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Neutrinoless double beta-decay

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Abstract

The neutrinoless double β-decay of nuclei is reviewed. We discuss neutrino mixing and 3 × 3 PMNS neutrino mixing matrix. Basic theory of neutrinoless double β-decay is presented in some details. Results of different calculations of nuclear matrix element are discussed. Experimental situation is considered. The Appendix is dedicated to E. Majorana (brief biography and his paper in which the theory of Majorana particles is given)

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References

  1. H. V. Klapdor-Kleingrothaus et al., Phys. Lett. B 586, 198 (2004); H. V. Klapdor-Kleingrothaus and I. V. Krivosheina, Mod. Phys. Lett. 21, 1547 (2006).

    Article  ADS  Google Scholar 

  2. C. E. Aalseth et al. (IGEX Collab.), Phys. Rev. D 65, 092007 (2002), arXiv:hep-ex/0202026.

    Article  ADS  Google Scholar 

  3. C. Arnaboldi et al. (CUORICINO Collab.), Phys. Rev. C 78, 035502 (2008), arXiv:0802.3439.

    Article  ADS  Google Scholar 

  4. M. Doi, T. Kotani, and E. Takasugi, Progr. Theor. Phys. Suppl. 83, 1 (1985).

    Article  ADS  Google Scholar 

  5. S. M. Bilenky and S. T. Petcov, Rev. Mod. Phys. 59, 671 (1987).

    Article  ADS  Google Scholar 

  6. J. D. Vergados, Phys. Rep. 361, 1 (2002).

    Article  ADS  Google Scholar 

  7. S. R. Elliott, and P. Vogel, Ann. Rev. Nucl. Part. Sci. 52, 11 (2002).

    Article  Google Scholar 

  8. F. T. Avignone III, S. R. Elliott, and J. Engel, Rev. Mod. Phys. 80, 481 (2008), arXiv:0708.1033.

    Article  ADS  Google Scholar 

  9. P. Vogel and A. Piepke, “Review of Particle Physics,” Phys. Lett. B 667, 525–526 (2008).

    Google Scholar 

  10. P. Vogel, arXiv:0807.2457.

  11. N. Cabibbo, Phys. Rev. Lett. 10, 531 (1963).

    Article  ADS  Google Scholar 

  12. M. Kobayashi and T. Maskawa, Prog. Theor. Phys. 49, 652 (1973).

    Article  ADS  Google Scholar 

  13. B. Pontecorvo, Zh. Eksp. Teor. Fiz. 33, 549 (1957) [Sov. Phys. JETP 6, 429 (1958)]; Zh. Eksp. Teor. Fiz. 34, 247 (1958) [Sov. Phys. JETP 7, 172 (1958)].

    Google Scholar 

  14. Z. Maki, M. Nakagava, and S. Sakata, Prog. Theor. Phys. 28, 870 (1962).

    Article  MATH  ADS  Google Scholar 

  15. S. M. Bilenky, J. Hósek, and S. T. Petcov, Phys. Lett. B 94, 495 (1980).

    Article  ADS  Google Scholar 

  16. M. Doi et al., Phys. Lett. B 102, 323 (1981).

    Article  ADS  Google Scholar 

  17. S. M. Bilenky and S. T. Petcov, Rev. Mod. Phys. 59, 671 (1987).

    Article  ADS  Google Scholar 

  18. S. M. Bilenky, C. Giunti, and W. Grimus, Prog. Part. Nucl. Phys. 43, 1 (1999); hep-ph/9812360.

    Article  ADS  Google Scholar 

  19. W. M. Alberico and S. M. Bilenky, Fiz. Elem. Chastits At. Yadra 35, 545 (2004) [Phys. Part. Nucl. 35, 297 (2004)]; hep-ph/0306239.

    Google Scholar 

  20. S. L. Glashow, Nucl. Phys. 22, 597 (1961).

    Google Scholar 

  21. S. Weinberg, Phys. Rev. Lett. 19, 1264 (1967).

    Article  ADS  Google Scholar 

  22. A. Salam, in Proc. of the 8th Nobel Symp. on Elementary Particle Theory, Relativistic Groups and Analyticity, Ed. by N. Svartholm (1969).

  23. N. Araki-Hamed, S. Dimopoulos, and G. Dvali, Phys. Rev. B D59, 086004 (1999).

    ADS  Google Scholar 

  24. S. M. Bilenky and B. Pontecorvo, Lett. Nuovo Cim. 17, 569 (1976); Phys. Rep. 41, 225 (1978).

    Article  Google Scholar 

  25. J. Schechter and J. W. F. Valle, Phys. Rev. D 22, 2227 (1980).

    Article  ADS  Google Scholar 

  26. V. Gribov and B. Pontecorvo, Phys. Lett. B 28, 493 (1969).

    Article  ADS  Google Scholar 

  27. C. Ryan and S. Okubo, Nuovo Cimento Suppl. 2, 234 (1964); K. M. Case, Phys. Rev. 107, 307 (1957).

    MathSciNet  Google Scholar 

  28. A. Aguilar et al. (LSND Collab.), Phys. Rev. D 64, 112007 (2001), arXiv:hep-ex/0104049.

    Article  ADS  Google Scholar 

  29. A. A. Aguilar-Arevalo et al. (MiniBooNE Collab.), Phys. Rev. Lett. 98, 231801 (2007), arXiv:0704.1500; Phys. Rev. Lett. 103, 111801 (2009), arXiv:0904.1958.

    Article  ADS  Google Scholar 

  30. P. Minkovski, Phys. Lett. B 67, 421 (1977); M. Gell-Mann, P. Ramond, and R. Slansky, in Supergravity, Ed. by F. van Nieuwenhuizen and D. Freedman (North Holland, Amsterdam, 1979), p. 315; T. Yanagida, in Proc. of the Workshop on Unified Theory and the Baryon Number of the Universe, (KEK, Japan, 1979); R. N. Mohapatra and G. Senjanovic, Phys. Rev. Lett. 44, 912 (1980).

    Article  ADS  Google Scholar 

  31. W. Buchmuller, R. D. Peccei, and T. Yanagida, Ann. Rev. Nucl. Part. Sci. 55, 311 (2005).

    Article  ADS  Google Scholar 

  32. L. Wolfenstein, Phys. Lett. B 107, 77 (1981).

    Article  ADS  Google Scholar 

  33. S. M. Bilenky, N. P. Nedelcheva, and S. T. Petcov, Nucl. Phys. B 247, 61 (1984).

    Article  ADS  Google Scholar 

  34. B. Kayser, Phys. Rev. D 30, 1023 (1984).

    Article  ADS  Google Scholar 

  35. Y. Ashie et al. (Super-Kamiokande Collab.), Phys. Rev. D 71, 112005 (2005), hep-ex/0501064v2.

    Article  ADS  Google Scholar 

  36. M. H. Alm et al. (K2K Collab.), Phys. Rev. Lett. 90, 041801 (2003).

    Article  ADS  Google Scholar 

  37. P. Adamson et al. (MINOS Collab.), Phys. Rev. Lett. 101, 131802 (2008); arXiv:0806.2237.

    Article  ADS  Google Scholar 

  38. T. Araki et al. (KamLAND Collab.), Phys. Rev. Lett. 94, 081801 (2005); S. Abe et al., Phys. Rev. Lett. 100, 221803 (2008), arXiv:0801.4589

    Article  ADS  Google Scholar 

  39. M. Apollonio et al. (CHOOZ Collab.), Eur. Phys. J. C 27, 331 (2003); arXiv: hep-ex/0301017.

    Article  ADS  Google Scholar 

  40. F. Ardellier et al. (DOUBLE CHOOZ Collab.), arXiv: hep-ex/0606025.

  41. Guo Xinheng et al. (Daya Bay Collab.), arXiv: hep-ex/0701029.

  42. Kim Song-Bong et al. (Reno Collab.), J. Phys.: Conf. Ser. 120, 052025 (2008).

    Article  ADS  Google Scholar 

  43. N. C. Hastings (T2K Collab.), arXiv:0905.1211 (2009).

  44. A. Hershcovitch et al., arXiv:0707.1685 (2007).

  45. M. Benedikt, Nucl. Phys. Proc. Suppl. 149, 54 (2005).

    Article  ADS  Google Scholar 

  46. K. Long, Nucl. Phys. Proc. Suppl. 188, 194 (2009).

    Article  ADS  Google Scholar 

  47. F. Simkovic, G. Pantis, J. D. Vergados, and A. Faessler, Phys. Rev. C 60, 055502 (1999).

    Article  ADS  Google Scholar 

  48. V. A. Rodin, A. Faessler, F. Simkovic, and P. Vogel, Phys. Rev. C 68, 044302 (2003), nucl-th/0305005

    Article  ADS  Google Scholar 

  49. Ch. Kraus, B. Bornschein, et al., Eur. Phys. J. C 40, 447 (2005), arXiv:hep-ex/0412056v2

    Article  ADS  Google Scholar 

  50. V. M. Lobashov et al., Phys. Lett. B 460, 044302 (1999).

    Google Scholar 

  51. A. Osopowicz et al. (KATRIN Collab.), hep-ex/0109033; R. G. H. Robertson (KATRIN Collab.), J. Phys.: Conf. Ser. 120, 052028 (2008), arXiv:0712.3893.

  52. J. Kaulard et al., Phys. Lett. B 422, 334 (1998).

    Article  ADS  Google Scholar 

  53. B. Appel et al., Phys. Rev. Lett. 85, 2877 (2000).

    Article  ADS  Google Scholar 

  54. F. Courier et al., Rev. Mod. Phys. 77, 427 (2005).

    Article  ADS  Google Scholar 

  55. E. Caurier, G. Martinez-Pinedo, F. Nowacki, A. Poves, and A. P. Zuker, Rev. Mod. Phys. 77, 427 (2005), nucl-th/0402046

    Article  ADS  Google Scholar 

  56. A. Faessler and F. Simkovic, J. Phys. G 24, 2139 (1998).

    Article  ADS  Google Scholar 

  57. J. Suhonen and O. Civitarese, Phys. Rep. 300, 123 (1998).

    Article  ADS  Google Scholar 

  58. E. Caurier, F. Nowacki, and A. Poves, Eur. Phys. J. A 36, 195 (2008), arXiv:0709.0277.

    Article  ADS  Google Scholar 

  59. J. Menendez, A. Poves, E. Caurier, and F. Nowacki, Nucl. Phys. A 818, 139 (2009), arXiv:0801.3760.

    Article  ADS  Google Scholar 

  60. G. A. Miller and J. E. Spencer, Ann. Phys. 100, 562 (1976).

    Article  ADS  Google Scholar 

  61. H. Feldmeier, T. Neff, R. Roth, and J. Schnack, Nucl. Phys. A 632, 61 (1998); T. Neff and H. Feldmeier, Nucl. Phys. A 713, 311 (2003); R. Roth, T. Neff, H. Hergert, and H. Feldmeier, Nucl. Phys. A 745, 3 (2004).

    Article  ADS  Google Scholar 

  62. V. A. Rodin, A. Faessler, F. Simkovic, and P. P. Vogel, Phys. Rev. C 68, 044302 (2003).

    Article  ADS  Google Scholar 

  63. V. A. Rodin, A. Faessler, F. Simkovic, and P. P. Vogel, Nucl. Phys. A 766, 107 (2006); Nucl. Phys. A 793, 213(E) (2007)

    Article  ADS  Google Scholar 

  64. F. Simkovic, A. Faessler, H. Müther, and V. Rodin, Phys. Rev. C 79, 055501 (2009), arXiv:0902.0331.

    Article  ADS  Google Scholar 

  65. O. Civitarese and J. Suhonen, J. Phys.: Conf. Ser. 173, 012012 (2009).

    Article  ADS  Google Scholar 

  66. M. Kortelainen, O. Civitarese, J. Suhonen, and J. Toivanen, Phys. Lett. B 647, 128 (2007).

    Article  ADS  Google Scholar 

  67. M. Kortelainen and J. Suhonen, Phys. Rev. C 75, 051303(R) (2007).

    Article  ADS  Google Scholar 

  68. M. Kortelainen and J. Suhonen, Phys. Rev. C 76, 024315 (2007).

    Article  ADS  Google Scholar 

  69. C. Giusti, H. Müther, F. D. Pacati, and M. Stauf, Phys. Rev. C 60, 054608 (1999).

    Article  ADS  Google Scholar 

  70. S. M. Bilenky and J. A. Grifols, Phys. Lett. B 550, 154 (2002); S. M. Bilenky and S. T. Petcov, hep-ph/0405237; G. I. Fogli, E. Lisi, and A. M. Rotunno, Phys. Rev. D 80, 015024 (2009).

    Article  ADS  Google Scholar 

  71. J. Argyriades et al. (NEMO Collab.), Phys. Rev. C 80, 032501 (2009), arXiv:0810.0248; R. Arnold et al. (NEMO Collab.), Nucl. Phys. A 765, 483 (2006), arXiv:hep-ex/0601021.

    Article  ADS  Google Scholar 

  72. D. Budjas et al. (GERDA Collab.), JINST 4, P10007 (2009), arXiv:0909.4044; Karl-Tasso Knoepfle (GERDA Collab.), in Proc. of the ICHEP08, Philadelphia, USA, July 2008, arXiv:0809.5207 (2008).

    ADS  Google Scholar 

  73. H. V. Klapdor-Kleingrothaus et al., Mod. Phys. Lett. A 16, 2409 (2001); Phys. Lett. B 586, 198 (2004); H. V. Klapdor-Kleingrothaus and I. V. Krivosheina, Mod. Phys. Lett. A 21, 1547 (2006).

    Article  ADS  Google Scholar 

  74. A. Staudt, K. Muto, and H. V. Klapdor-Kleingrothaus, Europhys. Lett. 13, 31 (1990).

    Article  ADS  Google Scholar 

  75. C. Amsler et al., (Particle Data Group), Phys. Lett. B 667, 1 (2008).

    Article  ADS  Google Scholar 

  76. S. R. Elliott et al. (MAJORANA Collab.), J. Phys. Conf. Ser. 173, 012007 (2009), arXiv:0807.1741; C. E. Aalseth et al. (MAJORANA Collab.), arXiv:0910.4598.

    Article  ADS  Google Scholar 

  77. L. M. Ejzak et al. (CUORE Collab.), in Proc. of the DPF-2009, Detroit, MI, July 27–31, 2009, arXiv:0910.2994; R. Ardito et al. (CUORE Collab.), arXiv:hep-ex/0501010.

  78. N. Ackerman et al. (EXO Collab.), in Proc. of the DPF-2009, Detroit, MI, July 27–31, 2009, arXiv:0909.1826; D. Akimov et al. (EXO Collab.), Nucl. Phys. Proc. Suppl. 138, 224 (2005).

  79. A. S. Barabash et al. (NEMO Collab.) Phys. At. Nucl. 67, 1984 (2004).

    Article  Google Scholar 

  80. H. Ejiri et al., Nucl. Phys. Proc. Suppl. 110, 375 (2002); H. Ejiri, J. Engel, and N. Kudomi, Phys. Lett. B 530, 27 (2002), arXiv:astro-ph/0112379.

    Google Scholar 

  81. M. Chen et al., Nucl. Phys. Proc. Suppl. 145, 65 (2005)

    Article  ADS  Google Scholar 

  82. T. Bloxham et al. (COBRA Collab.), Phys. Rev. C 76, 025501 (2007), arXiv:0707.2756.

    Article  ADS  Google Scholar 

  83. S. Umehara et al., J. Phys. Conf. Ser. 39, 356 (2006).

    Article  ADS  Google Scholar 

  84. N. Ishihara et al., Nucl. Instrum. Methods Phys. Res. A 443, 101 (2000).

    Article  ADS  Google Scholar 

  85. G. Bellini et al., Eur. Phys. J. C 19, 43 (2001).

    Article  ADS  Google Scholar 

  86. Y. Takeuchi et al., in Proc. of the 32nd Intern. Conf. on High Energy Phys. ICHEP 04, Aug. 16–22, 2004, Beijing, China.

  87. R. N. Mohapatra, Phys. Rev. D 34, 3457 (1986); M. Hirsch, H. V. Klapdor-Kleingrothaus, and S. G. Kovalenko, Phys. Lett. B 403, 291 (1997); A. Faessler, S. Kovalenko, and F. Simkovic, Phys. Rev. D 58, 055004 (1998); R. N. Mohapatra, Nucl. Phys. Proc. Suppl. 77, 376 (1999); G. Prezeau, M. Ramsey-Musolf, and P. Vogel, Phys. Rev. D 68, 034016 (2003).

    Article  ADS  Google Scholar 

  88. E. Amaldi, in Ettore Majorana; Scientific Papers, Ed. by G. F. Bassani (Springer, New York, 2006).

    Google Scholar 

  89. B. Pontecorvo, J. Phys. Colloques 43, C8–221 (1982).

    Article  Google Scholar 

  90. E. Majorana, Nuovo Cimento 5, 171 (1937).

    Google Scholar 

  91. G. Racah, Nuovo Cimento 14, 322 (1937).

    Article  Google Scholar 

  92. W. Furry, Phys. Rev. 56, 1184 (1938).

    Article  ADS  Google Scholar 

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Bilenky, S.M. Neutrinoless double beta-decay. Phys. Part. Nuclei 41, 690–715 (2010). https://doi.org/10.1134/S1063779610050035

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