Abstract
We present accurate predictions of the effective Majorana mass |m ββ | in neu-trinoless double-β decay in the standard case of 3ν mixing and in the case of 3+1 neutrino mixing indicated by the reactor, Gallium and LSND anomalies. We have taken into account the uncertainties of the neutrino mixing parameters determined by oscillation experiments. It is shown that the predictions for |m ββ | in the cases of 3ν and 3+1 mixing are quite different, in agreement with previous discussions in the literature, and that future measurements of neutrinoless double-β decay and of the effective light neutrino mass in β decay or the total mass of the three lightest neutrinos in cosmological experiments may distinguish the 3ν and 3+1 cases if the mass ordering is determined by oscillation experiments. We also present a relatively simple method to determine the minimum value of |m ββ | in the general case of N -neutrino mixing.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
G. Bellini, L. Ludhova, G. Ranucci and F.L. Villante, Neutrino oscillations, Adv. High Energy Phys. 2014 (2014) 191960 [arXiv:1310.7858] [INSPIRE].
Y. Wang and Z. zhong Xing, Neutrino Masses and Flavor Oscillations, arXiv:1504.06155 [INSPIRE].
F. Capozzi, G.L. Fogli, E. Lisi, A. Marrone, D. Montanino and A. Palazzo, Status of three-neutrino oscillation parameters, circa 2013, Phys. Rev. D 89 (2014) 093018 [arXiv:1312.2878] [INSPIRE].
D.V. Forero, M. Tortola and J.W.F. Valle, Neutrino oscillations refitted, Phys. Rev. D 90 (2014) 093006 [arXiv:1405.7540] [INSPIRE].
M.C. Gonzalez-Garcia, M. Maltoni and T. Schwetz, Updated fit to three neutrino mixing: status of leptonic CP-violation, JHEP 11 (2014) 052 [arXiv:1409.5439] [INSPIRE].
G. Mention et al., The Reactor Antineutrino Anomaly, Phys. Rev. D 83 (2011) 073006 [arXiv:1101.2755] [INSPIRE].
T.A. Mueller et al., Improved Predictions of Reactor Antineutrino Spectra, Phys. Rev. C 83 (2011) 054615 [arXiv:1101.2663] [INSPIRE].
P. Huber, On the determination of anti-neutrino spectra from nuclear reactors, Phys. Rev. C 84 (2011) 024617 [Erratum ibid. C 85 (2012) 029901] [arXiv:1106.0687] [INSPIRE].
J.N. Abdurashitov et al., Measurement of the response of a Ga solar neutrino experiment to neutrinos from an Ar-37 source, Phys. Rev. C 73 (2006) 045805 [nucl-ex/0512041] [INSPIRE].
M. Laveder, Unbound neutrino roadmaps, Nucl. Phys. Proc. Suppl. 168 (2007) 344 [INSPIRE].
C. Giunti and M. Laveder, Short-Baseline Active-Sterile Neutrino Oscillations?, Mod. Phys. Lett. A 22 (2007) 2499 [hep-ph/0610352] [INSPIRE].
C. Giunti and M. Laveder, Statistical Significance of the Gallium Anomaly, Phys. Rev. C 83 (2011) 065504 [arXiv:1006.3244] [INSPIRE].
C. Giunti, M. Laveder, Y.F. Li, Q.Y. Liu and H.W. Long, Update of Short-Baseline Electron Neutrino and Antineutrino Disappearance, Phys. Rev. D 86 (2012) 113014 [arXiv:1210.5715] [INSPIRE].
F. Kaether, W. Hampel, G. Heusser, J. Kiko and T. Kirsten, Reanalysis of the GALLEX solar neutrino flux and source experiments, Phys. Lett. B 685 (2010) 47 [arXiv:1001.2731] [INSPIRE].
SAGE collaboration, J.N. Abdurashitov et al., Measurement of the solar neutrino capture rate with gallium metal. III: Results for the 2002-2007 data-taking period, Phys. Rev. C 80 (2009) 015807 [arXiv:0901.2200] [INSPIRE].
LSND collaboration, C. Athanassopoulos et al., Candidate events in a search for anti-muon-neutrino → anti-electron-neutrino oscillations, Phys. Rev. Lett. 75 (1995) 2650 [nucl-ex/9504002] [INSPIRE].
LSND collaboration, A. Aguilar-Arevalo et al., Evidence for neutrino oscillations from the observation of anti-neutrino(electron) appearance in a anti-neutrino(muon) beam, Phys. Rev. D 64 (2001) 112007 [hep-ex/0104049] [INSPIRE].
J. Kopp, P.A.N. Machado, M. Maltoni and T. Schwetz, Sterile neutrino oscillations: the global picture, JHEP 05 (2013) 050 [arXiv:1303.3011] [INSPIRE].
C. Giunti, M. Laveder, Y.F. Li and H.W. Long, Pragmatic View of Short-Baseline Neutrino Oscillations, Phys. Rev. D 88 (2013) 073008 [arXiv:1308.5288] [INSPIRE].
Particle Data Group collaboration, K. Olive et al., Review of Particle Physics, Chin. Phys. C 38 (2014) 090001 [INSPIRE].
B. Pontecorvo, Neutrino Experiments and the Problem of Conservation of Leptonic Charge, Sov. Phys. JETP 26 (1968) 984 [INSPIRE].
S.M. Bilenky and C. Giunti, Neutrinoless Double-Beta Decay: a Probe of Physics Beyond the Standard Model, Int. J. Mod. Phys. A 30 (2015) 1530001 [arXiv:1411.4791] [INSPIRE].
C. Kraus et al., Final results from phase II of the Mainz neutrino mass search in tritium beta decay, Eur. Phys. J. C 40 (2005) 447 [hep-ex/0412056] [INSPIRE].
Troitsk collaboration, V.N. Aseev et al., An upper limit on electron antineutrino mass from Troitsk experiment, Phys. Rev. D 84 (2011) 112003 [arXiv:1108.5034] [INSPIRE].
S. Goswami and W. Rodejohann, Constraining mass spectra with sterile neutrinos from neutrinoless double beta decay, tritium beta decay and cosmology, Phys. Rev. D 73 (2006) 113003 [hep-ph/0512234] [INSPIRE].
S. Goswami and W. Rodejohann, MiniBooNE results and neutrino schemes with 2 sterile neutrinos: Possible mass orderings and observables related to neutrino masses, JHEP 10 (2007) 073 [arXiv:0706.1462] [INSPIRE].
J. Barry, W. Rodejohann and H. Zhang, Light Sterile Neutrinos: Models and Phenomenology, JHEP 07 (2011) 091 [arXiv:1105.3911] [INSPIRE].
Y.F. Li and S.-s. Liu, Vanishing effective mass of the neutrinoless double beta decay including light sterile neutrinos, Phys. Lett. B 706 (2012) 406 [arXiv:1110.5795] [INSPIRE].
W. Rodejohann, Neutrinoless double beta decay and neutrino physics, J. Phys. G 39 (2012) 124008 [arXiv:1206.2560] [INSPIRE].
I. Girardi, A. Meroni and S.T. Petcov, Neutrinoless double beta decay in the presence of light sterile neutrinos, JHEP 11 (2013) 146 [arXiv:1308.5802] [INSPIRE].
S. Pascoli, M. Mitra and S. Wong, Effect of cancellation in neutrinoless double beta decay, Phys. Rev. D 90 (2014) 093005 [arXiv:1310.6218] [INSPIRE].
A. Meroni and E. Peinado, The quest for neutrinoless double beta decay: Pseudo-Dirac, Majorana and sterile neutrinos, Phys. Rev. D 90 (2014) 053002 [arXiv:1406.3990] [INSPIRE].
A. Abada, V. De Romeri and A.M. Teixeira, Effect of steriles states on lepton magnetic moments and neutrinoless double beta decay, JHEP 09 (2014) 074 [arXiv:1406.6978] [INSPIRE].
C. Giunti, Global Status of Sterile Neutrino Scenarios, talk presented at NeuTel 2015, XVI International Workshop on Neutrino Telescopes, 2-6 March 2015, Venice, Italy.
S. Gariazzo, C. Giunti, M. Laveder, Y.F. Li and E.M. Zavanin, Light sterile neutrinos, arXiv:1507.08204.
J.J. Gomez-Cadenas, J. Martin-Albo, M. Mezzetto, F. Monrabal and M. Sorel, The Search for neutrinoless double beta decay, Riv. Nuovo Cim. 35 (2012) 29 [arXiv:1109.5515] [INSPIRE].
A. Giuliani and A. Poves, Neutrinoless Double-Beta Decay, Adv. High Energy Phys. 2012 (2012) 857016.
B. Schwingenheuer, Status and prospects of searches for neutrinoless double beta decay, Annalen Phys. 525 (2013) 269 [arXiv:1210.7432] [INSPIRE].
O. Cremonesi and M. Pavan, Challenges in Double Beta Decay, arXiv:1310.4692 [INSPIRE].
CUORE collaboration, D.R. Artusa et al., Exploring the Neutrinoless Double Beta Decay in the Inverted Neutrino Hierarchy with Bolometric Detectors, Eur. Phys. J. C 74 (2014) 3096 [arXiv:1404.4469] [INSPIRE].
J.J. Gómez-Cadenas and J. Martín-Albo, Phenomenology of neutrinoless double beta decay, PoS GSSI14 (2015) 004 [arXiv:1502.00581] [INSPIRE].
A. Faessler and F. Simkovic, Double beta decay, J. Phys. G 24 (1998) 2139 [hep-ph/9901215] [INSPIRE].
K.-w. Choi, K.S. Jeong and W.Y. Song, Operator analysis of neutrinoless double beta decay, Phys. Rev. D 66 (2002) 093007 [hep-ph/0207180] [INSPIRE].
A. Ibarra, E. Molinaro and S.T. Petcov, TeV Scale See-Saw Mechanisms of Neutrino Mass Generation, the Majorana Nature of the Heavy Singlet Neutrinos and (ββ) 0v-Decay, JHEP 09 (2010) 108 [arXiv:1007.2378] [INSPIRE].
V. Tello, M. Nemevšek, F. Nesti, G. Senjanović and F. Vissani, Left-Right Symmetry: from LHC to Neutrinoless Double Beta Decay, Phys. Rev. Lett. 106 (2011) 151801 [arXiv:1011.3522] [INSPIRE].
W. Rodejohann, Neutrino-less Double Beta Decay and Particle Physics, Int. J. Mod. Phys. E 20 (2011) 1833 [arXiv:1106.1334] [INSPIRE].
F. del Aguila, A. Aparici, S. Bhattacharya, A. Santamaria and J. Wudka, Effective Lagrangian approach to neutrinoless double beta decay and neutrino masses, JHEP 06 (2012) 146 [arXiv:1204.5986] [INSPIRE].
F.F. Deppisch, M. Hirsch and H. Pas, Neutrinoless Double Beta Decay and Physics Beyond the Standard Model, J. Phys. G 39 (2012) 124007 [arXiv:1208.0727] [INSPIRE].
A. de Gouvêa and P. Vogel, Lepton Flavor and Number Conservation and Physics Beyond the Standard Model, Prog. Part. Nucl. Phys. 71 (2013) 75 [arXiv:1303.4097] [INSPIRE].
S.M. Bilenky, S. Pascoli and S.T. Petcov, Majorana neutrinos, neutrino mass spectrum, CP-violation and neutrinoless double beta decay. 1. The Three neutrino mixing case, Phys. Rev. D 64 (2001) 053010 [hep-ph/0102265] [INSPIRE].
S. Pascoli, S.T. Petcov and W. Rodejohann, On the CP-violation associated with Majorana neutrinos and neutrinoless double beta decay, Phys. Lett. B 549 (2002) 177 [hep-ph/0209059] [INSPIRE].
A. Joniec and M. Zralek, Conditions for detecting CP-violation via neutrinoless double beta decay, Phys. Rev. D 73 (2006) 033001 [hep-ph/0411070] [INSPIRE].
S. Pascoli, S.T. Petcov and T. Schwetz, The Absolute neutrino mass scale, neutrino mass spectrum, Majorana CP-violation and neutrinoless double-beta decay, Nucl. Phys. B 734 (2006) 24 [hep-ph/0505226] [INSPIRE].
F. Simkovic, S.M. Bilenky, A. Faessler and T. Gutsche, Possibility of measuring the CP Majorana phases in 0νββ decay, Phys. Rev. D 87 (2013) 073002 [arXiv:1210.1306] [INSPIRE].
A. de Gouvêa, B. Kayser and R.N. Mohapatra, Manifest CP-violation from Majorana phases, Phys. Rev. D 67 (2003) 053004 [hep-ph/0211394] [INSPIRE].
KamLAND-Zen collaboration, A. Gando et al., Limit on Neutrinoless ββ Decay of 136Xe from the First Phase of KamLAND-Zen and Comparison with the Positive Claim in 76Ge, Phys. Rev. Lett. 110 (2013) 062502 [arXiv:1211.3863] [INSPIRE].
H.V. Klapdor-Kleingrothaus et al., Latest results from the Heidelberg-Moscow double beta decay experiment, Eur. Phys. J. A 12 (2001) 147 [hep-ph/0103062] [INSPIRE].
IGEX collaboration, C.E. Aalseth et al., The IGEX Ge-76 neutrinoless double beta decay experiment: Prospects for next generation experiments, Phys. Rev. D 65 (2002) 092007 [hep-ex/0202026] [INSPIRE].
GERDA collaboration, M. Agostini et al., Results on Neutrinoless Double-β Decay of 76Ge from Phase I of the GERDA Experiment, Phys. Rev. Lett. 111 (2013) 122503 [arXiv:1307.4720] [INSPIRE].
NEMO-3 collaboration, R. Arnold et al., Search for neutrinoless double-beta decay of 100M o with the NEMO-3 detector, Phys. Rev. D 89 (2014) 111101 [arXiv:1311.5695] [INSPIRE].
E. Andreotti et al., 130Te Neutrinoless Double-Beta Decay with CUORICINO, Astropart. Phys. 34 (2011) 822 [arXiv:1012.3266] [INSPIRE].
EXO-200 collaboration, J.B. Albert et al., Search for Majorana neutrinos with the first two years of EXO-200 data, Nature 510 (2014) 229 [arXiv:1402.6956] [INSPIRE].
F. Vissani, Signal of neutrinoless double beta decay, neutrino spectrum and oscillation scenarios, JHEP 06 (1999) 022 [hep-ph/9906525] [INSPIRE].
Z.-z. Xing and Y.-L. Zhou, Geometry of the effective Majorana neutrino mass in the 0νββ decay, Chin. Phys. C 39 (2015) 011001 [arXiv:1404.7001] [INSPIRE].
Planck collaboration, P.A.R. Ade et al., Planck 2015 results. XIII. Cosmological parameters, arXiv:1502.01589 [INSPIRE].
V.D. Barger and K. Whisnant, Majorana neutrino masses from neutrinoless double beta decay and cosmology, Phys. Lett. B 456 (1999) 194 [hep-ph/9904281] [INSPIRE].
K. Matsuda, N. Takeda, T. Fukuyama and H. Nishiura, MNS parameters from neutrino oscillations, single beta decay and double beta decay, Phys. Rev. D 64 (2001) 013001 [hep-ph/0012357] [INSPIRE].
V. Barger, S.L. Glashow, D. Marfatia and K. Whisnant, Neutrinoless double beta decay can constrain neutrino dark matter, Phys. Lett. B 532 (2002) 15 [hep-ph/0201262] [INSPIRE].
G.L. Fogli et al., Observables sensitive to absolute neutrino masses: Constraints and correlations from world neutrino data, Phys. Rev. D 70 (2004) 113003 [hep-ph/0408045] [INSPIRE].
C. Giunti and C.W. Kim, Fundamentals of Neutrino Physics and Astrophysics, Oxford University Press, Oxford U.K. (2007).
V. Barger, S.L. Glashow, P. Langacker and D. Marfatia, No go for detecting CP-violation via neutrinoless double beta decay, Phys. Lett. B 540 (2002) 247 [hep-ph/0205290] [INSPIRE].
H. Nunokawa, W.J.C. Teves and R. Zukanovich Funchal, Constraining the absolute neutrino mass scale and Majorana CP-violating phases by future 0 neutrino beta beta decay experiments, Phys. Rev. D 66 (2002) 093010 [hep-ph/0206137] [INSPIRE].
H. Minakata, H. Nunokawa and A.A. Quiroga, Constraining Majorana CP phase in the precision era of cosmology and the double beta decay experiment, PTEP 2015 (2015) 033B03 [arXiv:1402.6014] [INSPIRE].
S. Dell’Oro, S. Marcocci and F. Vissani, New expectations and uncertainties on neutrinoless double beta decay, Phys. Rev. D 90 (2014) 033005 [arXiv:1404.2616] [INSPIRE].
J.D. Vergados, H. Ejiri and F. Simkovic, Theory of Neutrinoless Double Beta Decay, Rept. Prog. Phys. 75 (2012) 106301 [arXiv:1205.0649] [INSPIRE].
J. Suhonen, Double beta decay: An interface between nuclear, particle and atomic physics, J. Phys. Conf. Ser. 413 (2013) 012016 [INSPIRE].
N. Yoshida and F. Iachello, Two neutrino double-β decay in the interacting boson-fermion model, PTEP 2013 (2013) 043D01 [arXiv:1301.7172] [INSPIRE].
KATRIN collaboration, S. Mertens, Status of the KATRIN Experiment and Prospects to Search for keV-mass Sterile Neutrinos in Tritium β-decay, Phys. Procedia 61 (2015) 267.
R.E. Shrock, New Tests For and Bounds On, Neutrino Masses and Lepton Mixing, Phys. Lett. B 96 (1980) 159 [INSPIRE].
B.H.J. McKellar, The Influence of Mixing of Finite Mass Neutrinos on Beta Decay Spectra, Phys. Lett. B 97 (1980) 93 [INSPIRE].
I. Yu. Kobzarev, B.V. Martemyanov, L.B. Okun and M.G. Shchepkin, The phenomenology of neutrino oscillations, Sov. J. Nucl. Phys. 32 (1980) 823 [INSPIRE].
F. Vissani, Nonoscillation searches of neutrino mass in the age of oscillations, Nucl. Phys. Proc. Suppl. 100 (2001) 273 [hep-ph/0012018] [INSPIRE].
Y. Farzan and A. Yu. Smirnov, On the effective mass of the electron neutrino in beta decay, Phys. Lett. B 557 (2003) 224 [hep-ph/0211341] [INSPIRE].
Y.-Z. Chu and M. Cirelli, Sterile neutrinos, lepton asymmetries, primordial elements: How much of each?, Phys. Rev. D 74 (2006) 085015 [astro-ph/0608206] [INSPIRE].
S. Hannestad, I. Tamborra and T. Tram, Thermalisation of light sterile neutrinos in the early universe, JCAP 07 (2012) 025 [arXiv:1204.5861] [INSPIRE].
A. Mirizzi, N. Saviano, G. Miele and P.D. Serpico, Light sterile neutrino production in the early universe with dynamical neutrino asymmetries, Phys. Rev. D 86 (2012) 053009 [arXiv:1206.1046] [INSPIRE].
N. Saviano et al., Multi-momentum and multi-flavour active-sterile neutrino oscillations in the early universe: role of neutrino asymmetries and effects on nucleosynthesis, Phys. Rev. D 87 (2013) 073006 [arXiv:1302.1200] [INSPIRE].
S. Hannestad, R.S. Hansen and T. Tram, Can active-sterile neutrino oscillations lead to chaotic behavior of the cosmological lepton asymmetry?, JCAP 04 (2013) 032 [arXiv:1302.7279] [INSPIRE].
S. Hannestad, R.S. Hansen and T. Tram, How Self-Interactions can Reconcile Sterile Neutrinos with Cosmology, Phys. Rev. Lett. 112 (2014) 031802 [arXiv:1310.5926] [INSPIRE].
B. Dasgupta and J. Kopp, Cosmologically Safe eV-Scale Sterile Neutrinos and Improved Dark Matter Structure, Phys. Rev. Lett. 112 (2014) 031803 [arXiv:1310.6337] [INSPIRE].
T. Bringmann, J. Hasenkamp and J. Kersten, Tight bonds between sterile neutrinos and dark matter, JCAP 07 (2014) 042 [arXiv:1312.4947] [INSPIRE].
P. Ko and Y. Tang, νΛMDM: A Model for Sterile Neutrino and Dark Matter Reconciles Cosmological and Neutrino Oscillation Data after BICEP2, Phys. Lett. B 739 (2014) 62 [arXiv:1404.0236] [INSPIRE].
M. Archidiacono, S. Hannestad, R.S. Hansen and T. Tram, Cosmology with self-interacting sterile neutrinos and dark matter - A pseudoscalar model, Phys. Rev. D 91 (2015) 065021 [arXiv:1404.5915] [INSPIRE].
N. Saviano, O. Pisanti, G. Mangano and A. Mirizzi, Unveiling secret interactions among sterile neutrinos with big-bang nucleosynthesis, Phys. Rev. D 90 (2014) 113009 [arXiv:1409.1680] [INSPIRE].
A. Mirizzi, G. Mangano, O. Pisanti and N. Saviano, Collisional production of sterile neutrinos via secret interactions and cosmological implications, Phys. Rev. D 91 (2015) 025019 [arXiv:1410.1385] [INSPIRE].
T. Rehagen and G.B. Gelmini, Effects of kination and scalar-tensor cosmologies on sterile neutrinos, JCAP 06 (2014) 044 [arXiv:1402.0607] [INSPIRE].
C.M. Ho and R.J. Scherrer, Sterile Neutrinos and Light Dark Matter Save Each Other, Phys. Rev. D 87 (2013) 065016 [arXiv:1212.1689] [INSPIRE].
KATRIN collaboration, R.G.H. Robertson, KATRIN: an experiment to determine the neutrino mass from the beta decay of tritium, arXiv:1307.5486 [INSPIRE].
B. Audren, J. Lesgourgues, S. Bird, M.G. Haehnelt and M. Viel, Neutrino masses and cosmological parameters from a Euclid-like survey: Markov Chain Monte Carlo forecasts including theoretical errors, JCAP 01 (2013) 026 [arXiv:1210.2194] [INSPIRE].
Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1505.00978
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
About this article
Cite this article
Giunti, C., Zavanin, E.M. Predictions for neutrinoless double-beta decay in the 3+1 sterile neutrino scenario. J. High Energ. Phys. 2015, 171 (2015). https://doi.org/10.1007/JHEP07(2015)171
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP07(2015)171