Advances in High Energy Physics The latest articles from Hindawi Publishing Corporation © 2015 , Hindawi Publishing Corporation . All rights reserved. Non-Hermitian Dirac Hamiltonian in Three-Dimensional Gravity and Pseudosupersymmetry Thu, 19 Nov 2015 16:00:09 +0000 The Dirac Hamiltonian in the -dimensional curved space-time has been studied with a metric for an expanding de Sitter space-time which is two spheres. The spectrum and the exact solutions of the time dependent non-Hermitian and angle dependent Hamiltonians are obtained in terms of the Jacobi and Romanovski polynomials. Hermitian equivalent of the Hamiltonian obtained from the Dirac equation is discussed in the frame of pseudo-Hermiticity. Furthermore, pseudosupersymmetric quantum mechanical techniques are expanded to a curved Dirac Hamiltonian and a partner curved Dirac Hamiltonian is generated. Using -pseudo-Hermiticity, the intertwining operator connecting the non-Hermitian Hamiltonians to the Hermitian counterparts is found. We have obtained a new metric tensor related to the new Hamiltonian. Özlem Yeşiltaş Copyright © 2015 Özlem Yeşiltaş. All rights reserved. Critical Combinations of Higher-Order Terms in Einstein-Maxwell Theory and Compactification Wed, 18 Nov 2015 09:04:26 +0000 We discuss the role of a particular combination of higher derivative terms in higher dimensional theories, particularly in the background of spontaneous compactification. Two classes of theories are proposed in this paper. The first model as a generalization of the critical gravity with the Maxwell field could have a de Sitter solution. We consider the Lanczos-Lovelock term and Horndeski term as well as the higher-order Maxwell term for the second model, which contains a possible longer expansion time for the inflationary phase. It is interesting that both models can be regarded as the generalization of the Randjbar-Daemi, Salam and Strathdee (RSS) model and give the well behavior for inflation stage under the specific assumptions. Nahomi Kan and Kiyoshi Shiraishi Copyright © 2015 Nahomi Kan and Kiyoshi Shiraishi. All rights reserved. Complex-Mass Definition and the Structure of Unstable Particle’s Propagator Wed, 18 Nov 2015 08:13:05 +0000 The propagators of unstable particles are considered in framework of the convolution representation. Spectral function is found for a special case when the propagator of scalar unstable particle has Breit-Wigner form. The expressions for the dressed propagators of unstable vector and spinor fields are derived in an analytical way for this case. We obtain the propagators in modified Breit-Wigner forms which correspond to the complex-mass definition. Vladimir Kuksa Copyright © 2015 Vladimir Kuksa. All rights reserved. Fate of Electromagnetic Field on the Cracking of PSR J1614-2230 in Quadratic Regime Tue, 17 Nov 2015 08:24:13 +0000 We study the cracking of compact object PSR J1614-2230 in quadratic regime with electromagnetic field. For this purpose, we develop a general formalism to determine the cracking of charged compact objects. We apply local density perturbations to hydrostatic equilibrium equation as well as physical variables involved in the model. We plot the force distribution function against radius of the star with different parametric values of model both with and without charge. It is found that PSR J1614-2230 remains stable (no cracking) corresponding to different values of parameters when charge is zero, while it exhibits cracking (unstable) when charge is introduced. We conclude that stability region increases as amount of charge increases. M. Azam, S. A. Mardan, and M. A. Rehman Copyright © 2015 M. Azam et al. All rights reserved. Maximally Localized States and Quantum Corrections of Black Hole Thermodynamics in the Framework of a New Generalized Uncertainty Principle Tue, 17 Nov 2015 07:54:30 +0000 As a generalized uncertainty principle (GUP) leads to the effects of the minimal length of the order of the Planck scale and UV/IR mixing, some significant physical concepts and quantities are modified or corrected correspondingly. On the one hand, we derive the maximally localized states—the physical states displaying the minimal length uncertainty associated with a new GUP proposed in our previous work. On the other hand, in the framework of this new GUP we calculate quantum corrections to the thermodynamic quantities of the Schwardzschild black hole, such as the Hawking temperature, the entropy, and the heat capacity, and give a remnant mass of the black hole at the end of the evaporation process. Moreover, we compare our results with that obtained in the frameworks of several other GUPs. In particular, we observe a significant difference between the situations with and without the consideration of the UV/IR mixing effect in the quantum corrections to the evaporation rate and the decay time. That is, the decay time can greatly be prolonged in the former case, which implies that the quantum correction from the UV/IR mixing effect may give rise to a radical rather than a tiny influence to the Hawking radiation. Yan-Gang Miao, Ying-Jie Zhao, and Shao-Jun Zhang Copyright © 2015 Yan-Gang Miao et al. All rights reserved. Augmented Superfield Approach to Nilpotent Symmetries of the Modified Version of 2D Proca Theory Wed, 11 Nov 2015 06:38:20 +0000 We derive the complete set of off-shell nilpotent and absolutely anticommuting Becchi-Rouet-Stora-Tyutin (BRST), anti-BRST, and (anti-)co-BRST symmetry transformations for all the fields of the modified version of two -dimensional (2D) Proca theory by exploiting the “augmented” superfield formalism where the (dual-)horizontality conditions and (dual-)gauge invariant restrictions are exploited together. We capture the (anti-)BRST and (anti-)co-BRST invariance of the Lagrangian density in the language of superfield approach. We also express the nilpotency and absolute anticommutativity of the (anti-)BRST and (anti-)co-BRST charges within the framework of augmented superfield formalism. This exercise leads to some novel observations which have, hitherto, not been pointed out in the literature within the framework of superfield approach to BRST formalism. For the sake of completeness, we also mention, very briefly, a unique bosonic symmetry, the ghost-scale symmetry, and discrete symmetries of the theory and show that the algebra of conserved charges provides a physical realization of the Hodge algebra (satisfied by the de Rham cohomological operators of differential geometry). A. Shukla, S. Krishna, and R. P. Malik Copyright © 2015 A. Shukla et al. All rights reserved. Probing Mixing of Photons and Axion-Like Particles by Geometric Phase Tue, 10 Nov 2015 11:44:49 +0000 We find that a geometric phase characterizes the phenomenon of mixing of photons with axion-like particles (ALPs). The laboratory observation of such a phase may provide a novel tool able to detect such a mixing phenomenon. We show that the geometric phase is dependent on the axion-like particle mass and coupling constant. We discuss an interferometric experiment able to detect the geometric phase associated with the ALPs-photon mixing. A. Capolupo, G. Lambiase, and G. Vitiello Copyright © 2015 A. Capolupo et al. All rights reserved. Holographic Polytropic Gravity Models Wed, 04 Nov 2015 11:27:00 +0000 The present paper reports a study on the cosmological consequences arising from reconstructing gravity through new holographic polytropic dark energy. We assume two approaches, namely, a particular form of Hubble parameter and a solution for . We obtain the deceleration parameter and effective equation of state, as well as torsion equation of state parameters from total density and pressure in both cases. It is interesting to mention here that the deceleration and torsion equation of state represent transition from deceleration to acceleration phase. We study the statefinder parameters under both approaches which result in the fact that statefinder trajectories are found to attain ΛCDM point. The comparison with observational data represents consistent results. Also, we discuss the stability of reconstructed models through squared speed of sound which represents stability in late times. Surajit Chattopadhyay, Abdul Jawad, and Shamaila Rani Copyright © 2015 Surajit Chattopadhyay et al. All rights reserved. Study of Nonleptonic and Weak Decays Tue, 03 Nov 2015 13:34:49 +0000 Motivated by the powerful capability of measurement for the hadron decays at LHC and SuperKEKB/Belle-II, the nonleptonic , , , , and decays are studied. With the amplitudes calculated with factorization approach and the form factors evaluated with the BSW model, branching fractions and polarization fractions are firstly presented. Numerically, the CKM-favored and decays have branching fractions ~10−8, which should be sought for with priority and firstly observed by LHC and Belle-II. The and decays are dominated by the longitudinal polarization states, while the parallel polarization fractions of decays are comparable with the longitudinal ones; numerically, + 95% and . Some comparisons between and their corresponding decays are performed, and the relation is found. With the implication of flavor symmetry, the ratios and are discussed and suggested to be verified experimentally. Qin Chang, Xiaohui Hu, Junfeng Sun, Xiaolin Wang, and Yueling Yang Copyright © 2015 Qin Chang et al. All rights reserved. Klein-Gordon Equation with Superintegrable Systems: Kepler-Coulomb, Harmonic Oscillator, and Hyperboloid Thu, 29 Oct 2015 14:06:33 +0000 We study the two-dimensional Klein-Gordon equation with spin symmetry in the presence of the superintegrable potentials. On Euclidean space, the group generators of the Schrödinger-like equation with the Kepler-Coulomb potential are represented. In addition, by Levi-Civita transformation, the Schrödinger-like equation with harmonic oscillator which is dual to the Kepler-Coulomb potential and the group generators of associated system are studied. Also, we construct the quadratic algebra of the hyperboloid superintegrable system. Then, we obtain the corresponding Casimir operators and the structure functions and the relativistic energy spectra of the corresponding quasi-Hamiltonians by using the quadratic algebra approach. V. Mohammadi, S. Aghaei, and A. Chenaghlou Copyright © 2015 V. Mohammadi et al. All rights reserved. Phase Transitions of the BTZ Black Hole in New Massive Gravity Sun, 25 Oct 2015 12:25:19 +0000 We investigate thermodynamics of the BTZ black hole in new massive gravity explicitly. For with being the mass parameter of fourth-order terms and AdS curvature radius, the Hawking-Page phase transition occurs between the BTZ black hole and AdS (thermal) soliton. For , however, this transition unlikely occurs but a phase transition between the BTZ black hole and the massless BTZ black hole is possible to occur. We may call the latter the inverse Hawking-Page phase transition and this transition is favored in the new massive gravity. Yun Soo Myung Copyright © 2015 Yun Soo Myung. All rights reserved. From the Schwarzschild Anti-de Sitter Black Hole to the Conformal Field Theory Sun, 25 Oct 2015 07:00:38 +0000 The emergence of the quantum gravitational effects in a very high energy regime necessitates some corrections to the thermodynamics of black holes. In this letter, we investigate a possible modification to the thermodynamics of Schwarzschild anti-de Sitter (SAdS) black holes due to rainbow gravity model. Using the correspondence between a ()-dimensional SAdS black hole and a conformal filed theory in -dimensional spacetime, one may find the corrections to the Cardy-Verlinde formula from the modified thermodynamics of the black hole. Furthermore, we show that the corrected Cardy-Verlinde formula can also be derived by redefining the Virasoro operator and the central charge. Akram Sadat Sefiedgar Copyright © 2015 Akram Sadat Sefiedgar. All rights reserved. On the Thermodynamic Properties of the Spinless Duffin-Kemmer-Petiau Oscillator in Noncommutative Plane Thu, 22 Oct 2015 11:40:45 +0000 The Duffin-Kemmer-Petiau oscillator for spin 0 particle in noncommutative plane is analyzed and the energy eigenvalue of the system is obtained by employing the functional analysis method. Furthermore, the thermodynamic properties of the noncommutative DKP oscillator are investigated via numerical method and the influence of noncommutative space on thermodynamic functions is also discussed. We show that the energy spectrum and corresponding thermodynamic functions of the considered physical systems depend explicitly on the noncommutative parameter which characterizes the noncommutativity of the space. Zhi Wang, Zheng-Wen Long, Chao-Yun Long, and Wei Zhang Copyright © 2015 Zhi Wang et al. All rights reserved. An Inconsistency in the Spectrum of Bosonic Open 2-Brane Wed, 21 Oct 2015 08:36:44 +0000 We show that the spectrum of a bosonic open 2-brane does not contain any massless states to take the role of gravitons. Moreover, the spectrum of this open 2-brane only contains half integer mass squared values. M. Abdul Wasay and Ding-fang Zeng Copyright © 2015 M. Abdul Wasay and Ding-fang Zeng. All rights reserved. Exploring New Models in All Detail with SARAH Thu, 15 Oct 2015 09:32:50 +0000 I give an overview about the features the Mathematica package SARAH provides to study new models. In general, SARAH can handle a wide range of models beyond the MSSM coming with additional chiral superfields, extra gauge groups, or distinctive features like Dirac gaugino masses. All of these models can be implemented in a compact form in SARAH and are easy to use: SARAH extracts all analytical properties of the given model like two-loop renormalization group equations, tadpole equations, mass matrices, and vertices. Also one- and two-loop corrections to tadpoles and self-energies can be obtained. For numerical calculations SARAH can be interfaced with other tools to get the mass spectrum, to check flavour or dark matter constraints, and to test the vacuum stability or to perform collider studies. In particular, the interface to SPheno allows a precise prediction of the Higgs mass in a given model comparable to MSSM precision by incorporating the important two-loop corrections. I show in great detail with the example of the B-L-SSM how SARAH together with SPheno, HiggsBounds/HiggsSignals, FlavorKit, Vevacious, CalcHep, MicrOmegas, WHIZARD, and MadGraph can be used to study all phenomenological aspects of a model. Florian Staub Copyright © 2015 Florian Staub. All rights reserved. Mesons in Asymmetric Hot and Dense Hadronic Matter Thu, 15 Oct 2015 09:06:29 +0000 The in-medium properties of mesons are investigated within the framework of an effective hadronic model, which is a generalization of a chiral model, to , in order to study the interactions of the charmed hadrons. In the present work, the mesons are observed to experience net attractive interactions in a dense hadronic medium, hence reducing the masses of the and mesons from the vacuum values. While this conclusion holds in both nuclear and hyperonic media, the magnitude of the mass drop is observed to intensify with the inclusion of strangeness in the medium. Additionally, in hyperonic medium, the mass degeneracy of the mesons is observed to be broken, due to opposite signs of the Weinberg-Tomozawa interaction term in the Lagrangian density. Along with the magnitude of the mass drops, the mass splitting between and mesons is also observed to grow with an increase in baryonic density and strangeness content of the medium. However, all medium effects analyzed are found to be weakly dependent on isospin asymmetry and temperature. We discuss the possible implications emanating from this analysis, which are all expected to make a significant difference to observables in heavy ion collision experiments, especially the upcoming Compressed Baryonic Matter (CBM) experiment at the future Facility for Antiproton and Ion Research (FAIR), GSI, where matter at high baryonic densities is planned to be produced. Divakar Pathak and Amruta Mishra Copyright © 2015 Divakar Pathak and Amruta Mishra. All rights reserved. Magnetic Moments of 70-Plet Baryons in Quark Model and QCD Sum Rules Mon, 12 Oct 2015 11:46:35 +0000 Magnetic moments of the positive parity 70-plet baryons are estimated in the framework of the nonrelativistic quark model and QCD sum rules method. It is found that the magnetic moments of the 70-plet baryons can be expressed in terms of the F and D couplings and exhibit unitary symmetry. The QCD sum rules for the magnetic moments of the 70-plet octet baryons are formulated. A comparison of our results on magnetic moments of 56-plet and 70-plet baryons predicted from QCD sum rules is presented. T. M. Aliev and V. S. Zamiralov Copyright © 2015 T. M. Aliev and V. S. Zamiralov. All rights reserved. Physics at a Fixed-Target Experiment Using the LHC Beams Wed, 07 Oct 2015 08:11:31 +0000 Jean-Philippe Lansberg, Gianluca Cavoto, Cynthia Hadjidakis, Jibo He, Cédric Lorcé, and Barbara Trzeciak Copyright © 2015 Jean-Philippe Lansberg et al. All rights reserved. Next-to-Leading Order Differential Cross Sections for , , and Production in Proton-Proton Collisions at a Fixed-Target Experiment Using the LHC Beams Mon, 05 Oct 2015 08:17:47 +0000 Using nonrelativistic QCD (NRQCD) factorization, we calculate the yields for , , and hadroproduction at  GeV and 115 GeV including the next-to-leading order QCD corrections. Both these center-of-mass energies correspond to those obtained with 7 TeV and 2.76 TeV nucleon beam impinging a fixed target. We study the cross section integrated in as a function of the (center-of-mass) rapidity as well as the differential cross section in the central rapidity region. Using different NLO fit results of the NRQCD long-distance matrix elements, we evaluate a theoretical uncertainty which is certainly much larger than the projected experimental uncertainties with the expected 20 fb−1 to be collected per year with AFTER@LHC for collision at the center of mass energy  GeV. Yu Feng and Jian-Xiong Wang Copyright © 2015 Yu Feng and Jian-Xiong Wang. All rights reserved. Supersymmetry beyond the NMSSM Mon, 05 Oct 2015 07:55:03 +0000 Florian Staub, Mark D. Goodsell, Michal Malinský, and Kai Schmidt-Hoberg Copyright © 2015 Florian Staub et al. All rights reserved. Vacuum Condensates as a Mechanism of Spontaneous Supersymmetry Breaking Sun, 04 Oct 2015 14:05:30 +0000 A possible mechanism for the spontaneous breaking of SUSY, based on the presence of vacuum condensates, is reviewed. Such a mechanism could occur in many physical examples, at both the fundamental and emergent levels, and would be formally analogous to spontaneous SUSY breaking at finite temperature in the TFD formalism, in which case it can be applied as well. A possible experimental setup for detecting such a breaking through measurement of the Anandan-Aharonov invariants associated with vacuum condensates in an optical lattice model is proposed. Antonio Capolupo and Marco Di Mauro Copyright © 2015 Antonio Capolupo and Marco Di Mauro. All rights reserved. The Gluon Sivers Distribution: Status and Future Prospects Sun, 04 Oct 2015 12:58:11 +0000 We review what is currently known about the gluon Sivers distribution and what are the opportunities to learn more about it. Because single transverse spin asymmetries in provide only indirect information about the gluon Sivers function through the relation with the quark-gluon and tri-gluon Qiu-Sterman functions, current data from hadronic collisions at RHIC have not yet been translated into a solid constraint on the gluon Sivers function. SIDIS data, including the COMPASS deuteron data, allow for a gluon Sivers contribution of natural size expected from large arguments, which is times the nonsinglet quark Sivers contribution. Several very promising processes to measure the gluon Sivers effect directly have been suggested, which besides RHIC investigations, would strongly favor experiments at AFTER@LHC and a possible future Electron-Ion Collider. Due to the inherent process dependence of TMDs, the gluon Sivers TMD probed in the various processes are different linear combinations of two universal gluon Sivers functions that have different behavior under charge conjugation and that therefore satisfy different theoretical constraints. For this reason both hadronic and DIS type of collisions are essential in the study of the role of gluons in transversely polarized protons. Daniël Boer, Cédric Lorcé, Cristian Pisano, and Jian Zhou Copyright © 2015 Daniël Boer et al. All rights reserved. Studies of Backward Particle Production with a Fixed-Target Experiment Using the LHC Beams Sun, 04 Oct 2015 12:56:02 +0000 The foreseen capability to cover the far backward region at a Fixed-Target Experiment using the LHC beams allows one to explore the dynamics of the target fragmentation in hadronic collisions. In this report we briefly outline the required theoretical framework and discuss a number of studies of forward and backward particle production. By comparing this knowledge with the one accumulated in Deep Inelastic Scattering on target fragmentation, the basic concept of QCD factorisation could be investigated in detail. Federico Alberto Ceccopieri Copyright © 2015 Federico Alberto Ceccopieri. All rights reserved. Antishadowing Effect on Charmonium Production at a Fixed-Target Experiment Using LHC Beams Sun, 04 Oct 2015 12:16:15 +0000 We investigate charmonium production in Pb + Pb collisions at LHC beam energy  TeV at fixed-target experiment ( = 72 GeV). In the frame of a transport approach including cold and hot nuclear matter effects on charmonium evolution, we focus on the antishadowing effect on the nuclear modification factors and for the yield and transverse momentum. The yield is more suppressed at less forward rapidity () than that at very forward rapidity () due to the shadowing and antishadowing in different rapidity bins. Kai Zhou, Zhengyu Chen, and Pengfei Zhuang Copyright © 2015 Kai Zhou et al. All rights reserved. Bremsstrahlung from Relativistic Heavy Ions in a Fixed Target Experiment at the LHC Sun, 04 Oct 2015 11:35:27 +0000 We calculate the emission of bremsstrahlung from lead and argon ions in ultraperipheral collisions in a fixed target experiment (AFTER) that uses the LHC beams. With nuclear charges of Ze equal to 82e and 18e, respectively, these ions are accelerated to energies of 7 Tev × Z. The bremsstrahlung peaks around ≈100 GeV and the spectrum exposes the nuclear structure of the incoming ion. The peak structure is significantly different from the flat power spectrum pertaining to a point charge. Photons are predominantly emitted within an angle of 1/γ to the direction of ion propagation. Our calculations are based on the Weizsäcker-Williams method of virtual quanta with application of existing experimental data on photonuclear interactions. Rune E. Mikkelsen, Allan H. Sørensen, and Ulrik I. Uggerhøj Copyright © 2015 Rune E. Mikkelsen et al. All rights reserved. Quarkonium Production and Proposal of the New Experiments on Fixed Target at the LHC Sun, 04 Oct 2015 11:09:14 +0000 The brief review of the experimental data on quarkonium productions measured at the CERN SPS, at the Brookhaven Collider RHIC, and at the LHC is presented. The dissociation of quarkonium resonances produced in heavy ion collisions was suggested as a possible signal of the Quark-Gluon Plasma formation. At the CERN SPS, the anomalous suppression of the production was observed in central Pb-Pb collisions by the NA50 collaboration. However, the effects of suppression on cold nuclear matter, feed-down production from higher charmonium states, and regeneration processes should be taken into account. If proton and ion beams at the LHC will be used with fixed targets, the energy interval between the SPS energy and the nominal RHIC energy (200 GeV) could be investigated. The high statistics data on quarkonium productions at these energies will give the possibility of clarifying the mechanism of charmonium productions to investigate the importance of the recombination process, since the probability of recombination decreases with decreasing the energy of collisions. A. B. Kurepin and N. S. Topilskaya Copyright © 2015 A. B. Kurepin and N. S. Topilskaya. All rights reserved. Quarkonium Suppression from Coherent Energy Loss in Fixed-Target Experiments Using LHC Beams Sun, 04 Oct 2015 09:42:48 +0000 Quarkonium production in proton-nucleus collisions is a powerful tool to disentangle cold nuclear matter effects. A model based on coherent energy loss is able to explain the available quarkonium suppression data in a broad range of rapidities, from fixed-target to collider energies, suggesting coherent energy loss in cold nuclear matter to be the dominant effect in quarkonium suppression in p-A collisions. This could be further tested in a high-energy fixed-target experiment using a proton or nucleus beam. The nuclear modification factors of and as a function of rapidity are computed in p-A collisions at  GeV, and in p-Pb and Pb-Pb collisions at  GeV. These center-of-mass energies correspond to the collision on fixed-target nuclei of 7 TeV protons and 2.76 TeV (per nucleon) lead nuclei available at the LHC. François Arleo and Stéphane Peigné Copyright © 2015 François Arleo and Stéphane Peigné. All rights reserved. Transverse Single-Spin Asymmetries in Proton-Proton Collisions at the AFTER@LHC Experiment in a TMD Factorisation Scheme Sun, 04 Oct 2015 09:41:32 +0000 The inclusive large- production of a single pion, jet or direct photon, and Drell-Yan processes, are considered for proton-proton collisions in the kinematical range expected for the fixed-target experiment AFTER, proposed at LHC. For all these processes, predictions are given for the transverse single-spin asymmetry, , computed according to a Generalised Parton Model previously discussed in the literature and based on TMD factorisation. Comparisons with the results of a collinear twist-3 approach, recently presented, are made and discussed. M. Anselmino, U. D’Alesio, and S. Melis Copyright © 2015 M. Anselmino et al. All rights reserved. Transverse Single-Spin Asymmetries in Proton-Proton Collisions at the AFTER@LHC Experiment Sun, 04 Oct 2015 09:39:11 +0000 We present results for transverse single-spin asymmetries in proton-proton collisions at kinematics relevant for AFTER, a proposed fixed-target experiment at the Large Hadron Collider. These include predictions for pion, jet, and direct photon production from analytical formulas already available in the literature. We also discuss specific measurements that will benefit from the higher luminosity of AFTER, which could help resolve an almost 40-year puzzle of what causes transverse single-spin asymmetries in proton-proton collisions. K. Kanazawa, Y. Koike, A. Metz, and D. Pitonyak Copyright © 2015 K. Kanazawa et al. All rights reserved. A Chargeless Complex Vector Matter Field in Supersymmetric Scenario Sun, 04 Oct 2015 09:39:11 +0000 We construct and study a formulation of a chargeless complex vector matter field in a supersymmetric framework. To this aim we combine two nochiral scalar superfields in order to take the vector component field to build the chargeless complex vector superpartner where the respective field strength transforms into matter fields by a global gauge symmetry. For the aim of dealing with consistent terms without breaking the global symmetry we imposes a choice to the complex combination revealing a kind of symmetry between the choices and eliminates the extra degrees of freedom which is consistent with the supersymmetry. As the usual case the mass supersymmetric sector contributes as a complement to dynamics of the model. We obtain the equations of motion of the Proca’s type field for the chiral spinor fields and for the scalar field on the mass-shell which show the same mass as expected. This work establishes the first steps to extend the analysis of charged massive vector field in a supersymmetric scenario. L. P. Colatto and A. L. A. Penna Copyright © 2015 L. P. Colatto and A. L. A. Penna. All rights reserved.