar neutrino tension in T2HKK and DUNE,” 2017, https://arxiv.org/abs/1709.08264. View at: Google Scholar
 J. Tang and Y. Zhang, “Study of nonstandard chargedcurrent interactions at the MOMENT experiment,” 2017, https://arxiv.org/abs/1705.09500. View at: Google Scholar
 J. Liao, D. Marfatia, and K. Whisnant, “Nonstandard neutrino interactions at DUNE, T2HK and T2HKK,” Journal of High Energy Physics, vol. 71, 2017. View at: Publisher Site  Google Scholar
 Y. Farzan, “Viable models for large nonstandard neutrino interactions,” in Proceedings of the 18th International Workshop on Neutrino Factories, Superbeams, Beta beams (NuFact 2016), 7 pages, Quy Nhon, Vietnam, 2016, https://arxiv.org/abs/1612.04971. View at: Google Scholar
 M. Blennow, P. Coloma, E. FernandezMartinez, J. HernandezGarcia, and J. LopezPavon, “Nonunitarity, sterile neutrinos, and nonstandard neutrino interactions,” Journal of High Energy Physics, vol. 2017, no. 4, 2017. View at: Publisher Site  Google Scholar
 D. V. Forero and W. C. Huang, “Sizable NSI from the SU(2)_{L} scalar doubletsinglet mixing and the implications in DUNE,” Journal of High Energy Physics, vol. 2017, article 018, no. 3, 2017. View at: Publisher Site  Google Scholar
 S. F. Ge and A. Y. Smirnov, “Nonstandard interactions and the CP phase measurements in neutrino oscillations at low energies,” Journal of High Energy Physics, vol. 2016, no. 10, 2016. View at: Publisher Site  Google Scholar
 M. Masud and P. Mehta, “Nonstandard interactions and resolving the ordering of neutrino masses at DUNE and other long baseline experiments,” Physical Review D: Particles, Fields, Gravitation, and Cosmology, vol. 94, no. 5, Article ID 053007, 2016. View at: Publisher Site  Google Scholar
 P. Coloma and T. Schwetz, “Erratum: Generalized mass ordering degeneracy in neutrino oscillation experiments [Phys. Rev. D 94, 055005 (2016)],” Physical Review D: Particles, Fields, Gravitation, and Cosmology, vol. 95, no. 7, Article ID 079903, 2017. View at: Publisher Site  Google Scholar
 K. Huitu, T. J. Kärkkäinen, J. Maalampi, and S. Vihonen, “Constraining the nonstandard interaction parameters in long baseline neutrino experiments,” Physical Review D: Particles, Fields, Gravitation, and Cosmology, vol. 93, no. 5, Article ID 053016, 2016. View at: Publisher Site  Google Scholar
 M. Blennow, S. Choubey, T. Ohlsson, D. Pramanik, and S. K. Raut, “A combined study of source, detector and matter nonstandard neutrino interactions at DUNE,” Journal of High Energy Physics, vol. 2016, no. 08, article no. 90, 2016. View at: Publisher Site  Google Scholar
 A. Boyarsky, D. Iakubovskyi, and O. Ruchayskiy, “Next decade of sterile neutrino studies,” Physics of the Dark Universe, vol. 1, no. 12, pp. 136–154, 2012. View at: Publisher Site  Google Scholar
 K. M. Heeger, M. N. Tobin, B. R. Littlejohn, and H. P. Mumm, “Experimental parameters for a reactor antineutrino experiment at very short baselines,” Physical Review D: Covering Particles, Fields, Gravitation, and Cosmology, vol. 87, no. 7, Article ID 073008, 2013. View at: Publisher Site  Google Scholar
 L. Gastaldo, C. Giunti, and E. Zavanin, “Light sterile neutrino sensitivity of 163Ho experiments,” Journal of High Energy Physics, vol. 2016, no. 6, 2016. View at: Publisher Site  Google Scholar
 C. Giunti and E. M. Zavanin, “Appearance–disappearance relation in 3 + Ns shortbaseline neutrino oscillations,” Modern Physics Letters A, vol. 31, no. 01, p. 1650003, 2016. View at: Publisher Site  Google Scholar
 S. Gariazzo, C. Giunti, M. Laveder, Y. F. Li, and E. M. Zavanin, “Light sterile neutrinos,” Journal of Physics G: Nuclear and Particle Physics, vol. 43, no. 3, Article ID 033001, 2016. View at: Publisher Site  Google Scholar
 O. Miranda, M. Tórtola, and J. Valle, “New Ambiguity in Probing,” Physical Review Letters 6, 2016. View at: Publisher Site  Google Scholar
 D. Dutta and P. Ghoshal, “Probing CP violation with T2K, NOνA and DUNE in the presence of nonunitarity,” Journal of High Energy Physics, vol. 2016, article 110, no. 9, 2016. View at: Publisher Site  Google Scholar
 D. Dutta, P. Ghoshal, and S. Roy, “Effect of nonunitarity on neutrino mass hierarchy determination at DUNE, NOνA and T2K,” Nuclear Physics B, vol. 920, pp. 385–401, 2017. View at: Publisher Site  Google Scholar
 F. J. Escrihuela, D. V. Forero, O. G. Miranda, M. Tórtola, and J. W. F. Valle, “Probing CP violation with nonunitary mixing in longbaseline neutrino oscillation experiments: DUNE as a case study,” New Journal of Physics, vol. 19, no. 9, Article ID 093005, 2017. View at: Publisher Site  Google Scholar
 S.F. Ge, P. Pasquini, M. Tórtola, and J. W. F. Valle, “Measuring the leptonic CP phase in neutrino oscillations with nonunitary mixing,” Physical Review D: Particles, Fields, Gravitation, and Cosmology, vol. 95, no. 3, Article ID 033005, 2017. View at: Publisher Site  Google Scholar
 J. HernandezGarcia and J. LopezPavon, “NonUnitarity vs sterile neutrinos at DUNE,” https://arxiv.org/abs/1705.01840. View at: Google Scholar
 C. R. Das, J. Maalampi, J. Pulido, and S. Vihonen, “Determination of the θ_{23} octant in long baseline neutrino experiments within and beyond the standard model,” 2017, https://arxiv.org/abs/1708.05182. View at: Google Scholar
 C. Soumya and R. Mohanta, “Nonunitarity lepton mixing in an inverse seesaw and its impact on the physics potential of longbaseline experiments,” High Energy Physics  Phenomenology, 24 pages, 2017. View at: Google Scholar
 S. Choubey and D. Pramanik, “Constraints on sterile neutrino oscillations using DUNE near detector,” Physics Letters B, vol. 764, pp. 135–141, 2017. View at: Publisher Site  Google Scholar
 M. Magg and C. Wetterich, “Neutrino mass problem and gauge hierarchy,” Physics Letters B, vol. 94, no. 1, pp. 61–64, 1980. View at: Publisher Site  Google Scholar
 R. N. Mohapatra and G. Senjanovic, “Neutrino mass and spontaneous parity nonconservation,” Physical Review Letters, vol. 44, p. 912, 1980. View at: Publisher Site  Google Scholar
 J. Schechter and J. W. Valle, “Neutrinooscillation thought experiment,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 23, no. 7, pp. 1666–1668, 1981. View at: Publisher Site  Google Scholar
 C. Wetterich, “Neutrino masses and the scale of BL violation,” Nuclear Physics B, vol. 187, no. 2, pp. 343–375, 1981. View at: Publisher Site  Google Scholar
 R. Foot, H. Lew, X. G. He, and G. C. Joshi, “Seesaw neutrino masses induced by a triplet of leptons,” Zeitschrift für Physik C: Particles and Fields, vol. 44, no. 3, pp. 441–444, 1989. View at: Publisher Site  Google Scholar
 A. Abada, C. Biggio, F. Bonnet, M. B. Gavela, and T. Hambye, “Low energy effects of neutrino masses,” Journal of High Energy Physics, vol. 2007, no. 12, article 061, 2007. View at: Publisher Site  Google Scholar
 F. Bonnet, M. Hirsch, T. Ota, and W. Winter, “Systematic study of the d = 5 Weinberg operator at oneloop order,” Journal of High Energy Physics, vol. 2012, no. 153, 2012. View at: Publisher Site  Google Scholar
 D. Aristizabal Sierra, A. Degee, L. Dorame, and M. Hirsch, “Systematic classification of twoloop realizations of the Weinberg operator,” Journal of High Energy Physics, vol. 2015, no. 3, 2015. View at: Publisher Site  Google Scholar
 S. F. King, A. Merle, S. Morisi, Y. Shimizu, and M. Tanimoto, “Neutrino mass and mixing: from theory to experiment,” New Journal of Physics , vol. 16, Article ID 045018, 2014. View at: Publisher Site  Google Scholar
 N. Haba, J. Sato, M. Tanimoto, and K. Yoshioka, “Possible flavor mixing structures of lepton mass matrices,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 64, no. 11, 2001. View at: Publisher Site  Google Scholar
 P. Chen, G.J. Ding, F. GonzalezCanales, and J. W. F. Valle, “Classifying CP transformations according to their texture zeros: Theory and implications,” Physical Review D: Covering Particles, Fields, Gravitation, And Cosmology, vol. 94, no. 3, Article ID 033002, 2016, http://dx.doi.org/10.1103/PhysRevD.94.033002. View at: Publisher Site  Google Scholar
 G. Altarelli and F. Feruglio, “Discrete flavor symmetries and models of neutrino mixing,” Reviews of Modern Physics, vol. 82, no. 3, pp. 2701–2729, 2010. View at: Publisher Site  Google Scholar
 S. F. King and C. Luhn, “Neutrino mass and mixing with discrete symmetry,” Reports on Progress in Physics, vol. 76, no. 5, Article ID 056201, 2013. View at: Publisher Site  Google Scholar
 A. E. Cárcamo Hernández and H. N. Long, “A highly predictive A_{4} flavour 331 model with radiative inverse seesaw mechanism,” 2017, https://arxiv.org/abs/1705.05246. View at: Google Scholar
 A. Dev, “Gauged L_{μ}L_{τ} Model with an Inverse Seesaw Mechanism for Neutrino Masses,” 2017, https://arxiv.org/abs/1710.02878. View at: Google Scholar
 S. Centelles Chuliá, R. Srivastava, and J. W. Valle, “Generalized bottomtau unification, neutrino oscillations and dark matter: Predictions from a lepton quarticity flavor approach,” Physics Letters B, vol. 773, pp. 26–33, 2017. View at: Publisher Site  Google Scholar
 P. Chen, G. Ding, A. D. Rojas, C. A. VaqueraAraujo, and J. W. Valle, “Warped flavor symmetry predictions for neutrino physics,” Journal of High Energy Physics, vol. 2016, no. 1, 2016. View at: Publisher Site  Google Scholar
 D. A. Dicus, S. F. Ge, and W. W. Repko, “Generalized hidden Z_{2} symmetry of neutrino mixing,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 83, no. 9, Article ID 093007, 2011. View at: Publisher Site  Google Scholar
 M. Sruthilaya, C. Soumya, K. N. Deepthi, and R. Mohanta, “Predicting leptonic CP phase by considering deviations in charged lepton and neutrino sectors,” New Journal of Physics, vol. 17, no. 8, Article ID 083028, 2015. View at: Publisher Site  Google Scholar
 A. Dev, P. Ramadevi, and S. U. Sankar, “Nonzero θ_{13} and δ_{CP} in a neutrino mass model with A_{4} symmetry,” Journal of High Energy Physics, vol. 2015, article 034, no. 11, pp. 1–15, 2015. View at: Publisher Site  Google Scholar
 G. N. Li and X. G. He, “CP violation in neutrino mixing with δ = −π/2 in A_{4} TypeII seesaw model,” Physics Letters B, vol. 750, pp. 620–626, 2015. View at: Publisher Site  Google Scholar
 D. N. Dinh, N. A. Ky, P. Q. Văn, and N. T. H. Vân, “A seesaw scenario of an A_{4} flavour symmetric standard model,” 2016, https://arxiv.org/abs/1602.07437. View at: Google Scholar
 N. A. Ky, P. Q. Văn, and N. T. H. Vân, “Neutrino mixing model based on an A_{4} × Z_{3} × Z_{4} flavor symmetry,” Physical Review D, vol. 94, no. 9, Article ID 095009, 2016. View at: Publisher Site  Google Scholar
 A. E. Cárcamo Hernández, S. Kovalenko, J. W. F. Valle, and C. A. VaqueraAraujo, “Predictive PatiSalam theory of fermion masses and mixing,” Journal of High Energy Physics, vol. 2017, article 118, no. 7, 2017. View at: Publisher Site  Google Scholar
 P. H. Frampton, T. W. Kephart, and S. Matsuzaki, “Simplified renormalizable T′ model for tribimaximal mixing and Cabibbo angle,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 78, no. 7, Article ID 073004, 2008. View at: Publisher Site  Google Scholar
 P. Pasquini, S. C. Chuliá, and J. W. F. Valle, “Neutrino oscillations from warped flavor symmetry: Predictions for long baseline experiments T2K, NOvA, and DUNE,” Physical Review D, vol. 95, no. 9, Article ID 095030, 2017. View at: Publisher Site  Google Scholar
 S. S. Chatterjee, P. Pasquini, and J. Valle, “Probing atmospheric mixing and leptonic CP violation in current and future long baseline oscillation experiments,” Physics Letters B, vol. 771, pp. 524–531, 2017. View at: Publisher Site  Google Scholar
 S. S. Chatterjee, M. Masud, P. Pasquini, and J. Valle, “Cornering the revamped BMV model with neutrino oscillation data,” Physics Letters B, vol. 774, pp. 179–182, 2017. View at: Publisher Site  Google Scholar
 K. Duffy et al., “Current Status and Future Plans of T2K,” High Energy Physics  Experiment, 2017, https://arxiv.org/abs/1705.01764. View at: Google Scholar
 S. Childress and J. Strait, “Long baseline neutrino beams at Fermilab,” Journal of Physics: Conference Series, vol. 408, Article ID 012007, 2013. View at: Publisher Site  Google Scholar
 R. Acciarri, M. A. Acero, M. Adamowski et al., “LongBaseline Neutrino Facility (LBNF) and Deep Underground Neutrino Experiment (DUNE) Conceptual Design Report Volume 2: The Physics Program for DUNE at LBNF,” Instrumentation and Detectors, 2016, https://arxiv.org/abs/1512.06148. View at: Google Scholar
 K. Abe, H. Aihara, C. Andreopoulos et al., “Physics potential of a longbaseline neutrino oscillation experiment using a JPARC neutrino beam and HyperKamiokande,” Progress of Theoretical and Experimental Physics, vol. 2015, no. 5, Article ID 053C02, 2015. View at: Publisher Site  Google Scholar
 K. Abe, J. Adam, H. Aihara et al., “Neutrino oscillation physics potential of the T2K experiment,” Progress of Theoretical and Experimental Physics, vol. 2015, no. 4, Article ID 043C01, 2015. View at: Publisher Site  Google Scholar
 K. Abe et al., “Solar neutrino measurements in SuperKamiokandeIV,” Physical Review D: Particles, Fields, Gravitation, and Cosmology, vol. 94, no. 5, Article ID 052010, 2016. View at: Publisher Site  Google Scholar
 L. Haegel et al., “The latest T2K neutrino oscillation results,” in Proceedings of the The European Physical Society Conference on High Energy Physics (EPSHEP 2017), 6 pages, Venice, Italy, July 2017. View at: Publisher Site  Google Scholar
 R. B. Patterson, “The NOvA experiment: status and outlook,” Nuclear Physics B  Proceedings Supplements, vol. 235236, pp. 151–157, 2013. View at: Publisher Site  Google Scholar
 S. K. Agarwalla, S. Prakash, S. K. Raut, and S. U. Sankar, “Potential of optimized NOνA for large θ_{13} & combined performance with a LArTPC & T2K,” Journal of High Energy Physics, vol. 2012, Article ID 75, 2012. View at: Publisher Site  Google Scholar
 P. Adamson et al., “Constraints on Oscillation Parameters from ###XXX###3BD;_{e} Appearance and ###XXX###3BD;_{μ} Disappearance in NOvA,” Physical Review Letters, vol. 118, no. 23, Article ID 231801, 2017. View at: Publisher Site  Google Scholar
 P. Adamson et al., “Measurement of the Neutrino Mixing Angle θ_{23} in NOvA,” Physical Review Letters, vol. 118, no. 15, Article ID 151802, 2017. View at: Publisher Site  Google Scholar
 R. Acciarri et al., “LongBaseline Neutrino Facility (LBNF) and Deep Underground Neutrino Experiment (DUNE) Conceptual Design Report Volume 1: The LBNF and DUNE Projects,” 2016, https://arxiv.org/abs/1601.05471. View at: Google Scholar
 J. Strait et al., “LongBaseline Neutrino Facility (LBNF) and Deep Underground Neutrino Experiment (DUNE) Conceptual Design Report Volume 3: LongBaseline Neutrino Facility for DUNE June 24, 2015,” https://arxiv.org/abs/1601.05823. View at: Google Scholar
 R. Acciarri et al., “LongBaseline Neutrino Facility (LBNF) and Deep Underground Neutrino Experiment (DUNE) Conceptual Design Report, Volume 4 The DUNE Detectors at LBNF,” 2016, https://arxiv.org/abs/1601.02984. View at: Google Scholar
 E. Kemp, “The Deep Underground Neutrino Experiment: The precision era of neutrino physics,” Astronomische Nachrichten, vol. 338, no. 910, p. 993, 2017. View at: Publisher Site  Google Scholar
 K. Abe et al., “Letter of Intent: The HyperKamiokande Experiment — Detector Design and Physics Potential —,” 2011, https://arxiv.org/abs/1109.3262. View at: Google Scholar
 HyperKamiokande Collaboration, “HyperKamiokande Design Report,” KEKPREPRINT201621, ICRRREPORT70120161, 2016. View at: Google Scholar
 K. Abe, Ke. Abe, H. Aihara et al., “The HyperKamiokande Experiment,” Tech. Rep., 2017, https://arxiv.org/abs/1705.00306. View at: Google Scholar
 K. Abe, Ke. Abe, H. Aihara et al., “The HyperKamiokande Experiment: Overview & Status,” Tech. Rep., 2017, https://arxiv.org/abs/1704.05933. View at: Google Scholar
 C. Andreopoulos, A. Bell, D. Bhattacharya et al., “The GENIE neutrino Monte Carlo generator,” Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, vol. 614, no. 1, pp. 87–104, 2010. View at: Publisher Site  Google Scholar
 G. Battistoni, P. R. Sala, M. Lantz, A. Ferrari, and G. Smirnov, “Neutrino interactions: From theory to Monte Carlo simulations,” in Proceedings of the 45th Karpacz Winter School in Theoretical Physics, vol. 40, p. 2491, LadekZdroj, Poland, 2009. View at: Google Scholar
 C. Patrignani, K. Agashe, G. Aielli et al., “Review of Particle Physics,” Chinese Physics C, vol. 40, no. 10, Article ID 100001, 2016. View at: Publisher Site  Google Scholar
 P. Huber, M. Lindner, and W. Winter, “Simulation of longbaseline neutrino oscillation experiments with GLoBES: (General Long Baseline Experiment Simulator),” Computer Physics Communications, vol. 167, no. 3, pp. 195–202, 2005. View at: Publisher Site  Google Scholar
 P. Huber, J. Kopp, M. Lindner, M. Rolinec, and W. Winter, “New features in the simulation of neutrino oscillation experiments with GLoBES 3.0: (General Long Baseline Experiment Simulator),” Computer Physics Communications, vol. 177, no. 5, pp. 432–438, 2007. View at: Publisher Site  Google Scholar
 S.F. Ge, “NuPro: a simulation package for neutrino properties,” http://nupro.hepforge.org. View at: Google Scholar
 P. F. de Salas, D. V. Forero, C. A. Ternes, M. Tortola, and J. W. F. Valle, “Status of neutrino oscillations 2017,” 2017, https://arxiv.org/abs/1708.01186. View at: Google Scholar
 F. James, Statistical Methods in Experimental Physics, 345 p, World Scientific, Hackensack, USA, 2006.
 W. G. Cochran, The Annals of Mathematical Statistics 23 No3, vol. 315, 1942.
 S. Prakash, S. K. Raut, and S. U. Sankar, “Getting the best out of T2K and NOνA,” Physical Review D: Covering Particles, Fields, Gravitation, and Cosmology, vol. 86, no. 3, Article ID 033012, 2012. View at: Publisher Site  Google Scholar
 M. Ghosh, P. Ghoshal, S. Goswami, and S. K. Raut, “Evidence for leptonic CP phase from NOνA, T2K and ICAL: A chronological progression,” Nuclear Physics B, vol. 884, pp. 274–304, 2014. View at: Publisher Site  Google Scholar
 M. Ghosh, S. Goswami, and S. K. Raut, “Maximizing the DUNE early physics output with current experiments,” The European Physical Journal C, vol. 76, 114, 2016. View at: Publisher Site  Google Scholar
 M. Ghosh, P. Ghoshal, S. Goswami, N. Nath, and S. K. Raut, “New look at the degeneracies in the neutrino oscillation parameters, and their resolution by T2K, NOνA and ICAL,” Physical Review D: Covering Particles, Fields, Gravitation, and Cosmology, vol. 93, no. 1, Article ID 013013, 2016. View at: Publisher Site  Google Scholar
 K. Chakraborty, K. N. Deepthi, and S. Goswami, “Spotlighting the sensitivities of T2HK,T2HKK and DUNE,” 2017, https://arxiv.org/abs/1711.11107. View at: Google Scholar
 S. Choubey, D. Dutta, and D. Pramanik, “Measuring the Sterile Neutrino CP Phase at DUNE and T2HK,” 2017, https://arxiv.org/abs/1711.07464. View at: Google Scholar
 S. K. Agarwalla, S. S. Chatterjee, S. T. Petcov, and A. V. Titov, “Addressing Neutrino Mixing Models with DUNE and T2HK,” 2017, https://arxiv.org/abs/1711.02107. View at: Google Scholar
 J. Evslin, S.F. Ge, and K. Hagiwara, “The leptonic CP phase from T2(H)K and μ^{+} decay at rest,” Journal of High Energy Physics, vol. 02, no. 137, 2016. View at: Publisher Site  Google Scholar
 P. Ballett, S. F. King, S. Pascoli, N. W. Prouse, and T. Wang, “Sensitivities and synergies of DUNE and T2HK,” Physical Review D: Covering Particles, Fields, Gravitation, and Cosmology, vol. 96, no. 3, Article ID 033003, 2017. View at: Publisher Site  Google Scholar
 N. Nath, M. Ghosh, and S. Goswami, “The physics of antineutrinos in DUNE and determination of octant and δ_{CP},” Nuclear Physics B, vol. 913, pp. 381–404, 2016. View at: Publisher Site  Google Scholar
 K. Bora, D. Dutta, and P. Ghoshal, “Determining the octant of θ_{23} at LBNE in conjunction with reactor experiments,” Modern Physics Letters A, vol. 30, no. 14, Article ID 1550066, 22 pages, 2015. View at: Publisher Site  Google Scholar
 H. Minakata, H. Sugiyama, O. Yasuda, K. Inoue, and F. Suekane, “Erratum: Reactor measurement of θ_{13} and its complementarity to longbaseline experiments [Phys. Rev. D 68, 033017 (2003)],” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 70, no. 5, Article ID 059901, 2004. View at: Publisher Site  Google Scholar
 S. K. Agarwalla, S. Prakash, and S. U. Sankar, “Resolving the octant of θ_{23} with T2K and NOνA,” Journal of High Energy Physics, vol. 07, 131, 2013. View at: Publisher Site  Google Scholar
 A. Chatterjee, P. Ghoshal, S. Goswami, and S. K. Raut, “Octant sensitivity for large θ_{13} in atmospheric and longbaseline neutrino experiments,” Journal of High Energy Physics, vol. 06, 010, 2013. View at: Publisher Site  Google Scholar
 S. Sachi Chatterjee, P. Pasquini, and J. W. F. Valle, “Resolving the atmospheric octant by an improved measurement of the reactor angle,” Physical Review D: Particles, Fields, Gravitation, and Cosmology, vol. 96, no. 1, Article ID 011303, 2017. View at: Publisher Site  Google Scholar
 S. F. King, “Parameterizing the lepton mixing matrix in terms of deviations from tribimaximal mixing,” Physics Letters B, vol. 659, no. 12, pp. 244–251, 2008. View at: Publisher Site  Google Scholar
 D. Hernandez and A. Yu. Smirnov, “Lepton mixing and discrete symmetries,” Physical Review D: Covering Particles, Fields, Gravitation, and Cosmology, vol. 86, no. 5, Article ID 053014, 2012. View at: Publisher Site  Google Scholar
 D. Hernandez and A. Yu. Smirnov, “Discrete symmetries and modelindependent patterns of lepton mixing,” Physical Review D: Covering Particles, Fields, Gravitation, and Cosmology, vol. 87, no. 5, Article ID 053005, 2013. View at: Publisher Site  Google Scholar
 P. Ballett, S. F. King, C. Luhn, S. Pascoli, and M. A. Schmidt, “Testing atmospheric mixing sum rules at precision neutrino facilities,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 89, no. 1, Article ID 016016, 2014. View at: Publisher Site  Google Scholar
 M. Spinrath, “Neutrino Mass Sum Rules,” Journal of Physics: Conference Series, vol. 888, no. 1, Article ID 012176, 2017. View at: Publisher Site  Google Scholar
 F. Buccella, M. Chianese, G. Mangano, G. Miele, S. Morisi, and P. Santorelli, “A neutrino massmixing sum rule from SO(10) and neutrinoless double beta decay,” Journal of High Energy Physics, vol. 2017, no. 4, 2017. View at: Publisher Site  Google Scholar
 J. Gehrlein, A. Merle, and M. Spinrath, “Predictivity of neutrino mass sum rules,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 94, no. 9, 2016. View at: Publisher Site  Google Scholar
 S. F. King, A. Merle, and A. J. Stuart, “The power of neutrino mass sum rules for neutrinoless double beta decay experiments,” Journal of High Energy Physics, vol. 2013, no. 12, article no. 5, 2013. View at: Publisher Site  Google Scholar
 T. Wang and Y.L. Zhou, “Neutrino nonstandard interactions as a portal to test flavour symmetries,” 2018, https://arxiv.org/pdf/1801.05656.pdf. View at: Google Scholar
 D. V. Forero, S. Morisi, J. C. Romão, and J. W. F. Valle, “Neutrino mixing with revamped A_{4} flavor symmetry,” Physical Review D: Particles, Fields, Gravitation, and Cosmology, vol. 88, no. 1, Article ID 016003, 2013. View at: Publisher Site  Google Scholar
 R. Srivastava, C. A. Ternes, M. Tórtola, and J. W. F. Valle, “Testing a lepton quarticity flavor theory of neutrino oscillations with the DUNE experiment,” 2017, https://arxiv.org/abs/1711.10318. View at: Google Scholar
 W. Chao and Y. j. Zheng, “Relatively large Theta13 from modification to the tribimaximal, bimaximal and democratic neutrino mixing matrices,” Journal of High Energy Physics, vol. 2013, article 44, 2013. View at: Publisher Site  Google Scholar
 P. Pasquini, “Reactor and atmospheric neutrino mixing angles’ correlation as a probe for new physics,” Physical Review D: Particles, Fields, Gravitation, and Cosmology, vol. 96, no. 9, Article ID 095021, 2017. View at: Publisher Site  Google Scholar
 S. Pramanick, “Ameliorating the popular lepton mixings with A4 symmetry: A seesaw model for realistic neutrino masses and mixing,” 2017, https://arxiv.org/abs/1711.03510. View at: Google Scholar
 G.J. Ding, S. F. King, and C.C. Li, “Golden littlest seesaw,” Nuclear Physics B, vol. 925, pp. 470–499, 2017. View at: Publisher Site  Google Scholar
 J. Zhang and S. Zhou, “Viability of exact tribimaximal, goldenratio and bimaximal mixing patterns and renormalizationgroup running effects,” Journal of High Energy Physics, vol. 09, 167, 2016. View at: Publisher Site  Google Scholar
 L. A. Delgadillo, L. L. Everett, R. Ramos, and A. J. Stuart, “Predictions for the Dirac CPViolating Phase from Sum Rules,” 2018, https://arxiv.org/abs/1801.06377. View at: Google Scholar
 C. H. Albright, A. Dueck, and W. Rodejohann, “Possible alternatives to tribimaximal mixing,” The European Physical Journal C, vol. 70, no. 4, pp. 1099–1110, 2010. View at: Publisher Site  Google Scholar
 A. D. Hanlon, S.F. Ge, and W. W. Repko, “Phenomenological consequences of residual Z^{s}_{2} and Z symmetries,” Physics Letters B, vol. 729, pp. 185–191, 2014. View at: Publisher Site  Google Scholar
 J. Barry and W. Rodejohann, “Neutrino mass sumrules in flavor symmetry models,” Nuclear Physics B, vol. 842, no. 1, pp. 33–50, 2011. View at: Publisher Site  Google Scholar
 J. Turner, “Predictions for leptonic mixing angle correlations and nontrivial Dirac CP violation from A_{5} with generalized CP symmetry,” Physical Review D: Particles, Fields, Gravitation, and Cosmology, vol. 92, no. 11, Article ID 116007, 2015. View at: Publisher Site  Google Scholar
 J. Turner, “Mixing angle and phase predictions from A5 with generalised CP,” in Proceedings of the Topical Research Meeting on Prospects in Neutrino Physics (NuPhys'14), London, UK, 2015, https://arxiv.org/abs/1506.06898. View at: Google Scholar
 P. Ballett, S. Pascoli, and J. Turner, “Mixing angle and phase correlations from A_{5} with generalized CP and their prospects for discovery,” Physical Review D: Particles, Fields, Gravitation, and Cosmology, vol. 92, no. 9, Article ID 093008, 2015. View at: Publisher Site  Google Scholar
 L. L. Everett and A. J. Stuart, “Lepton sector phases and their roles in flavor and generalized CPsymmetries,” Physical Review D: Particles, Fields, Gravitation, and Cosmology, vol. 96, no. 3, Article ID 035030, 2017. View at: Publisher Site  Google Scholar
 J.N. Lu and G.J. Ding, “Alternative schemes of predicting lepton mixing parameters from discrete flavor and CP symmetry,” Physical Review D: Particles, Fields, Gravitation, and Cosmology, vol. 95, no. 1, Article ID 015012, 2017. View at: Publisher Site  Google Scholar
 P. Chen, S. Centelles Chuliá, G.J. Ding, R. Srivastava, and J. W. F. Valle, “Neutrino Predictions from Generalized CP Symmetries of Charged Leptons,” 2018, https://arxiv.org/abs/1802.04275. View at: Google Scholar
 S. F. King, “Unified models of neutrinos, flavour and CP Violation,” Progress in Particle and Nuclear Physics, vol. 94, pp. 217–256, 2017. View at: Publisher Site  Google Scholar
 J. M. Berryman, A. de Gouvêa, K. J. Kelly, O. L. G. Peres, and Z. Tabrizi, “Large extra dimensions at the deep underground neutrino experiment,” Physical Review D: Particles, Fields, Gravitation, and Cosmology, vol. 94, no. 3, Article ID 033006, 2016. View at: Publisher Site  Google Scholar
 M. Carena, Y.Y. Li, C. S. Machado, P. A. N. Machado, and C. E. M. Wagner, “Neutrinos in large extra dimensions and shortbaseline ν_{e} appearance,” Physical Review D: Particles, Fields, Gravitation, and Cosmology, vol. 96, no. 9, Article ID 095014, 2017. View at: Publisher Site  Google Scholar
 C.C. Li and G.J. Ding, “Implications of residual CP symmetry for leptogenesis in a model with two righthanded neutrinos,” Physical Review D: Particles, Fields, Gravitation, and Cosmology, vol. 96, no. 7, Article ID 075005, 2017. View at: Publisher Site  Google Scholar
 H. Borgohain and M. K. Das, “Perturbations to μ − τ symmetry, lepton Number Violation and baryogenesis in leftright symmetric Model,” 2018, https://arxiv.org/abs/1803.05710. View at: Google Scholar
 S. F. Ge, D. A. Dicus, and W. W. Repko, “Z_{2} symmetry prediction for the leptonic Dirac CP phase,” Physics Letters B, vol. 702, no. 4, pp. 220–223, 2011. View at: Publisher Site  Google Scholar
 S.F. Ge, D. A. Dicus, and W. W. Repko, “Residual Symmetries for Neutrino Mixing with a Large theta_13 and Nearly Maximal delta_D,” Physical Review Letters, vol. 108, Article ID 041801, 2012. View at: Publisher Site  Google Scholar
Copyright
Copyright © 2018 Pedro Pasquini. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP^{3}.