Neutrinoless double beta decay: 2015 review

Advances in High Energy Physics

Volumn 2016, Issue , 2016, Pages

  Dell'Oro, Stefano ^a   Marcocci, Simone ^a   Viel, Matteo ^b,c   Vissani, Francesco ^a,d  

^a INFN SEZIONE DI ROMA   (Italy)

^b INAF OSSERVATORIO ASTRONOMICO DI TRIESTE   (Italy)

^c SEZIONE DI TRIESTE   (Italy)

^d LABORATORI NAZIONALI DEL GRAN SASSO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

'CURRENT; CONTEXTUALIZE; LEPTON NUMBER; NEUTRINO MASS; NEUTRINOLESS DOUBLE-BETA DECAYS; STATE OF THE ART;

NEUTRONS;

EID: 84969776647     PISSN: 16877357     EISSN: 16877365     Source Type: Journal    
DOI: 10.1155/2016/2162659     Document Type: Review

References (214)

1. P. A. M. Dirac, "The quantum theory of electron, " Proceedings of theRoyal Society of LondonA, vol. 117, no. 778, pp. 610-624, 1928.
2. P. A. M. Dirac, "The quantum theory of the electron. Part II, " Proceedings of the Royal Society of London Series A: Mathematical and Physical Sciences, vol. 118, no. 779, pp. 351-361, 1928.
3. E. Majorana, "Theory of the symmetry of electrons and positrons, " Il Nuovo Cimento, vol. 14, pp. 171-184, 1937.
4. G. Racah, "On the symmetry of particle and antiparticle, " Il Nuovo Cimento, vol. 14, pp. 322-328, 1937.
5. W. H. Furry, "On transition probabilities in double beta-disintegration, " Physical Review, vol. 56, no. 12, pp. 1184-1193, 1939.
6. M. Goeppert-Mayer, "Double beta-disintegration, " Physical Review, vol. 48, no. 6, pp. 512-516, 1935.
7. G. Feinberg and M. Goldhaber, "Microscopic tests of symmetry principles, " Proceedings of the National Academy of Sciences of the United States of America, vol. 45, no. 8, pp. 1301-1312, 1959.
8. B. Pontecorvo, "Superweak interactions and double beta decay, " Physics Letters B, vol. 26, no. 10, pp. 630-632, 1968.
9. S. L. Glashow, "Partial-symmetries of weak interactions, " Nuclear Physics, vol. 22, no. 4, pp. 579-588, 1961.
10. S. Weinberg, "A model of leptons, " Physical Review Letters, vol. 19, no. 21, pp. 1264-1266, 1967.
11. A. Salam, "Weak and electromagnetic interactions, " in Proceedings of the C68-05-19, pp. 367-377, Lerum, Sweden, May 1968.
12. S. Weinberg, "Baryon-and lepton-nonconserving processes, " Physical Review Letters, vol. 43, no. 21, pp. 1566-1570, 1979.
13. P. Minkowski, " μ →γβat a rate of one out of 109 muon decays?" Physics Letters B, vol. 67, no. 4, pp. 421-428, 1977.
14. T. Yanagida, "Horizontal symmetry and masses of neutrinos, " in Proceedings of the Workshop on the Baryon Number of the Universe and UnifiedTheories, C79-02-13. 1, pp. 95-99, Tsukuba, Japan, February 1979.
15. M. Gell-Mann, P. Ramond, and R. Slansky, "Complex spinors and unified theories, " Conference Proceedings C79-09-27, pp. 315-321, 1979, https://arxiv. org/abs/1306. 4669.
16. R. N. Mohapatra and G. Senjanovi, "Neutrino mass and spontaneous parity nonconservation, " Physical Review Letters, vol. 44, no. 14, pp. 912-915, 1980.
17. B. Pontecorvo, "Mesonium and anti-mesonium, " Soviet Physics-JETP, vol. 6, p. 429, 1957, Zhurnal Eksperimentalnoi i Teoreticheskoi Fizik, vol. 33, pp. 549-551, 1957.
18. A. Strumia and F. Vissani, "Neutrinomasses and mixings and. . . , " http://arxiv.org/abs/hep-ph/0606054.
19. M. C. Gonzalez-Garcia and Y. Nir, "Neutrino masses and mixing: evidence and implications, " Reviews ofModern Physics, vol. 75, no. 2, pp. 345-402, 2003.
20. S. M. Bilenky, J. Hosek, and S. Petcov, "On oscillations of neutrinos with Dirac and Majorana masses, " Physics Letters B, vol. 94, no. 4, pp. 495-498, 1980.
21. S. R. Elliott, "Recent progress in double beta decay, " Modern Physics Letters A, vol. 27, no. 07, Article ID 1230009, 2012.
22. A. Giuliani and A. Poves, "Neutrinoless double-beta decay, " Advances in High Energy Physics, vol. 2012, Article ID 857016, 38 pages, 2012.
23. J. J. Gmez-Cadenas, J. Marti-Albo, M. Mezzetto, F. Monrabal, and M. Sorel, "The search for neutrinoless double beta decay, " Rivista del Nuovo Cimento, vol. 35, no. 2, pp. 29-98, 2012.
24. B. Schwingenheuer, "Status and prospects of searches for neutrinoless double beta decay, " Annalen der Physik, vol. 525, no. 4, pp. 269-280, 2013.
25. O. Cremonesi and M. Pavan, "Challenges in double beta decay, " Advances inHigh Energy Physics, vol. 2014, Article ID951432, 40 pages, 2014.
26. J. D. Vergados, H. Ejiri, and F. Simkovic, "Theory of neutrinoless double-beta decay, "Reports onProgress inPhysics, vol. 75, no. 10, Article ID 106301, 2012.
27. P. Vogel, "Nuclear structure and double beta decay, " Journal of Physics G: Nuclear and Particle Physics, vol. 39, no. 12, Article ID 124002, 2012.
28. S. T. Petcov, "Thenature of massive neutrinos, " Advances inHigh Energy Physics, vol. 2013, Article ID 852987, 20 pages, 2013.
29. S. M. Bilenky and C. Giunti, "Neutrinoless double-beta decay: a probe of physics beyond the standard model, " International Journal of Modern Physics A, vol. 30, Article ID 1530001, 2015.
30. W. Rodejohann, "Neutrino-less double beta decay and particle physics, " International Journal of Modern Physics E, vol. 20, no. 9, pp. 1833-1930, 2011.
31. W. Rodejohann, "Neutrinoless double-beta decay and neutrino physics, " Journal of Physics G: Nuclear and Particle Physics, vol. 39, no. 12, Article ID 124008, 2012.
32. F. F. Deppisch, M. Hirsch, and H. Ps, "Neutrinoless doublebeta decay and physics beyond the standard model, " Journal of Physics G: Nuclear and Particle Physics, vol. 39, no. 12, Article ID 124007, 2012.
33. H. Ps and W. Rodejohann, "Neutrinoless double beta decay, " New Journal of Physics, vol. 17, no. 11, Article ID 115010, 2015.
34. P. A. R. Ade, N. Aghanim, M. Arnaud et al. , "Planck 2015 results. XIII. Cosmological parameters, " http://arxiv. org/abs/1502. 01589.
35. F. Capozzi, G. L. Fogli, E. Lisi, A. Marrone, D. Montanino, and A. Palazzo, "Status of three-neutrino oscillation parameters, circa 2013, " Physical Review D, vol. 89, no. 9, Article ID093018, 2014.
36. E. Fermi, "Attempt at a theory of the emission of beta rays, " Rice Science, vol. 4, pp. 491-495, 1933 (Italian).
37. T. D. Lee and C. N. Yang, "Question of parity conservation in weak interactions, " Physical Review, vol. 104, no. 1, pp. 254-258, 1956.
38. C. S. Wu, E. Ambler, R. W. Hayward, D. D. Hoppes, and R. P. Hudson, "Experimental test of parity conservation in beta decay, " Physical Review, vol. 105, no. 4, pp. 1413-1415, 1957.
39. L. D. Landau, "On the conservation laws for weak interactions, " Nuclear Physics, vol. 3, pp. 127-131, 1957.
40. T. D. Lee and C. N. Yang, "Parity nonconservation and a twocomponent theory of the neutrino, " Physical Review, vol. 105, pp. 1671-1675, 1957.
41. A. Salam, "On parity conservation and neutrino mass, " Il Nuovo Cimento, vol. 5, no. 1, pp. 299-301, 1957.
42. H. Weyl, "Elektron und Gravitation. I, " Zeitschrift fur Physik, vol. 56, no. 5-6, pp. 330-352, 1929 (German).
43. N. Palanque-Delabrouille, C. Yeche, J. Baur et al. , "Neutrino masses and cosmology with Lyman-alpha forest power spectrum, " Journal of Cosmology and Astroparticle Physics, vol. 2015, no. 11, article 011, 2015.
44. E. Di Valentino, E. Giusarma, O. Mena, A. Melchiorri, and J. Silk, "Cosmological limits on neutrino unknowns versus low redshift priors, " http://arxiv. org/abs/1511. 00975.
45. X. Zhang, "Impacts of dark energy on weighing neutrinos after Planck 2015, " http://arxiv. org/abs/1511. 02651.
46. A. J. Cuesta, V. Niro, and L. Verde, "Neutrino mass limits: robust information fromthe power spectrumof galaxy surveys, " http://arxiv. org/abs/1511. 05983.
47. H. Georgi and S. L. Glashow, "Unity of all elementary-particle forces, " Physical Review Letters, vol. 32, no. 8, pp. 438-441, 1974.
48. H. Georgi, "Unified gauge theories, " in Proceedings of the Theories and Experiments in High-Energy Physics, pp. 329-339, Gables, Fla, USA, January 1975.
49. H. Fritzsch and P. Minkowski, "Unified interactions of leptons and hadrons, " Annals of Physics, vol. 93, no. 1-2, pp. 193-266, 1975.
50. G. Bellini, D. Bick, G. Bonfini et al. , "SOX: short distance neutrino oscillations with BoreXino, " Journal of High Energy Physics, vol. 2013, no. 8, article 038, 2013.
51. F. P. An, A. B. Balantekin, H. R. Band et al. , "Search for a light sterile neutrino at Daya Bay, " Physical Review Letters, vol. 113, no. 14, Article ID 141802, 2014.
52. J. Ashenfelter, B. Balantekin, H. R. Band et al. , "The PROSPECT physics program, " http://arxiv. org/abs/1512. 02202.
53. K. N. Abazajian, M. A. Acero, S. K. Agarwalla et al. , "Light sterile neutrinos: a white paper, " http://arxiv. org/abs/1204. 5379.
54. S. Gariazzo, C. Giunti, and M. Laveder, "Light sterile neutrinos in cosmology and short-baseline oscillation experiments, " Journal of High Energy Physics, vol. 2013, article 211, 2013.
55. A. D. Dolgov and F. L. Villante, "BBN bounds on active-sterile neutrino mixing, " Nuclear Physics B, vol. 679, no. 1-2, pp. 261-298, 2004.
56. M. Cirelli, G. Marandella, A. Strumia, and F. Vissani, "Probing oscillations into sterile neutrinos with cosmology, astrophysics and experiments, " Nuclear Physics B, vol. 708, no. 1-3, pp. 215-267, 2005.
57. J. Barry, W. Rodejohann, and H. Zhang, "Light sterile neutrinos: models and phenomenology, " Journal of High Energy Physics, vol. 2011, no. 7, article 091, 2011.
58. I. Girardi, A. Meroni, and S. T. Petcov, "Neutrinoless double beta decay in the presence of light sterile neutrinos, " Journal of High Energy Physics, vol. 2013, article 146, 2013.
59. 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 ID033001, 2016.
60. A. D. Sakharov, "Violation of CP invariance, c asymmetry, and baryon asymmetry of the universe, " Pisma v Zhurnal Eksperimentalnoi i Teoreticheskoi Fiziki, vol. 5, pp. 32-35, 1967.
61. G. t Hooft, "Symmetry breaking through Bell-Jackiw anomalies, " Physical Review Letters, vol. 37, no. 1, pp. 8-11, 1976.
62. V. A. Kuzmin, V. A. Rubakov, and M. E. Shaposhnikov, "On anomalous electroweak baryon-number non-conservation in the early universe, " Physics Letters B, vol. 155, no. 1-2, pp. 36-42, 1985.
63. J. A. Harvey and M. S. Turner, "Cosmological baryon and lepton number in the presence of electroweak fermion-number violation, " Physical Review D, vol. 42, no. 10, pp. 3344-3349, 1990.
64. A. I. Bochkarev and M. E. Shaposhnikov, "Electroweak production of baryon asymmetry and upper bounds on the higgs and top masses, " Modern Physics Letters A, vol. 2, no. 6, pp. 417-427, 1987.
65. K. Kajantie, M. Laine, K. Rummukainen, and M. Shaposhnikov, "The electroweak phase transition: a non-perturbative analysis, " Nuclear Physics B, vol. 466, no. 1-2, pp. 189-258, 1996.
66. M. Fukugita and T. Yanagida, "Barygenesis without grand unification, " Physics Letters B, vol. 174, no. 1, pp. 45-47, 1986.
67. M. Shaposhnikov, "Baryo/leptogenesis, " in Proceedings of the 16th Annual International Conference on Particle Physics and Cosmology (COSMO 12), Beijing, China, September 2012.
68. R. Saakyan, "Two-neutrino double-beta decay, " Annual Review of Nuclear and Particle Science, vol. 63, pp. 503-529, 2013.
69. S. Weinberg, "Universal neutrino degeneracy, " Physical Review, vol. 128, no. 3, pp. 1457-1473, 1962.
70. A. G. Cocco, G. Mangano, and M. Messina, "Probing lowenergy neutrino backgrounds with neutrino capture on beta decaying nuclei, " Journal of Cosmology and Astroparticle Physics, vol. 2007, no. 6, article 015, 2007.
71. A. J. Long, C. Lunardini, and E. Sabancilar, "Detecting nonrelativistic cosmic neutrinos by capture on tritium: phenomenology and physics potential, " Journal of Cosmology and Astroparticle Physics, vol. 2014, article 38, 2014.
72. E. Andreotti, C. Arnaboldi, F. T. Avignone et al. , " 130Te neutrinoless double-β decay with CUORICINO, " Astroparticle Physics, vol. 34, no. 11, pp. 822-831, 2011.
73. K. Alfonso, D. R. Artusa, F. T. Avignone III et al. , "Search for neutrinoless double-beta decay of 130Te with CUORE-0, " Physical Review Letters, vol. 115, Article ID 102502, 2015.
74. H. V. Klapdor-Kleingrothaus, A. Dietz, L. Baudis et al. , "Latest results from the Heidelberg-Moscow double beta decay experiment, " European Physical Journal A, vol. 12, no. 2, pp. 147-154, 2001.
75. C. E. Aalseth, F. T. Avignone, R. L. Brodzinski et al. , "Neutrinoless double-β decay of 76Ge: first results from the International Germanium Experiment (IGEX) with six isotopically enriched detectors, " Physical Review C, vol. 59, no. 4, article 2108, 1999.
76. C. E. Aalseth, F. T. Avignone III, R. L. Brodzinski et al. , "IGEX 76Ge neutrinoless double-beta decay experiment: prospects for next generation experiments, " Physical ReviewD, vol. 65, Article ID 092007, 2002.
77. M. Agostini, M. Allardt, E. Andreotti et al. , "Results on neutrinoless double-β decay of 76Ge from Phase I of the GERDA experiment, " Physical Review Letters, vol. 111, no. 12, Article ID 122503, 2013.
78. K.-H. Ackermann, M. Agostini, M. Allardt et al. , "The Gerda experiment for the search of 0vββ decay in 76Ge, " The European Physical Journal C, vol. 73, article 2330, 2013.
79. R. Arnold, C. Augier, J. D. Baker et al. , "Search for neutrinoless double-beta decay of 100Mo with the NEMO-3 detector, " Physical Review D, vol. 89, no. 11, Article ID 111101, 2014.
80. J. B. Albert, D. J. Auty, P. S. Barbeau et al. , "Search for Majorana neutrinos with the first two years of EXO-200 data, " Nature, vol. 510, pp. 229-234, 2014.
81. A. Gando, Y. Gando, H. Hanakago et al. , "Limit on neutrinoless ββ decay of 136Xe from the first phase of KamLAND-Zen and comparison with the positive claim in 76Ge, " Physical Review Letters, vol. 110, no. 6, Article ID 062502, 2013.
82. K. Asakura, A. Gando, Y. Gando et al. , "Results from KamLANDZen, " AIP Conference Proceedings, vol. 1666, Article ID 170003, 2015.
83. D. R. Artusa, F. T. Avignone III, O. Azzolini et al. , "Searching for neutrinoless double-beta decay of 130Te with CUORE, " Advances in High Energy Physics, vol. 2015, Article ID 879871, 13 pages, 2015.
84. R. Brugnera and A. Garfagnini, "Status of the GERDA experiment at the laboratori nazionali del gran sasso, " Advances in High Energy Physics, vol. 2013, Article ID 506186, 15 pages, 2013.
85. L. Pattavina, "Scintillating bolometers for the LUCIFER project, " in Proceedings of the XIV International Conference on Topics in Astroparticle and Underground Physics (TAUP 15), Torino , Italy, September 2015.
86. N. Abgrall, E. Aguayo, F. T. Avignone III et al. , "The MAJORANA DEMONSTRATOR neutrinoless double-β decay experiment, " Advances in High Energy Physics, vol. 2014, Article ID 365432, 18 pages, 2014.
87. J. J. Gmez-Cadenas, V. ?Alvarez, F. I. G. Borges et al. , "Present status and future perspectives of the NEXT experiment, " Advances in High Energy Physics, vol. 2014, Article ID 907067, 22 pages, 2014.
88. A. Laing, "The NEXT double beta decay experiment, " in Proceedings of the XIV International Conference on Topics in Astroparticle and Underground Physics (TAUP 15), Torino, Italy, September 2015.
89. Y. H. Kim, "TheAMoRE project, " in Proceedings of the 14th International Conference on Topics in Astroparticle and Underground Physics (TAUP 15), Torino , Italy, September 2015.
90. I. Ostrovskiy, "nEXO: the next generation 136Xe neutrinoless double beta decay search, " in Proceedings of the XIV International Conference on Topics in Astroparticle and Underground Physics (TAUP 15), Torino , Italy, September 2015.
91. X. Ji, "PandaX and OnuDBD, " in Proceedings of the International Workshop on Baryon and Lepton Number Violation (BLV 5), Amherst, Mass, USA, April 2015.
92. S. Andringa, E. Arushanova, S. Asahi et al. , "Current status and future prospects of the SNO+ experiment, " Advances in High Energy Physics, vol. 2016, Article ID 6194250, 21 pages, 2016.
93. R. Arnold, C. Augier, J. D. Baker et al. , "Results of the search for neutrinoless double-β decay in 100Mo with the NEMO-3 experiment, " Physical Review D, vol. 92, no. 7, Article ID072011, 2015.
94. S. Blot, "Recent results from the NEMO-3 experiment and the status of SuperNEMO, " in Proceedings of the 14th International Conference on Topics in Astroparticle and Underground Physics (TAUP 15), Torino, Italy, September 2015.
95. J. Kotila and F. Iachello, "Phase-space factors for double-β decay, " Physical Review C, vol. 85, Article ID 034316, 2012.
96. J. Barea, J. Kotila, and F. Iachello, "0vββ and 2vββ nuclear matrix elements in the interacting boson model with isospin restoration, " Physical Review C, vol. 91, no. 3, Article ID034304, 2015.
97. M. Gell-Mann and A. Pais, "Behavior of neutral particles under charge conjugation, " Physical Review, vol. 97, pp. 1387-1389, 1955.
98. K. Lande, E. T. Booth, J. Impeduglia, L. M. Lederman, and W. Chinowsky, "Observation of long-lived neutral v particles, " Physical Review, vol. 103, no. 6, pp. 1901-1904, 1956.
99. K. Lande, L. M. Lederman, and W. Chinowsky, "Report on longlived k 0 mesons, " Physical Review, vol. 105, no. 6, pp. 1925-1927, 1957.
100. J. Prentki and M. J. G. Veltman, "Possibility of CP violation in semistrong interactions, " Physics Letters, vol. 15, pp. 88-90, 1965.
101. T. D. Lee and L. Wolfenstein, "Analysis of CP-noninvariant interactions and the K10, K20 system, " Physical Review, vol. 138, no. 6B, pp. B1490-B1496, 1965.
102. F. Wilczek and A. Zee, "Operator analysis of nucleon decay, " Physical Review Letters, vol. 43, no. 21, pp. 1571-1573, 1979.
103. K. Choi, K. S. Jeong, and W. Y. Song, "Operator analysis of neutrinoless double beta decay, " Physical Review D, vol. 66, no. 9, Article ID 093007, 2002.
104. F. Bonnet, M. Hirsch, T. Ota, and W. Winter, "Systematic decomposition of the neutrinoless double beta decay operator, " Journal of High Energy Physics, vol. 2013, article 55, 2013, Erratum in Journal of High Energy Physics, vol. 2014, article 90, 2014.
105. A. Atre, T. Han, S. Pascoli, and B. Zhang, "The search for heavy Majorana neutrinos, " Journal of High Energy Physics, vol. 2009, no. 5, article 030, 2009.
106. M. Mitra, G. Senjanovi, and F. Vissani, "Neutrinoless double beta decay and heavy sterile neutrinos, " Nuclear Physics B, vol. 856, no. 1, pp. 26-73, 2012.
107. M. Blennow, E. Fernandez-Martinez, J. Lopez-Pavon, and J. Menndez, "Neutrinoless double beta decay in seesaw models, " Journal of High Energy Physics, vol. 2010, article 96, 2010.
108. J. Lopez-Pavon, S. Pascoli, and C.-F. Wong, "Can heavy neutrinos dominate neutrinoless double beta decay?" Physical Review D, vol. 87, no. 9, Article ID093007, 2013.
109. P. S. B. Dev and R. N. Mohapatra, "Unified explanation of the eejj, diboson, and dijet resonances at the LHC, " Physical Review Letters, vol. 115, no. 18, Article ID 181803, 2015.
110. F. F. Deppisch, L. Graf, S. Kulkarni et al. , "Reconciling the 2 TeV excesses at the LHC in a linear seesaw left-rightmodel, " Physical Review D, vol. 93, no. 1, Article ID 013011, 2016.
111. F. F. Deppisch, S. Kulkarni, H. Ps, and E. Schumacher, "Leptoquark patterns unifying neutrino masses, flavor anomalies and the diphoton excess, " http://arxiv. org/abs/1603. 07672.
112. J. Schechter and J. W. F. Valle, "Neutrinoless double-decay in SU(2)U(1) theories, " Physical Review D, vol. 25, no. 11, pp. 2951-2954, 1982.
113. S. Coleman, Aspects of Symmetry, chapter 4, CambridgeUniversity Press, Cambridge, UK, 1988.
114. M. Duerr, M. Lindner, and A. Merle, "On the quantitative impact of the Schechter-Valle theorem, " Journal of High Energy Physics, vol. 2011, no. 6, article 091, 2011.
115. S. Weinberg, "Supersymmetry at ordinary energies. Masses and conservation laws, " Physical Review D, vol. 26, no. 1, article 287, 1982.
116. R. N. Mohapatra and A. Y. Smirnov, "Neutrino mass and new physics, " Annual Review of Nuclear and Particle Science, vol. 56, pp. 569-628, 2006.
117. R. N. Mohapatra and P. B. Pal, Massive Neutrinos in Physics and Astrophysics, vol. 60 ofWorld Scientific Lecture Notes in Physics, 2nd edition, 1998.
118. S. Alekhin, W. Altmannshofer, T. Asaka et al. , "A facility to search for hidden particles at the CERN SPS: the SHiP physics case, " Reports on Progress in Physics, In press.
119. M. Anelli, S. Aoki, G. Arduini et al. , "A facility to search for hidden particles (SHiP) at the CERN SPS, " http://arxiv. org/abs/ 1504. 04956.
120. J. C. Pati and A. Salam, "Lepton number as the fourth color, " Physical Review D, vol. 10, no. 1, pp. 275-289, 1974.
121. W.-Y. Keung and G. Senjanovi, "Majorana neutrinos and the production of the right-handed charged gauge boson, " Physical Review Letters, vol. 50, no. 19, pp. 1427-1430, 1983.
122. V. Tello, M. Nemevek, F. Nesti, G. Senjanovi, and F. Vissani, "Left-right symmetry: from the LHC to neutrinoless double beta decay, " Physical Review Letters, vol. 106, no. 15, Article ID 151801, 2011.
123. M. Nemevsek, F. Nesti, G. Senjanovi, and Y. Zhang, "Limits on the left-right symmetry scale and heavy neutrinos from early LHC data, " Physical Review D, vol. 83, no. 11, Article ID 115014, 2011.
124. S. DellOro, S. Marcocci, and F. Vissani, "New expectations and uncertainties on neutrinoless double beta decay, " Physical Review D, vol. 90, no. 3, Article ID033005, 2014.
125. L. Wolfenstein, "Neutrino oscillations in matter, " Physical Review D, vol. 17, no. 9, pp. 2369-2374, 1978.
126. S. P. Mikheev and A. Y. Smirnov, "Resonance amplification of oscillations in matter and spectroscopy of solar neutrinos, " Soviet Journal of Nuclear Physics, vol. 42, pp. 913-917, 1985.
127. S. Abe, K. Furuno, A. Gando et al. , "Precision measurement of neutrino oscillation parameters with KamLAND, " Physical Review Letters, vol. 100, no. 22, Article ID221803, 2008.
128. P. Ghoshal and S. T. Petcov, "Neutrino mass hierarchy determination using reactor antineutrinos, " Journal of High Energy Physics, vol. 2011, article 58, 2011.
129. F. Vissani, "Signal of neutrinoless double beta decay, neutrino spectrum and oscillation scenarios, " Journal of High Energy Physics, vol. 3, no. 6, 1999.
130. F. Feruglio, A. Strumia, and F. Vissani, "Neutrino oscillations and signals in β and 0]2β experiments, " Nuclear Physics B, vol. 637, no. 1-3, pp. 345-377, 2002.
131. Y. B. Zeldovich and M. Y. Khlopov, "The neutrino mass in elementary particle physics and in big bang cosmology, " Soviet Physics Uspekhi, vol. 24, no. 9, pp. 755-774, 1981.
132. G. L. Fogli, E. Lisi, A. Marrone et al. , "Observables sensitive to absolute neutrino masses: constraints and correlations from world neutrino data, " Physical Review D, vol. 70, Article ID 113003, 2004.
133. J. R. Primack, J. Holtzman, A. Klypin, and D. O. Caldwell, "Cold + hot dark matter cosmology with m(vμ )≈ (mt) ≈2. 4 eV, " Physical Review Letters, vol. 74, no. 12, pp. 2160-2163, 1995.
134. S. W. Allen, R. W. Schmidt, and S. L. Bridle, "A preference for a non-zero neutrino mass from cosmological data, " Monthly Notices of the Royal Astronomical Society, vol. 346, no. 2, pp. 593-600, 2003.
135. R. A. Battye and A. Moss, "Evidence for massive neutrinos fromcosmic microwave background and lensing observations, " Physical Review Letters, vol. 112, no. 5, Article ID 051303, 2014.
136. N. Palanque-Delabrouille, C. Yeche, J. Lesgourgues et al. , "Constraint on neutrino masses from SDSS-III/BOSS Lyα; forest and other cosmological probes, " Journal of Cosmology and Astroparticle Physics, vol. 2015, no. 2, p. 45, 2015.
137. J. Lesgourgues, G. Mangano, G. Miele, and S. Pastor, Neutrino Cosmology, Cambridge University Press, 2013.
138. M. Wyman, D. H. Rudd, R. A. Vanderveld, and W. Hu, "Neutrinos help reconcile planck measurements with the local universe, " Physical Review Letters, vol. 112, no. 5, Article ID 051302, 2014.
139. J. Hamann and J. Hasenkamp, "A new life for sterile neutrinos: resolving inconsistencies using hot dark matter, " Journal of Cosmology and Astroparticle Physics, vol. 2013, article 044, 2013.
140. P. A. R. Ade, N. Aghanim, C. Armitage-Caplan et al. , "Planck 2013 results. XVI. Cosmological parameters, " Astronomy and Astrophysics, vol. 571, articleA16, 2014.
141. S. Kovalenko, M. I. Krivoruchenko, and F. Simkovic, "Neutrino propagation in nuclear medium and neutrinoless double-beta decay, " Physical ReviewLetters, vol. 112, no. 14, Article ID142503, 2014.
142. Y. Y. Y. Wong, "Neutrino mass in cosmology: status and prospects, " Annual Review of Nuclear and Particle Science, vol. 61, pp. 69-98, 2011.
143. J. Lesgourgues and S. Pastor, "Neutrino cosmology and Planck, " New Journal of Physics, vol. 16, Article ID 065002, 2014.
144. T. J. Loredo and D. Q. Lamb, "Bayesian analysis of neutrinos observed fromsupernova SN1987A, " Physical Review D, vol. 65, no. 6, Article ID 063002, 2002.
145. 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.
146. C. Kraus, B. Bornschein, L. Bornschein et al. , "Final results from phase II of the Mainz neutrino mass searchin tritium β decay, " European Physical Journal C, vol. 40, no. 4, pp. 447-468, 2005.
147. 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.
148. A. Osipowicz, H. Blumer, G. Drexlin et al. , "KATRIN: a next generation tritiumbeta decay experiment with sub-eV sensitivity for the electron neutrino mass. Letter of intent, " http://arxiv . org/abs/hep-ex/0109033.
149. B. Alpert, M. Balata, D. Bennett et al. , "HOLMES-the electron capture decay of 163Ho to measure the electron neutrino mass with sub-eV sensitivity, " The European Physical Journal C, vol. 75, article 112, 2015.
150. P. J. Doe, J. Kofron, E. L. McBride et al. , "Project 8: determining neutrino mass fromtritiumbeta decay using a frequency-based method, " in Proceedings of the Snowmass Conference, September 2013, Conference: C13-07-29. 2, https://arxiv. org/abs/1309. 7093.
151. P. C.-O. Ranitzsch, J.-P. Porst, S. Kempf et al. , "Development of metallic magnetic calorimeters for high precision measurements of calorimetric 187Re and 163Ho spectra, " Journal of Low Temperature Physics, vol. 167, no. 5-6, pp. 1004-1014, 2012.
152. F. Buccella and D. Falcone, "Bounds for neutrinoless double β decay in SO(10) inspired seesawmodels, "Modern Physics Letters A, vol. 19, no. 40, article 2993, 2004.
153. S. Pascoli and S. T. Petcov, "Majorana neutrinos, neutrino mass spectrum and the |m|∼ 10-3 eV frontier in neutrinoless double beta decay, " Physical Review D, vol. 77, Article ID 113003, 2008.
154. C. D. Froggatt and H. B. Nielsen, "Hierarchy of quark masses, cabibbo angles and CP violation, " Nuclear Physics B, vol. 147, no. 3-4, pp. 277-298, 1979.
155. F. Vissani, "Expected properties of massive neutrinos for mass matrices with a dominant block and random coefficients order unity, " Physics Letters B, vol. 508, no. 1-2, pp. 79-84, 2001.
156. F. Vissani, M. Narayan, and V. Berezinsky, "Ue3 from physics above the GUT scale, " Physics Letters B, vol. 571, no. 3-4, pp. 209-216, 2003.
157. H. Primakoff and S. P. Rosen, "Double β decay, " Reports on Progress in Physics, vol. 22, no. 1, p. 121, 1959.
158. M. Doi, T. Kotani, H. Nishiura, K. Okuda, and E. Takasugi, "Neutrino mass, the right-handed interaction and the double beta decay. 2. General properties and data analysis, " Progress of Theoretical Physics, vol. 66, no. 5, pp. 1765-1788, 1981, Erratum in: Progress of Theoretical Physics, vol. 68, p. 348, 1982.
159. Erratum in: Progress of Theoretical Physics, vol. 68, p. 348, 1982
160. M. Doi, T. Kotani, H. Nishiura, and E. Takasugi, "Double β decay, " Progress of Theoretical Physics, vol. 69, no. 2, pp. 602-635, 1983.
161. T. Tomoda, "Double beta decay, " Reports on Progress in Physics, vol. 54, no. 1, pp. 53-126, 1991.
162. S. Stoica and M. Mirea, "New calculations for phase space factors involved in double-β decay, " Physical Review C, vol. 88, no. 3, Article ID037303, 2013.
163. D. Stefnik, R. Dvornick, F. Simkovic, and P. Vogel, "Reexamining the light neutrino exchange mechanism of the 0ββ decay with left-and right-handed leptonic and hadronic currents, " Physical Review C, vol. 92, Article ID 055502, 2015.
164. F. Simkovic, V. Rodin, A. Faessler, and P. Vogel, "0vββand 2vββnuclear matrix elements, quasiparticle random-phase approximation, and isospin symmetry restoration, " Physical Review C, vol. 87, no. 4, Article ID045501, 2013.
165. J. Menndez, A. Poves, E. Caurier, and F. Nowacki, "Disassembling the nuclearmatrix elements of the neutrinoless ββ decay, " Nuclear Physics A, vol. 818, no. 3-4, pp. 139-151, 2009.
166. E. Caurier, G. Martiez-Pinedo, F. Nowacki, A. Poves, and P. A. Zuker, "The shell model as a unified view of nuclear structure, " Reviews of Modern Physics, vol. 77, no. 2, pp. 427-488, 2005.
167. J. Hyvrinen and J. Suhonen, "Nuclear matrix elements for 0vββdecays with light or heavy Majorana-neutrino exchange, " Physical Review C, vol. 91, no. 2, Article ID 024613, 2015.
168. P. K. Rath, R. Chandra, K. Chaturvedi, P. Lohani, P. K. Raina, and J. G. Hirsch, "Neutrinoless ββ decay transition matrix elements within mechanisms involving light majorana neutrinos, classicalmajorons, and sterile neutrinos, " Physical ReviewC, vol. 88, Article ID 064322, 2013.
169. T. R. Rodriuez and G. Martiez-Pinedo, "Energy density functional study of nuclear matrix elements for neutrinoless ββ decay, " Physical Review Letters, vol. 105, no. 25, Article ID 252503, 2010.
170. F. Simkovic, G. Pantis, J. D. Vergados, and A. Faessler, "Additional nucleon current contributions to neutrinoless double β decay, " Physical Review C, vol. 60, no. 5, Article ID055502, 1999.
171. J. Barea, J. Kotila, and F. Iachello, "Nuclear matrix elements for double-β decay, " Physical Review C, vol. 87, no. 1, Article ID 014315, 2013.
172. J. N. Bahcall, H. Murayama, and C. Pena-Garay, "What can we learn from neutrinoless double beta decay experiments?" Physical Review D, vol. 70, no. 3, Article ID033012, 2004.
173. V. A. Rodin, A. Faessler, F. Simkovic, and P. Vogel, "On the uncertainty in the 0vββdecay nuclear matrix elements, " Physical Review C, vol. 68, Article ID 044302, 2003.
174. V. A. Rodin, A. Faessler, F. Simkovic, and P. Vogel, "Assessment of uncertainties in QRPA O]ββ-decay nuclear matrix elements, " Nuclear Physics A, vol. 766, pp. 107-131, 2006.
175. A. Faessler, M. Gonzlez, S. Kovalenko, and F. Simkovic, "Arbitrary mass Majorana neutrinos in neutrinoless double beta decay, " Physical Review D, vol. 90, no. 9, Article ID096010, 2014.
176. F. Simkovic, S. M. Bilenky, A. Faessler, and T. Gutsche, "Possibility of measuring the CP Majorana phases in 0vββdecay, " Physical Review D, vol. 87, no. 7, Article ID073002, 2013.
177. A. Faessler, G. L. Fogli, E. Lisi, V. Rodin, A. M. Rotunno, and F. Simkovic, "Overconstrained estimates of neutrinoless double beta decay within the QRPA, " Journal of Physics G: Nuclear and Particle Physics, vol. 35, no. 7, Article ID075104, 2008.
178. J. Suhonen and O. Civitarese, "Probing the quenching of gA by single and double beta decays, " Physics Letters B, vol. 725, no. 1-3, pp. 153-157, 2013.
179. E. Lisi, A. Rotunno, and F. Simkovic, "Degeneracies of particle and nuclear physics uncertainties in neutrinoless ββ decay, " Physical Review D, vol. 92, no. 9, Article ID093004, 2015.
180. M. Konieczka, P. Baczyk, and W. Satula, "Beta-decay study within multi-reference density functional theory and beyond, " http://arxiv. org/abs/1509. 04480.
181. J.-I. Fujita and K. Ikeda, "Existence of isobaric states and beta decay of heavier nuclei, " Nuclear Physics, vol. 67, no. 1, pp. 145-177, 1965.
182. D. H. Wilkinson, "Renormalization of the axial-vector coupling constant in nuclear β decay, " Physical Review C, vol. 7, no. 3, pp. 930-936, 1973.
183. D. H. Wilkinson, "Renormalization of the axial-vector coupling constant in nuclear β-decay (II), " Nuclear Physics A, vol. 209, no. 3, pp. 470-484, 1973.
184. D. H. Wilkinson, "Renormalization of the axial-vector coupling constant in nuclear β-decay (II), " Nuclear Physics A, vol. 209, pp. 365-381, 1974.
185. M. Ericson, "Axial vector nuclear sum rules and exchange effects, " Annals of Physics, vol. 63, no. 2, pp. 562-576, 1971.
186. S. Barshay, G. E. Brown, and M. Rho, "A new interpretation of the pion-nucleus optical potential for pionic atoms, " Physical Review Letters, vol. 32, pp. 787-790, 1974, Erratum in: Physical Review Letters, vol. 32, p. 1149, 1974.
187. K. Shimizu, M. Ichimura, and A. Arima, "Magnetic moments and GT-type β-decay matrix elements in nuclei with a LS doubly closed shell plus or minus one nucleon, " Nuclear Physics A, vol. 226, no. 2, pp. 282-318, 1974.
188. J. Menndez, D. Gazit, and A. Schwenk, "Chiral two-body currents in nuclei: gamow-teller transitions and neutrinoless double-beta decay, " Physical Review Letters, vol. 107, Article ID 062501, 2011.
189. A. Ekstrm, G. Jansen, K. Wendt et al. , "Effects of three-nucleon forces and two-body currents on Gamow-Teller strengths, " Physical Review Letters, vol. 113, Article ID 262504, 2014.
190. J. Engel, F. Simkovic, and P. Vogel, "Chiral two-body currents and neutrinoless double-β decay in the quasiparticle randomphase approximation, " Physical Review C, vol. 89, no. 6, Article ID 064308, 2014.
191. F. Cappuzzello, C. Agodi, M. Bondi, D. Carbone, M. Cavallaro, and A. Foti, "The role of nuclear reactions in the problem of 0vββdecay and the NUMEN project at INFN-LNS, " Journal of Physics: Conference Series, vol. 630, no. 1, Article ID012018, 2015.
192. S. Kovalenko, Z. Lu, and I. Schmidt, "Lepton number violating processesmediated byMajorana neutrinos at hadron colliders, " Physical Review D, vol. 80, Article ID 073014, 2009.
193. F. Bergsma, J. Dorenbosch, J. V. Allaby et al. , "Asearch for decays of heavy neutrinos in the mass range 0. 5-2. 8GeV, " Physics Letters B, vol. 166, no. 4, pp. 473-478, 1986.
194. P. Abreu, W. Adam, T. Adye et al. , "Search for neutral heavy leptons produced in Z decays, " Zeitschrift fur Physik C Particles and Fields, vol. 74, no. 1, pp. 57-71, 1997, Erratumto Zeitschrift fur Physik C Particles and Fields, vol. 75, p. 580, 1997.
195. G. Bernardi, G. Carugno, J. Chauveau et al. , "Further limits on heavy neutrino couplings, " Physics Letters B, vol. 203, no. 3, pp. 332-334, 1988.
196. D. I. Britton, S. Ahmad, D. A. Bryman et al. , "Measurement of the μ+ →γ+] branching ratio, " Physical Review Letters, vol. 68, no. 20, pp. 3000-3003, 1992.
197. D. I. Britton, S. Ahmad, D. A. Bryman et al. , "Improved search for massive neutrinos in μ+ →γ+] decay, " Physical Review D, vol. 46, no. 3, pp. R885-R887, 1992.
198. R. G. H. Robertson, "Empirical survey of neutrinoless double beta decay matrix elements, " Modern Physics Letters A, vol. 28, no. 8, Article ID 1350021, 2013.
199. J. J. Gmez-Cadenas and J. Marti-Albo, "Phenomenology of neutrinoless double beta decay, " http://arxiv. org/abs/1502 . 00581.
200. S. R. Elliott and P. Vogel, "Double beta decay, " Annual Review of Nuclear and Particle Science, vol. 52, pp. 115-151, 2002.
201. E. L. Fireman, "Artificial radioactive substances, " Physical Review, vol. 74, p. 1238, 1948.
202. E. L. Fireman, "A measurement of the half-life of double betadecay from 50Sn124, " Physical Review, vol. 75, no. 2, pp. 323-324, 1949.
203. S. R. Elliott, A. A. Hahn, and M. K. Moe, "Direct evidence for two neutrino double beta decay in82Se, " Physical Review Letters, vol. 59, pp. 2020-2023, 1987.
204. H. V. Klapdor-Kleingrothaus, Seventy Years of Double Beta Decay: From Nuclear Physics to Beyond-Standard-Model Particle Physics, World Scientific, River Edge, NJ, USA, 2010.
205. V. I. Tretyak and Y. G. Zdesenko, Tables of double beta decay data: an update, " Atomic Data and Nuclear Data Tables, vol. 80, no 1, 83-116, 2002.
206. A. S. Barabash, "Experiment double beta decay: historical review of 75 years of research, " Physics of Atomic Nuclei, vol. 74, no. 4, pp. 603-613, 2011.
207. H. V. Klapdor-Kleingrothaus, A. Dietz, H. L. Harney, and I. V. Krivosheina, "Evidence for neutrinoless double beta decay, " Modern Physics Letters A, vol. 16, article 2409, 2001.
208. H. V. Klapdor-Kleingrothaus and I. V. Krivosheina, "The evidence for the observation of 0vββdecay: the identification of 0vββevents from the full spectra, " Modern Physics Letters A, vol. 21, no. 20, pp. 1547-1566, 2006.
209. C. E. Aalseth, F. T. Avignone, A. Barabash et al. , "Comment on evidence for neutrinoless double beta decay, " Modern Physics Letters A, vol. 17, no. 22, pp. 1475-1478, 2002.
210. Y. G. Zdesenko, F. A. Danevich, and V. I. Tretyak, "Has neutrinoless double β decay of 76Ge been really observed?" Physics Letters B, vol. 546, no. 3-4, pp. 206-215, 2002.
211. D. R. Artusa, F. T. Avignone III, O. Azzolini et al. , "Exploring the neutrinoless double beta decay in the inverted neutrino hierarchy with bolometric detectors, " The European Physical Journal C, vol. 74, article 3096, 2014.
212. S. DellOro, S. Marcocci, M. Viel, and F. Vissani, "The contribution of light Majorana neutrinos to neutrinoless double beta decay and cosmology, " Journal of Cosmology and Astroparticle Physics, vol. 2015, no. 12, article 023, 2015.
213. N. Palanque-Delabrouille, C. Yeche, A. Borde et al. , "The onedimensional Lyα; forest power spectrum from BOSS, " Astronomy and Astrophysics, vol. 559, articleA85, 19 pages, 2013.
214. V. Cirigliano, A. Kurylov, M. J. Ramsey-Musolf, and P. Vogel, "Neutrinoless double beta decay and lepton flavor violation, " Physical Review Letters, vol. 93, no. 23, Article ID 231802, 2004.