Advances in High Energy Physics

Volume 2013, Article ID 293986, 39 pages

http://dx.doi.org/10.1155/2013/293986

Review Article

## Current Direct Neutrino Mass Experiments

^{1}Institut für Experimentelle Kernphysik, Karlsruher Institut für Technologie, 76021 Karlsruhe, Germany^{2}Institut für Kernphysik, Westfälische Wilhelms-Universität Münster, 48149 Münster, Germany

Received 12 July 2012; Accepted 9 October 2012

Academic Editor: Arthur B. McDonald

Copyright © 2013 G. Drexlin et al. 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.

#### Linked References

- T. Kajita, “Atmospheric neutrinos,”
*Advances in High Energy Physics*, vol. 2012, Article ID 504715, 24 pages, 2012. View at Publisher · View at Google Scholar - V. Antonelli, L. Miramonti, C. Peña Garay, and A. Serenelli, “Solar neutrinos,”
*Advances in High Energy Physics*. In press. - J. M. Conrad, C. M. Ignarra, G. Karagiorgi, M. H. Shaevitz, and J. Spitz, “Sterile neutrino fits to short baseline neutrino oscillation measurements,”
*Advances in High Energy Physics*. In press. - J. J. Hartnell, T. Kobayashi, and G. Feldman, “Long baseline neutrino oscillation experiments,”
*Advances in High Energy Physics*. In press. - T. Lasserre, Y. Wang, and S. B. Kim, “Reactor neutrinos,”
*Comptes Rendus Physique*, vol. 6, pp. 749–757, 2005. View at Google Scholar - J. Lesgourgues and S. Pastor, “Neutrino mass from cosmology,”
*Advances in High Energy Physics*, vol. 2012, Article ID 608515, 34 pages, 2012. View at Publisher · View at Google Scholar - S. Petcov, “The nature of massive neutrinos,”
*Advances in High Energy Physics*. In press. - R. N. Mohapatra, “Origin of neutrino masses and mixings,”
*Nuclear Physics*, vol. 91, no. 1–3, pp. 313–320, 2001. View at Google Scholar - E. Komatsu, K. M. Smith, J. Dunkley et al., “Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) observations: cosmological interpretation,”
*Astrophysical Journal Supplement*, vol. 192, article 18, 2011. View at Google Scholar - H. Aihara, C. Allende Prieto, D. An et al., “The eighth data release of the sloan digital sky survey: first data from SDSS-III,”
*Astrophysical Journal, Supplement Series*, vol. 193, no. 2, article 29, 2011, Erratum in*Astrophysical Journal , Supplement Series*, vol. 195, article 26, 2011. View at Publisher · View at Google Scholar - K. N. Abazajian, E. Calabrese, A. Cooray et al., “Cosmological and astrophysical neutrino mass measurements,”
*Astroparticle Physics*, vol. 35, no. 4, pp. 177–184, 2011. View at Publisher · View at Google Scholar - A. Giuliani and A. Poves, “Neutrinoless double-beta decay,”
*Advances in High Energy Physics*, vol. 2012, Article ID 857016, 38 pages, 2012. View at Publisher · View at Google Scholar - H. V. Klapdor-Kleingrothaus and I. V. Krivosheina, “The evidence for the observation of 0
*ν**β**β*decay: the identification of 0*ν**β**β*events from the full spectra,”*Modern Physics Letters A*, vol. 21, no. 20, pp. 1547–1566, 2006. View at Publisher · View at Google Scholar · View at Scopus - M. Auger, D. J. Auty, P. S. Barbeau et al., “Search for neutrinoless double-beta decay in 136Xe with EXO-200,”
*Physical Review Letters*, vol. 109, no. 3, Article ID 032505, 6 pages, 2012. View at Publisher · View at Google Scholar - G. L. Fogli, E. Lisi, A. Marrone et al., “Global analysis of neutrino masses, mixings and phases: entering the era of leptonic CP violation searches,”
*Physical Review D*, vol. 86, no. 1, Article ID 013012, 10 pages, 2012. View at Google Scholar - T. J. Loredo and D. Q. Lamb, “Bayesian analysis of neutrinos observed from supernova SN 1987A,”
*Physical Review D*, vol. 65, no. 6, Article ID 063002, 2002. View at Publisher · View at Google Scholar - G. Pagliaroli, F. Rossi-Torres, and F. Vissani, “Neutrino mass bound in the standard scenario for supernova electronic antineutrino emission,”
*Astroparticle Physics*, vol. 33, no. 5-6, pp. 287–291, 2010. View at Publisher · View at Google Scholar - R. G. H. Robertson and D. A. Knapp, “Direct measurement of neutrino mass,”
*Annual Review of Nuclear and Particle Science*, vol. 38, p. 185, 1988. View at Google Scholar - E. Holzschuh, “Measurement of the neutrino mass from tritium
*β*-decay,”*Reports on Progress in Physics*, vol. 55, no. 7, pp. 1035–1091, 1992. View at Publisher · View at Google Scholar - J. F. Wilkerson and R. G. H. Robertson, “Direct measurement of neutrino mass,” in
*Current Aspects of Neutrino Physics*, D. O. Caldwell, Ed., p. 39, Springer, Berlin, Germany, 2001. View at Google Scholar - C. Weinheimer, “Laboratory limits on neutrino masses,” in
*Massive Neutrinos*, G. Altarelli and K. Winter, Eds., Springer Tracts in Modern Physics, p. 25, Springer, 2003. View at Google Scholar - E. W. Otten and C. Weinheimer, “Neutrino mass limit from tritium
*β*decay,”*Reports on Progress in Physics*, vol. 71, no. 8, Article ID 086201, 2008. View at Publisher · View at Google Scholar · View at Scopus - A. Giuliani, “Neutrino physics with low-temperature detectors,”
*Journal of Low Temperature Physics*, vol. 167, pp. 991–1003, 2012. View at Google Scholar - N. Severijns, M. Beck, and O. Naviliat-Cuncic, “Tests of the standard electroweak model in nuclear beta decay,”
*Reviews of Modern Physics*, vol. 78, no. 3, pp. 991–1040, 2006. View at Publisher · View at Google Scholar · View at Scopus - K. Blaum, Y. N. Novikov, and G. Werth, “Penning traps as a versatile tool for precise experiments in fundamental physics,”
*Contemporary Physics*, vol. 51, no. 2, pp. 149–175, 2010. View at Publisher · View at Google Scholar · View at Scopus - Ch. Weinheimer, M. Przyrembel, H. Backe et al., “Improved limit on the electron-antineutrino rest mass from tritium
*β*-decay,”*Physics Letters B*, vol. 300, no. 3, pp. 210–216, 1993. View at Google Scholar - S. S. Masood, S. Nasri, J. Schechter, M. A. Tórtola, J. W. F. Valle, and C. Weinheimer, “Exact relativistic
*β*decay endpoint spectrum,”*Physical Review C*, vol. 76, no. 4, Article ID 045501, 2007. View at Publisher · View at Google Scholar - W. W. Repko and C.-E. Wu, “Radiative corrections to the end point of the tritium decay spectrum,”
*Physical Review C*, vol. 28, no. 6, pp. 2433–2436, 1983. View at Publisher · View at Google Scholar - S. Gardner, V. Bernard, and U.-G. Meißner, “Radiative tritium
*β*-decay and the neutrino mass,”*Physics Letters B*, vol. 598, no. 3-4, pp. 188–196, 2004. View at Publisher · View at Google Scholar - G. J. Stephenson and T. Goldman, “A possible solution to the tritium endpoint problem,”
*Physics Letters B*, vol. 440, no. 1-2, pp. 89–93, 1998. View at Google Scholar · View at Scopus - A. Y. Ignatiev and B. H. J. McKellar, “Possible new interactions of neutrino and the KATRIN experiment,”
*Physics Letters B*, vol. 633, no. 1, pp. 89–92, 2006. View at Publisher · View at Google Scholar · View at Scopus - R. Dvornicky, F. Šimkovic, and A. Faessler, “Beyond the standard model interactions in
*β*-decay of tritium,”*Progress in Particle and Nuclear Physics*, vol. 64, no. 2, pp. 303–305, 2010. View at Publisher · View at Google Scholar · View at Scopus - J. Bonn, K. Eitel, F. Glück, D. Sevilla-Sanchez, N. Titov, and K. Blaum, “The KATRIN sensitivity to the neutrino mass and to right-handed currents in beta decay,”
*Physics Letters B*, vol. 703, no. 3, pp. 310–312, 2011. View at Publisher · View at Google Scholar - A. Saenz, S. Jonsell, and P. Froelich, “Improved molecular final-state distribution of HeT
^{+}for the*β*-decay process of T_{2},”*Physical Review Letters*, vol. 84, no. 2, pp. 242–245, 2000. View at Google Scholar · View at Scopus - N. Doss, J. Tennyson, A. Saenz, and S. Jonsell, “Molecular effects in investigations of tritium molecule
*β*decay endpoint experiments,”*Physical Review C*, vol. 73, no. 2, pp. 1–10, 2006. View at Publisher · View at Google Scholar · View at Scopus - N. Doss and J. Tennyson, “Excitations to the electronic continuum of
^{3}HeT^{+}in investigations of T_{2}*β*-decay experiments,”*Journal of Physics B*, vol. 41, no. 12, Article ID 125701, 2008. View at Publisher · View at Google Scholar · View at Scopus - B. J. Mount, M. Redshaw, and E. G. Myers, “Q value of ${}^{115}\text{I}\text{n}\to {}^{\text{115}}\text{S}\text{n}(3/{2}^{+})$: the lowest known energy
*β*decay,”*Physical Review Letters*, vol. 103, Article ID 122502, 2009. View at Google Scholar - J. S. E. Wieslander, J. Suhonen, T. Eronen et al., “Known Q value of any nuclear decay: the rare ${\beta}^{-}$ decay of ${}^{115}\text{I}\text{n}(9/{2}^{+})\to {}^{\text{115}}\text{S}\text{n}(3/{2}^{+})$,”
*Physical Review Letters*, vol. 103, Article ID 122501, 2009. View at Google Scholar - R. Dvornický, K. Muto, F. Šimkovic, and A. Faessler, “Absolute mass of neutrinos and the first unique forbidden
*β*decay of^{187}Re,”*Physical Review C*, vol. 83, no. 4, Article ID 045502, 2011. View at Publisher · View at Google Scholar - K. S. Hirata, T. Kajita, M. Koshiba et al., “Observation in the Kamiokande-II detector of the neutrino burst from supernova SN1987A,”
*Physical Review D*, vol. 38, no. 2, pp. 448–458, 1988. View at Publisher · View at Google Scholar - C. B. Bratton, D. Casper, A. Ciocio et al., “Angular distribution of events from SN1987A,”
*Physical Review D*, vol. 37, no. 12, pp. 3361–3363, 1988. View at Publisher · View at Google Scholar - E. N. Alekseev, L. N. Alekseeva, V. I. Volchenko et al., “Possible detection of a neutrino signal on 23 February 1987 at the Baksan underground scintillation telescope of the Institute of Nuclear Research,”
*Journal of Experimental and Theoretical Physics Letters*, vol. 45, pp. 589–592, 1987. View at Google Scholar - G. G. Raffelt, “Particle physics from stars,”
*Annual Review of Nuclear and Particle Science*, vol. 49, no. 1, pp. 163–216, 1999. View at Google Scholar - “Webpage of the SuperNova Early Warning System,” http://snews.bnl.gov.
- J. F. Beacom, R. N. Boyd, and A. Mezzacappa, “Technique for direct eV-scale measurements of the Mu and Tau neutrino masses using supernova neutrinos,”
*Physical Review Letters*, vol. 85, no. 17, pp. 3568–3571, 2000. View at Publisher · View at Google Scholar · View at Scopus - A. De Rújula, “A new way to measure neutrino masses,”
*Nuclear Physics B*, vol. 188, no. 3, pp. 414–458, 1981. View at Google Scholar - P. T. Springer, C. L. Bennett, and P. A. Baisden, “Measurement of the neutrino mass using the inner bremsstrahlung emitted in the electron-capture decay of
^{163}Ho,”*Physical Review A*, vol. 35, no. 2, pp. 679–689, 1987. View at Publisher · View at Google Scholar - S. Yasumi, H. Maezawa, K. Shima et al., “The mass of the electron neutrino from electron capture in
^{163}Ho,”*Physics Letters B*, vol. 334, no. 1-2, pp. 229–233, 1994. View at Google Scholar - M. Jung, F. Bosch, K. Beckert et al., “First observation of bound-state
*β*—decay,”*Physical Review Letters*, vol. 69, no. 15, pp. 2164–2167, 1992. View at Publisher · View at Google Scholar - S. C. Curran, J. Angus, A. L. Cockroft et al., “Investigation of soft radiations—II. The beta spectrum of tritium,”
*Philosophical Magazine Series*, vol. 40, pp. 53–60, 1949. View at Google Scholar - V. A. Lubimov et al., “An estimate of the ${v}_{e}$ mass from the
*β*-spectrum of tritium in the valine molecule,”*Physics Letters B*, vol. 94, p. 266, 1980. View at Google Scholar - S. Boris, A. Golutvin, L. Laptin et al., “Neutrino mass from the beta spectrum in the decay of tritium,”
*Physical Review Letters*, vol. 58, no. 20, pp. 2019–2022, 1987. View at Publisher · View at Google Scholar - M. Fritschi, E. Holzschuh, W. Kündig, J. W. Petersen, R. E. Pixley, and H. Stüssi, “An upper limit for the mass of ${\overline{v}}_{e}$ from tritium
*β*-decay,”*Physics Letters B*, vol. 173, no. 4, pp. 485–489, 1986. View at Google Scholar - J. F. Wilkerson, T. J. Bowles, J. C. Browne et al., “Limit on anti-${v}_{e}$ mass from free-molecular-tritium beta decay,”
*Physical Review Letters*, vol. 58, pp. 2023–2026, 1987. View at Google Scholar - E. T. Lippmaa, R. I. Pikver, E. R. Suurmaa et al., “Mass difference of the $T-3He$ doublet and the problem of the rest mass of the electron antineutrino,”
*Soviet Physics Doklady*, vol. 30, p. 393, 1985. View at Google Scholar - R. S. Van Dyck Jr., D. L. Farnham, and P. B. Schwinberg, “Tritium-helium-3 mass difference using the penning trap mass spectroscopy,”
*Physical Review Letters*, vol. 70, no. 19, pp. 2888–2891, 1993. View at Publisher · View at Google Scholar - Sz. Nagy, T. Fritioff, M. Björkhage, I. Bergström, and R. Schuch, “On the Q-value of the tritium
*β*-decay,”*Europhysics Letters*, vol. 74, no. 3, pp. 404–410, 2006. View at Publisher · View at Google Scholar - R. G. H. Robertson, T. J. Bowles, G. J. Stephenson et al., “Limit on anti-${v}_{e}$ mass from the observation of the
*β*decay of molecular tritium,”*Physical Review Letters*, vol. 67, pp. 957–960, 1991. View at Google Scholar - E. Holzschuh, M. Fritschi, and W. Kündig, “Measurement of the electron neutrino mass from tritium
*β*-decay,”*Physics Letters B*, vol. 287, no. 4, pp. 381–388, 1992. View at Google Scholar - H. Kawakami, S. Kato, T. Ohshima et al., “New upper bound on the electron anti-neutrino mass,”
*Physics Letters B*, vol. 256, no. 1, pp. 105–111, 1991. View at Google Scholar - C. R. Ching, T.-H. Ho, D.-Q. Liang et al., “A possible explanation of the negative values of ${m}_{{v}_{e}}^{2}$ obtained from the
*β*spectrum shape analyses,”*International Journal of Modern Physics A*, vol. 10, pp. 2841–2850, 1995. View at Google Scholar - W. Stoeffl and D. J. Decman, “Anomalous structure in the
*β*decay of gaseous molecular tritium,”*Physical Review Letters*, vol. 75, no. 18, pp. 3237–3240, 1995. View at Publisher · View at Google Scholar - Ch. Weinheimer, B. Degenddag, A. Bleile et al., “High precision measurement of the tritium
*β*spectrum near its endpoint and upper limit on the neutrino mass,”*Physics Letters B*, vol. 460, no. 1-2, pp. 219–226, 1999. View at Google Scholar - C. Kraus, B. Bornschein, L. Bornschein et al., “Final results from phase II of the Mainz neutrino mass search in tritium $\beta $ decay,”
*European Physical Journal C*, vol. 40, pp. 447–468, 2005. View at Google Scholar - A. I. Belesev, A. I. Bleuie, E. V. Geraskin et al., “Results of the Troitsk experiment on the search for the electron antineutrino rest mass in tritium beta-decay,”
*Physics Letters B*, vol. 350, no. 2, pp. 263–272, 1995. View at Google Scholar - V. M. Lobashev, V. N. Aseev, A. I. Belesev et al., “Direct search for mass of neutrino and anomaly in the tritium beta-spectrum,”
*Physics Letters B*, vol. 460, no. 1-2, pp. 227–235, 1999. View at Google Scholar - V. N. Aseev, A. I. Belesev, A. I. Berlev et al., “Upper limit on the electron antineutrino mass from the Troitsk experiment,”
*Physical Review D*, vol. 84, no. 11, Article ID 112003, 2011. View at Publisher · View at Google Scholar - L. Fleischmann, J. Bonn, B. Bornschein et al., “On dewetting dynamics of solid films of hydrogen isotopes and its influence on tritium
*β*spectroscopy,”*European Physical Journal B*, vol. 16, no. 3, pp. 521–529, 2000. View at Google Scholar - P. Kruit and F. H. Read, “Magnetic field paralleliser for 2
*π*electron-spectrometer and electron-image magnifier,”*Journal of Physics E*, vol. 16, no. 4, Article ID 016, pp. 313–324, 1983. View at Publisher · View at Google Scholar - A. Picard, H. Backe, H. Barth et al., “A solenoid retarding spectrometer with high resolution and transmission for keV electrons,”
*Nuclear Instruments and Methods in Physics Research B*, vol. 63, no. 3, pp. 345–358, 1992. View at Google Scholar - V. M. Lobashev, “The search for the neutrino mass by direct method in the tritium beta-decay and perspectives of study it in the project KATRIN,”
*Nuclear Physics A*, vol. 719, no. 1–4, pp. C153–C160, 2003. View at Publisher · View at Google Scholar - J. Angrik, T. Armbrust, A. Beglarian et al., “KATRIN design report 2004,” Tech. Rep., Forschungszentrum, Karlsruhe, Germany, 2005. View at Google Scholar
- B. Müller, T. Thümmler, J. Bonn et al., “Particle storage in MAC-E-filters,”
*Nuclear Physics B*, vol. 118, p. 481, 2003. View at Publisher · View at Google Scholar - J. Bonn, L. Bornschein, B. Degen, E. W. Otten, and Ch. Weinheimer, “A high resolution electrostatic time-of-flight spectrometer with adiabatic magnetic collimation,”
*Nuclear Instruments and Methods in Physics Research A*, vol. 421, no. 1-2, pp. 256–265, 1999. View at Publisher · View at Google Scholar - N. Steinbrink,
*Simulation of electron neutrino mass measurements by time-of-flight with KATRIN [Ph.D. thesis]*, University of Münster, 2012. - V. N. Aseev, A. I. Belesev, A. I. Berlev et al., “Energy loss of 18 keV electrons in gaseous T
_{2}and quench condensed D_{2}films,”*European Physical Journal D*, vol. 10, no. 1, pp. 39–52, 2000. View at Google Scholar - H. Barth, L. Bornschein, B. Degen et al., “Status and perspectives of the Mainz neutrino mass experiment,”
*Progress in Particle and Nuclear Physics*, vol. 40, no. 1, pp. 353–376, 1998. View at Google Scholar - B. Bornschein, J. Bonn, L. Bornschein, E. W. Otten, and Ch. Weinheimer, “Self-charging of quench condensed tritium films,”
*Journal of Low Temperature Physics*, vol. 131, no. 1-2, pp. 69–88, 2003. View at Publisher · View at Google Scholar - W. Kolos, B. Jeziorski, J. Rychlewski, K. Szalewicz, H. J. Monkhorst, and O. Fackler, “Molecular effects in tritium decay. IV. Effect of crystal excitations on neutrino mass determination,”
*Physical Review A*, vol. 37, no. 7, pp. 2297–2303, 1988. View at Publisher · View at Google Scholar - G. J. Feldman and R. D. Cousins, “Unified approach to the classical statistical analysis of small signals,”
*Physical Review D*, vol. 57, no. 7, pp. 3873–3889, 1998. View at Google Scholar - C. Kraus, A. Singer, K. Valerius et al., “Limit on sterile neutrino contribution from the Mainz Neutrino Mass Experiment,” http://arxiv.org/abs/1210.4194.
- M. Galeazzi, F. Fontanelli, F. Gatti, and S. Vitale, “End-point energy and half-life of the
^{187}Re*β*decay,”*Physical Review C*, vol. 63, no. 1, pp. 143021–143027, 2001. View at Publisher · View at Google Scholar - C. Arnaboldi, G. Benedek, C. Brofferio et al., “Measurement of the p to s wave branching ratio of
^{187}Re*β*decay from beta environmental fine structure,”*Physical Review Letters*, vol. 96, no. 4, Article ID 042503, 2006. View at Publisher · View at Google Scholar - M. Sisti, C. Arnaboldi, C. Brofferio et al., “New limits from the Milano neutrino mass experiment with thermal microcalorimeters,”
*Nuclear Instruments and Methods in Physics Research A*, vol. 520, no. 1–3, pp. 125–131, 2004. View at Publisher · View at Google Scholar - F. Gatti, “Microcalorimeter measurements,”
*Nuclear Physics B*, vol. 91, no. 1–3, pp. 293–296, 2001. View at Google Scholar - G. Drexlin, “KATRIN—direct measurement of a sub-eV neutrino mass,”
*Nuclear Physics B*, vol. 145, no. 1–3, pp. 263–267, 2005. View at Publisher · View at Google Scholar - G. Mention, M. Fechner, Th. Lasserre et al., “Reactor antineutrino anomaly,”
*Physical Review D*, vol. 83, no. 7, Article ID 073006, 2011. View at Publisher · View at Google Scholar - P. Anselmann, W. Hampel, G. Heusser et al., “GALLEX solar neutrino observations: complete results for GALLEX II,”
*Physics Letters B*, vol. 357, no. 1-2, pp. 237–247, 1995. View at Google Scholar - J. N. Abdurashitov, V. N. Gavrin, S. V. Girin et al., “Measurement of the response of a Ga solar neutrino experiment to neutrinos from a
^{37}Ar source,”*Physical Review C*, vol. 73, no. 4, Article ID 045805, 2006. View at Publisher · View at Google Scholar - A. A. Aguilar-Arevalo, A. O. Bazarko, S. J. Brice et al., “Search for electron neutrino appearance at the $\mathrm{\Delta}{m}^{2}\approx \mathrm{1\hspace{0.17em}}e{V}^{2}$ scale,”
*Physical Review Letters*, vol. 98, no. 23, Article ID 231801, 2007. View at Publisher · View at Google Scholar - A. Sejersen-Riis and S. Hannestad, “Detecting sterile neutrinos with KATRIN like experiments,”
*Journal of Cosmology and Astroparticle Physics*, vol. 2011, no. 2, Article ID 011, 2011. View at Publisher · View at Google Scholar - J. A. Formaggio and J. Barrett, “Resolving the reactor neutrino anomaly with the KATRIN neutrino experiment,”
*Physics Letters B*, vol. 706, no. 1, pp. 68–71, 2011. View at Publisher · View at Google Scholar - A. Esmaili and O. L. G. Peres, “KATRIN sensitivity to sterile neutrino mass in the shadow of lightest neutrino mass,”
*Physical Review D*, vol. 85, no. 11, Article ID 117301, 2012. View at Publisher · View at Google Scholar - V. S. Basto-Gonzalez, A. Esmaili, and O. L. G. Peres, “Kinematical test of large extra dimension in beta decay experiments,”
*Physics Letters B*, vol. 718, no. 3, pp. 1020–1023, 2013. View at Google Scholar - J. M Carmona and J. L Cortés, “Testing Lorentz invariance violations in the tritium beta-decay anomaly,”
*Physics Letters B*, vol. 494, no. 1-2, pp. 75–80, 2000. View at Publisher · View at Google Scholar - D. Furse et al., “KASSIOPEIA—the simulation package for the KATRIN experiment,” to be published.
- F. Glück, “Axisymmetric electric field calculation with zonal harmonic expansion,”
*Progress in Electromagnetics Research B*, vol. 32, pp. 319–350, 2011. View at Publisher · View at Google Scholar - F. Glück, “Axisymmetric magnetic field calculation with zonal harmonic expansion,”
*Progress in Electromagnetics Research B*, vol. 32, pp. 351–388, 2011. View at Publisher · View at Google Scholar - P. Renschler,
*KESS—a new Monte Carlo simulation code for low-energy electron interactions in silicon detectors [Ph.D. thesis]*, KIT, 2011. - J. A. Formaggio, P. Lazić, T. J. Corona, H. Štefančic, H. Abraham, and F. Glück, “Solving for micro- and macro-scale electrostatic configurations using the Robin Hood algorithm,”
*Progress in Electromagnetics Research B*, vol. 39, pp. 1–37, 2012. View at Google Scholar - J. H. Verner, “Explicit Runge-Kutta methods with estimates of the local truncation error,”
*SIAM Journal on Numerical Analysis*, vol. 15, no. 4, pp. 772–790, 1978. View at Publisher · View at Google Scholar · View at Zentralblatt MATH - P. J. Prince and J. R. Dormand, “High order embedded Runge-Kutta formulae,”
*Journal of Computational and Applied Mathematics*, vol. 7, no. 1, pp. 67–75, 1981. View at Publisher · View at Google Scholar · View at Zentralblatt MATH - Ch. Tsitouras and S. N. Papakostas, “Cheap error estimation for Runge-Kutta methods,”
*Journal on Scientific Computing*, vol. 20, no. 6, pp. 2067–2088, 1999. View at Publisher · View at Google Scholar · View at Zentralblatt MATH - W. Hwang, Y.-K. Kim, and M. E. Rudd, “New model for electron-impact ionization cross sections of molecules,”
*Journal of Chemical Physics*, vol. 104, no. 8, pp. 2956–2966, 1996. View at Google Scholar - S. Trajmar, D. F. Register, and A. Chutjian, “Electron scattering by molecules II. Experimental methods and data,”
*Physics Reports*, vol. 97, no. 5, pp. 219–356, 1983. View at Google Scholar - H. Tawara, Y. Itikawa, H. Nishimura et al., “Cross sections and related data for electron collisions with hydrogen molecules and molecular ions,”
*Journal of Physical and Chemical Reference Data*, vol. 19, pp. 617–636, 1990. View at Google Scholar - M. Babutzka, M. Bahr, J. Bonn et al., “Monitoring of the properties of the KATRIN Windowless gaseous tritium source,” http://arxiv.org/abs/1205.5421v1.
- W. Käfer,
*Sensitivity studies for the KATRIN experiment [Ph.D. thesis]*, KIT, 2012. - N. Wandkowsky et al., “Simulation of background from trapped electrons following radon
*α*-decays in the KATRIN pre-spectrometer,” to be published. - M. Prall, P. Renschler, F. Glück et al., “The KATRIN pre-spectrometer at reduced filter energy,”
*New Journal of Physics*, vol. 14, Article ID 073054, 2012. View at Publisher · View at Google Scholar - B. Bornschein, “Between fusion and cosmology—the future of the tritium laboratory karlsruhe,”
*Fusion Science and Technology*, vol. 60, no. 3, pp. 1088–1091, 2011. View at Google Scholar - F. Glück, “Tritium gas flow in the KATRIN source tube,” to be published.
- V. N. Aseev, A. I. Belesev, A. I. Berlev et al., “Energy loss of 18 keV electrons in gaseous T
_{2}and quench condensed D_{2}films,”*European Physical Journal D*, vol. 10, no. 1, pp. 39–52, 2000. View at Google Scholar - S. Dushman,
*Scientific Foundations of Vacuum Technique*, John Wiley & Sons, New York, NY, USA, 1962. - S. Grohmann, J. Bonn, B. Bornschein et al., “Cryogenic design of the KATRIN source cryostat,” in
*Proceedings of the Transactions of the Cryogenic Engineering Conference (CEC '07)*, vol. 985, pp. 1277–1284, Chattanooga, TN, USA, July 2008. View at Publisher · View at Google Scholar - S. Grohmann, T. Bode, H. Schön, and M. Süßer, “Precise temperature measurement at 30 K in the KATRIN source cryostat,”
*Cryogenics*, vol. 51, no. 8, pp. 438–445, 2011. View at Publisher · View at Google Scholar - D. A. Long,
*The Raman Effect: A Unified Treatment of the Theory of Raman Scattering by Molecules*, Wiley, Chichester, UK, 2002. - R. J. Lewis, H. H. Telle, B. Bornschein, O. Kazachenko, N. Kernert, and M. Sturm, “Dynamic Raman spectroscopy of hydrogen isotopomer mixtures in-line at TILO,”
*Laser Physics Letters*, vol. 5, no. 7, pp. 522–531, 2008. View at Publisher · View at Google Scholar - M. Sturm, M. Schlösser, R. J. Lewis, B. Bornschein, G. Drexlin, and H. H. Telle, “Monitoring of all hydrogen isotopologues at tritium laboratory Karlsruhe using Raman spectroscopy,”
*Laser Physics*, vol. 20, no. 2, pp. 493–507, 2010. View at Publisher · View at Google Scholar - M. Schlösser, S. Fischer, M. Sturm, B. Bornschein, R. J. Lewis, and H. H. Telle, “Design implications for laser raman measurement systems for tritium sample-analysis, accountancy or process-control applications,”
*Fusion Science and Technology*, vol. 60, no. 3, pp. 976–981, 2011. View at Google Scholar - S. Fischer, M. Sturm, M. Schlösser et al., “Monitoring of tritium purity during long-term circulation in the KATRIN test experiment LOOPINO using laser raman spectroscopy,”
*Fusion Science and Technology*, vol. 60, no. 3, pp. 925–930, 2011. View at Google Scholar - M. Beck et al., “An angular selective electron source for the KATRIN experiment,” to be published.
- K. Valerius, M. Beck, H. Arlinghaus et al., “A UV LED-based fast-pulsed photoelectron source for time-of-flight studies,”
*New Journal of Physics*, vol. 11, Article ID 063018, 2009. View at Publisher · View at Google Scholar - K. Hugenberg, “An angular resolved pulsed UV LED photoelectron source for KATRIN,”
*Progress in Particle and Nuclear Physics*, vol. 64, no. 2, pp. 288–290, 2010. View at Publisher · View at Google Scholar - K. Valerius, H. Hein, H. Baumeister et al., “Prototype of an angular-selective photoelectron calibration source for the KATRIN experiment,”
*Journal of Instrumentation*, vol. 6, no. 1, Article ID P01002, 2011. View at Publisher · View at Google Scholar - A. R. Nastoyashchii, N. A. Titov, I. N. Morozov, F. Glück, and E. W. Otten, “Effects of plasma phenomena on neutrino mass measurements process using a gaseous tritium
*β*-source,”*Fusion Science and Technology*, vol. 48, pp. 743–746, 2005. View at Google Scholar - S. Lukic, B. Bornschein, L. Bornschein et al., “Measurement of the gas-flow reduction factor of the KATRIN DPS2-F differential pumping section,”
*Vacuum*, vol. 86, no. 8, pp. 1126–1133, 2012. View at Google Scholar - X. Luo, Ch. Day, V. Hauera et al., “Monte Carlo simulation of gas flow through the KATRIN DPS2-F differential pumping system,”
*Vacuum*, vol. 80, no. 8, pp. 864–869, 2006. View at Google Scholar - W. Gil, J. Bonn, B. Bornschein et al., “The cryogenic pumping section of the KATRIN experiment,”
*IEEE Transactions on Applied Superconductivity*, vol. 20, no. 3, pp. 316–319, 2010. View at Publisher · View at Google Scholar - X. Luo and Ch. Day, “Test particle Monte Carlo study of the cryogenic pumping system of the Karlsruhe tritium neutrino experiment,”
*Journal of Vacuum Science and Technology A*, vol. 26, no. 5, pp. 1319–1325, 2008. View at Publisher · View at Google Scholar - A. Kosmider,
*Tritium retention techniques in the KATRIN transport section and commissioning of its DPS2-F cryostat [Ph.D. thesis]*, KIT, 2012. - J. Wolf, B. Bornschein, G. Drexlin et al., “Investigation of turbo-molecular pumps in strong magnetic fields,”
*Vacuum*, vol. 86, no. 4, pp. 361–369, 2011. View at Publisher · View at Google Scholar - M. Ubieto-Díaz, D. Rodríguez, S. Lukic, Sz. Nagy, S. Stahl, and K. Blaum, “A broad-band FT-ICR Penning trap system for KATRIN,”
*International Journal of Mass Spectrometry*, vol. 288, no. 1–3, pp. 1–5, 2009. View at Publisher · View at Google Scholar - W. Gil, J. Bonn, O. Dormicchi et al., “Status of the magnets of the two tritium pumping sections for KATRIN,”
*IEEE Transactions on Applied Superconductivity*, vol. 22, no. 3, Article ID 6072243, 2012. View at Publisher · View at Google Scholar - O. Kazachenko, B. Bornschein, L. Bornschein, F. Eichelhardt, N. Kernert, and H. Neumann, “TRAP—a cryo-pump for pumping tritium on pre-condensed argon,”
*Nuclear Instruments and Methods in Physics Research A*, vol. 587, no. 1, pp. 136–144, 2008. View at Publisher · View at Google Scholar - B. Ostrick,
*Eine kondensierte*, University of Münster, 2009.^{83m}Kr-Kalibrationsquelle für das KATRIN-Experiment [Ph.D. thesis] - S. Mertens,
*Study of background processes in the electrostatic spectrometers of the KATRIN experiment [Ph.D. thesis]*, KIT, 2012. - F. Fränkle,
*Background investigations of the KATRIN pre-spectrometer [Ph.D. thesis]*, KIT, 2010. - KATRIN Webpage, http://www.katrin.kit.edu/.
- A. Osipowicz, W. Seller, J. Letnev et al., “A mobile magnetic sensor unit for the KATRIN main spectrometer,”
*Journal of Instrumentation*, vol. 7, no. 6, Article ID T06002, 2012. View at Publisher · View at Google Scholar - J.-P. Schall,
*Untersuchungen zu Untergrundprozessen am Mainzer Neutrinomassenexperiment [Ph.D. thesis]*, Mainz University, 2001. - B. Müller,
*Umbau des Mainzer Neutrinomassenexperiments und Untergrunduntersuchungen im Hinblick auf KATRIN [Ph.D. thesis]*, Mainz University, 2002. - B. Flatt,
*Voruntersuchungen zu den Spektrometern des KATRIN-Experiments [Ph.D. thesis]*, Mainz University, 2005. - K. Valerius, “Electromagnetic design and inner electrode for the KATRIN main spectrometer,”
*Progress in Particle and Nuclear Physics*, vol. 57, no. 1, pp. 58–60, 2006. View at Publisher · View at Google Scholar - K. Valerius, “The wire electrode system for the KATRIN main spectrometer,”
*Progress in Particle and Nuclear Physics*, vol. 64, no. 2, pp. 291–293, 2010. View at Publisher · View at Google Scholar - M. Prall et al., “The wire electrode system for the KATRIN main spectrometer,” to be published.
- E. W. Otten, J. Bonn, and Ch. Weinheimer, “The Q-value of tritium
*β*-decay and the neutrino mass,”*International Journal of Mass Spectrometry*, vol. 251, no. 2-3, pp. 173–178, 2006. View at Publisher · View at Google Scholar - J. Kašpar, M. Ryšavý, A. Špalek, and O. Dragoun, “Effect of energy scale imperfections on results of neutrino mass measurements from
*β*-decay,”*Nuclear Instruments and Methods in Physics Research A*, vol. 527, no. 3, pp. 423–431, 2004. View at Publisher · View at Google Scholar - Th. Thümmler, R. Marx, and Ch. Weinheimer, “Precision high voltage divider for the KATRIN experiment,”
*New Journal of Physics*, vol. 11, Article ID 103007, 2009. View at Publisher · View at Google Scholar - D. Vénos, M. Zbořil, J. Kašpar et al., “The development of a super-stable datum point for monitoring the energy scale of electron spectrometers in the energy range up to 20 keV,”
*Measurement Techniques*, vol. 53, no. 3, pp. 305–312, 2010. View at Publisher · View at Google Scholar - M. Zbořil,
*Solid electron sources for the energy scale monitoring in the KATRIN experiment [Ph.D. thesis]*, University of Münster, 2011. - D. Vénos, A. Spalek, O. Lebeda, and M. Fiser, “Kr-83m radioactive source based on Rb-83 trapped in cation-exchange paper or in zeolite,”
*Applied Radiation and Isotopes*, vol. 63, p. 323, 2005. View at Google Scholar - M. Rasulbaev, K. Maier, R. Vianden, T. Thümmler, B. Ostrick, and Ch. Weinheimer, “Production of
^{83}Rb for the KATRIN experiment,”*Applied Radiation and Isotopes*, vol. 66, no. 12, pp. 1838–1843, 2008. View at Publisher · View at Google Scholar - D. Vénos, O. Dragoun, A. Špalek, and M. Vobecký, “Precise energy of the weak 32-keV gamma transition observed in
^{83m}Kr decay,”*Nuclear Instruments and Methods in Physics Research A*, vol. 560, no. 2, pp. 352–359, 2006. View at Publisher · View at Google Scholar - R. Marx, “New concept of PTBs standard divider for direct voltages of up to 100 kV,”
*IEEE Transactions on Instrumentation and Measurement*, vol. 50, no. 2, pp. 426–429, 2001. View at Publisher · View at Google Scholar - A. Krieger, C. Geppert, R. Catherall et al., “Calibration of the ISOLDE acceleration voltage using a high-precision voltage divider and applying collinear fast beam laser spectroscopy,”
*Nuclear Instruments and Methods in Physics Research A*, vol. 632, no. 1, pp. 23–31, 2011. View at Publisher · View at Google Scholar - B. A. Vandevender, L. I. Bodine, A. W. Myers et al., “Performance of a TiN-coated monolithic silicon pin-diode array under mechanical stress,”
*Nuclear Instruments and Methods in Physics Research A*, vol. 673, pp. 46–50, 2012. View at Publisher · View at Google Scholar - J. Abraham, P. Abreu, M. Aglietta et al., “The fluorescence detector of the Pierre Auger Observatory,”
*Nuclear Instruments and Methods in Physics Research A*, vol. 620, no. 2-3, pp. 227–251, 2010. View at Publisher · View at Google Scholar - M. Howe and J. Wilkerson, ORCA webpage at UNC.
- H. J. de Vega, O. Moreno, E. Moya de Guerra et al., “Search of keV sterile neutrino warm dark matter in the rhenium and tritium beta decays,”
*Nuclear Physics B*, vol. 866, no. 2, p. 177, 2013. View at Google Scholar - M. Zacher,
*Design of the high-field region of the KATRIN spectrometers and a pulsed angularselective UV laser photoelectron source for investigating their transmission functions [Ph.D. thesis]*, University of Münster, 2012. - S. Mertens, “Electromagnetic design of the spectrometer section of the KATRIN experiment,”
*Progress in Particle and Nuclear Physics*, vol. 64, no. 2, pp. 294–296, 2010. View at Google Scholar - M. Beck, K. Valerius, J. Bonn et al., “Effect of a sweeping conductive wire on electrons stored in a Penning-like trap between the KATRIN spectrometers,”
*European Physical Journal A*, vol. 44, p. 499, 2010. View at Google Scholar - B. Hillen,
*Untersuchung von Methoden zur Unterdrückung des Spektrometeruntergrunds beim KATRIN Experiment [Ph.D. thesis]*, University of Münster, 2011. - F. M. Fränkle, L. Bornschein, G. Drexlin et al., “Radon induced background processes in the KATRIN pre-spectrometer,”
*Astroparticle Physics*, vol. 35, pp. 128–134, 2011. View at Google Scholar - S. Mertens, G. Drexlin, F. M. Fränkle et al., “Background due to stored electrons following nuclear decays in the KATRIN spectrometers and its impact on the neutrino mass sensitivity,”
*Astroparticle Physics*, vol. 41, pp. 52–62, 2013. View at Google Scholar - S. Mertens, A. Beglarian, L. Bornschein et al., “Stochastic heating by ECR as a novelmeans of background reduction in the KATRIN spectrometers,”
*Journal of Instrumentation*, vol. 7, Article ID P08025, 2012. View at Publisher · View at Google Scholar - M. Jerkins, J. R. Klein, J. H. Majors et al., “Using cold atoms to measure neutrino mass,”
*New Journal of Physics*, vol. 12, Article ID 043022, 2010. View at Google Scholar - E. W. Otten, “Comment on “Using cold atoms to measure neutrino mass”,”
*New Journal of Physics*, vol. 13, Article ID 078001, 2011. View at Google Scholar - B. Monreal and J. Formaggio, “Relativistic cyclotron radiation detection of tritium decay electrons as a new technique for measuring the neutrino mass,”
*Physical Review D*, vol. 80, Article ID 051301, 2009. View at Google Scholar - J. Formaggio, “Project 8: using radio-frequency techniques to measure neutrino mass,” http://arxiv.org/abs/1101.6077.
- A. Nucciotti, “The MARE project,”
*Journal of Low Temperature Physics*, vol. 151, pp. 597–602, 2008. View at Google Scholar - M. Galeazzi, F. Gatti, M. Lusignoli et al., “The electron capture decay of
^{163}Ho to measure the electron neutrino mass with sub-eV accuracy,” http://arxiv.org/abs/1202.4763. - E. Ferri, “MARE-1 in Milan: status and perspectives,”
*Journal of Low Temperature Physics*, vol. 167, p. 1035, 2012. View at Google Scholar - P. C.-O. Ranitzsch, J.-P. Porst, S. Kempf et al., “Development of metallic magnetic calorimeters for high precision measurements of calorimetric
^{187}Re and^{163}Ho spectra,”*Journal of Low Temperature Physics*, vol. 167, pp. 1004–1014, 2012. View at Google Scholar - S. Kraft-Bermuth, C. Arnaboldi, E. Ferri et al., “Development and characterization of microcalorimeters for a next generation
^{187}Re beta-decay experiment,”*Journal of Low Temperature Physics*, vol. 151, pp. 619–622, 2008. View at Google Scholar - A. Nucciotti for the MARE collaboration, The MARE experiment and its capabilities to measure the mass of light (active) and heavy (sterile) neutrinos, presentation at the Workshop CIAS Meudon, 2011.
- M. Faverzani, P. Day, A. Nucciotti, and E. Ferri, “Developments of microresonators detectors for neutrino physics in milan,”
*Journal of Low Temperature Physics*, vol. 167, p. 1041, 2012. View at Google Scholar - R. Vaccarone, F. Strata, F. Gatti et al., “The design of a frequency multiplexed Ir-Au TES array,”
*Journal of Low Temperature Physics*, vol. 151, no. 3-4, pp. 921–926, 2008. View at Publisher · View at Google Scholar - L. Gastaldo, J. P. Porst, F. Von Seggern et al., “Low temperature magnetic calorimeters for neutrino mass direct measurement,” in
*Proceedings of the 13th International Workshop on Low Temperature Detectors (LTD-13 '09)*, vol. 1185, pp. 607–611, Stanford, Calif, USA, July 2009. View at Publisher · View at Google Scholar - C. Pies, S. Schäfer, S. Heuser et al., “MaXs: microcalorimeter arrays for high-resolution x-ray spectroscopy at GSI/FAIR,”
*Journal of Low Temperature Physics*, vol. 167, no. 3-4, pp. 269–279, 2012. View at Publisher · View at Google Scholar - M. Lusignoli and M. Vignati, “Relic antineutrino capture on
^{163}Ho decaying nuclei,”*Physics Letters B*, vol. 697, no. 1, pp. 11–14, 2011. View at Publisher · View at Google Scholar - C. L. Bennett, A. L. Hallin, R. A. Naumann et al., “The X-ray spectrum following
^{163}Ho M electron capture,”*Physics Letters B*, vol. 107, no. 1-2, pp. 19–22, 1981. View at Google Scholar - H. L. Ravn, “The N/M electron-capture ratio of the neutrino-mass probe
^{163}Ho, in massive neutrinos in astrophysics and in particle physics,” in*Proceedings of the Fourth Moriond Workshop*, pp. 287–294, La Plagne-Savoie, France, 1984. - F. X. Hartmann and R. A. Naumann, “High temperature gas proportional detector techniques and application to the neutrino mass limit using
^{163}Ho,”*Nuclear Instruments and Methods in Physics Research A*, vol. 313, no. 1-2, pp. 237–260, 1992. View at Google Scholar - F. Gatti, P. Meunier, C. Salvo, and S. Vitale, “Calorimetric measurement of the
^{163}Ho spectrum by means of a cryogenic detector,”*Physics Letters B*, vol. 398, no. 3-4, pp. 415–419, 1997. View at Google Scholar - A. Burck, S. Kempf, S. Schäfer et al., “Microstructured magnetic calorimeter with Meander-shaped pickup coil,”
*Journal of Low Temperature Physics*, vol. 151, no. 1-2, pp. 337–344, 2008. View at Publisher · View at Google Scholar - L. Gastaldo et al., “
^{163}-Ho electron capture decay: high precision measurement of the calorimetric spectrum,” in*Proceedings of the Spring Meeting of the DPG in Karlsruhe*, 2011. - G. Audi, A. H. Wapstra, and C. Thibault, “The Ame2003 atomic mass evaluation—(II). Tables, graphs and references,”
*Nuclear Physics A*, vol. 729, no. 1, pp. 337–676, 2003. View at Publisher · View at Google Scholar