Abstract
We consider the minimal seesaw model, the Standard Model extended by two right-handed neutrinos, for explaining the neutrino masses and mixing angles measured in oscillation experiments. When one of right-handed neutrinos is lighter than the electroweak scale, it can give a sizable contribution to neutrinoless double beta (0νββ) decay. We show that the detection of the 0νββ decay by future experiments gives a significant implication to the search for such a light right-handed neutrino.
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G. ’t Hooft, Symmetry Breaking Through Bell-Jackiw Anomalies, Phys. Rev. Lett. 37 (1976) 8 [INSPIRE].
G. ’t Hooft, Computation of the Quantum Effects Due to a Four-Dimensional Pseudoparticle, Phys. Rev. D 14 (1976) 3432 [Erratum ibid. 18 (1978) 2199] [INSPIRE].
S. Dimopoulos and L. Susskind, On the Baryon Number of the Universe, Phys. Rev. D 18 (1978) 4500 [INSPIRE].
N.S. Manton, Topology in the Weinberg-Salam Theory, Phys. Rev. D 28 (1983) 2019 [INSPIRE].
F.R. Klinkhamer and N.S. Manton, A Saddle Point Solution in the Weinberg-Salam Theory, Phys. Rev. D 30 (1984) 2212 [INSPIRE].
V.A. Kuzmin, V.A. Rubakov and M.E. Shaposhnikov, On the Anomalous Electroweak Baryon Number Nonconservation in the Early Universe, Phys. Lett. B 155 (1985) 36 [INSPIRE].
P. Minkowski, μ → eγ at a Rate of One Out of 109 Muon Decays?, Phys. Lett. B 67 (1977) 421 [INSPIRE].
T. Yanagida, Horizontal gauge symmetry and masses of neutrinos, Conf. Proc. C 7902131 (1979) 95 [INSPIRE].
T. Yanagida, Horizontal Symmetry and Masses of Neutrinos, Prog. Theor. Phys. 64 (1980) 1103 [INSPIRE].
P. Ramond, The Family Group in Grand Unified Theories, in the proceedings of the International Symposium on Fundamentals of Quantum Theory and Quantum Field Theory, Palm Coast, FL, U.S.A., 25 February – 2 March 1979, [hep-ph/9809459] [INSPIRE].
M. Gell-Mann, P. Ramond and R. Slansky, Complex Spinors and Unified Theories, Conf. Proc. C 790927 (1979) 315 [arXiv:1306.4669] [INSPIRE].
S.L. Glashow, The future of elementary particle physics, in Proc. of the Cargése Summer Institute on Quarks and Leptons, Cargése, July 9–29, 1979, eds. M. Lévy et al., Plenum, 1980, New York, U.S.A., p. 707.
R.N. Mohapatra and G. Senjanovic, Neutrino Mass and Spontaneous Parity Nonconservation, Phys. Rev. Lett. 44 (1980) 912 [INSPIRE].
M. Doi, T. Kotani and E. Takasugi, Double beta Decay and Majorana Neutrino, Prog. Theor. Phys. Suppl. 83 (1985) 1 [INSPIRE].
H. Päs and W. Rodejohann, Neutrinoless Double Beta Decay, New J. Phys. 17 (2015) 115010 [arXiv:1507.00170] [INSPIRE].
S. Dell’Oro, S. Marcocci, M. Viel and F. Vissani, Neutrinoless double beta decay: 2015 review, Adv. High Energy Phys. 2016 (2016) 2162659 [arXiv:1601.07512] [INSPIRE].
M.J. Dolinski, A.W.P. Poon and W. Rodejohann, Neutrinoless Double-Beta Decay: Status and Prospects, Ann. Rev. Nucl. Part. Sci. 69 (2019) 219 [arXiv:1902.04097] [INSPIRE].
P.D. Bolton, F.F. Deppisch, L. Gráf and F. Šimkovic, Two-Neutrino Double Beta Decay with Sterile Neutrinos, Phys. Rev. D 103 (2021) 055019 [arXiv:2011.13387] [INSPIRE].
KamLAND-Zen collaboration, Search for Majorana Neutrinos near the Inverted Mass Hierarchy Region with KamLAND-Zen, Phys. Rev. Lett. 117 (2016) 082503 [Addendum ibid. 117 (2016) 109903] [arXiv:1605.02889] [INSPIRE].
J. Lopez-Pavon, S. Pascoli and C.-F. Wong, Can heavy neutrinos dominate neutrinoless double beta decay?, Phys. Rev. D 87 (2013) 093007 [arXiv:1209.5342] [INSPIRE].
D. Gorbunov and I. Timiryasov, Testing νMSM with indirect searches, Phys. Lett. B 745 (2015) 29 [arXiv:1412.7751] [INSPIRE].
J. Lopez-Pavon, E. Molinaro and S.T. Petcov, Radiative Corrections to Light Neutrino Masses in Low Scale Type I Seesaw Scenarios and Neutrinoless Double Beta Decay, JHEP 11 (2015) 030 [arXiv:1506.05296] [INSPIRE].
M. Drewes and B. Garbrecht, Combining experimental and cosmological constraints on heavy neutrinos, Nucl. Phys. B 921 (2017) 250 [arXiv:1502.00477] [INSPIRE].
M. Drewes and S. Eijima, Neutrinoless double β decay and low scale leptogenesis, Phys. Lett. B 763 (2016) 72 [arXiv:1606.06221] [INSPIRE].
T. Asaka, S. Eijima and H. Ishida, On neutrinoless double beta decay in the νMSM, Phys. Lett. B 762 (2016) 371 [arXiv:1606.06686] [INSPIRE].
M. Chrzaszcz et al., A frequentist analysis of three right-handed neutrinos with GAMBIT, Eur. Phys. J. C 80 (2020) 569 [arXiv:1908.02302] [INSPIRE].
P.D. Bolton, F.F. Deppisch and P.S. Bhupal Dev, Neutrinoless double beta decay versus other probes of heavy sterile neutrinos, JHEP 03 (2020) 170 [arXiv:1912.03058] [INSPIRE].
A.S. Riis and S. Hannestad, Detecting sterile neutrinos with KATRIN like experiments, JCAP 02 (2011) 011 [arXiv:1008.1495] [INSPIRE].
S. Mertens et al., Sensitivity of Next-Generation Tritium Beta-Decay Experiments for keV-Scale Sterile Neutrinos, JCAP 02 (2015) 020 [arXiv:1409.0920] [INSPIRE].
A. Abada, Á. Hernández-Cabezudo and X. Marcano, Beta and Neutrinoless Double Beta Decays with KeV Sterile Fermions, JHEP 01 (2019) 041 [arXiv:1807.01331] [INSPIRE].
T. Asaka, H. Ishida and K. Tanaka, Hiding neutrinoless double beta decay in the minimal seesaw mechanism, Phys. Rev. D 103 (2021) 015014 [arXiv:2012.12564] [INSPIRE].
T. Asaka, H. Ishida and K. Tanaka, What if a specific neutrinoless double beta decay is absent?, PTEP 2021 (2021) 063B01 [arXiv:2012.13186] [INSPIRE].
A. Halprin, S.T. Petcov and S.P. Rosen, Effects of Light and Heavy Majorana Neutrinos in Neutrinoless Double Beta Decay, Phys. Lett. B 125 (1983) 335 [INSPIRE].
C.N. Leung and S.T. Petcov, On the Possibility of Destructive Interference Between Light and Heavy Majorana Neutrinos in Neutrinoless Double beta Decay, Phys. Lett. B 145 (1984) 416 [INSPIRE].
M. Blennow, E. Fernandez-Martinez, J. Lopez-Pavon and J. Menendez, Neutrinoless double beta decay in seesaw models, JHEP 07 (2010) 096 [arXiv:1005.3240] [INSPIRE].
W. Dekens et al., Sterile neutrinos and neutrinoless double beta decay in effective field theory, JHEP 06 (2020) 097 [arXiv:2002.07182] [INSPIRE].
J.A. Casas and A. Ibarra, Oscillating neutrinos and μ → e, γ, Nucl. Phys. B 618 (2001) 171 [hep-ph/0103065] [INSPIRE].
A. Abada et al., Flavour Matters in Leptogenesis, JHEP 09 (2006) 010 [hep-ph/0605281] [INSPIRE].
A. Faessler, M. González, S. Kovalenko and F. Šimkovic, Arbitrary mass Majorana neutrinos in neutrinoless double beta decay, Phys. Rev. D 90 (2014) 096010 [arXiv:1408.6077] [INSPIRE].
J. Barea, J. Kotila and F. Iachello, Limits on sterile neutrino contributions to neutrinoless double beta decay, Phys. Rev. D 92 (2015) 093001 [arXiv:1509.01925] [INSPIRE].
A. Ibarra and G.G. Ross, Neutrino phenomenology: The case of two right-handed neutrinos, Phys. Lett. B 591 (2004) 285 [hep-ph/0312138] [INSPIRE].
I. Esteban et al., The fate of hints: updated global analysis of three-flavor neutrino oscillations, JHEP 09 (2020) 178 [arXiv:2007.14792] [INSPIRE].
PIENU collaboration, Search for Massive Neutrinos in the Decay π → eν, Phys. Rev. D 84 (2011) 052002 [arXiv:1106.4055] [INSPIRE].
PIENU collaboration, Improved search for heavy neutrinos in the decay π → eν, Phys. Rev. D 97 (2018) 072012 [arXiv:1712.03275] [INSPIRE].
NA62 collaboration, Search for heavy neutral lepton production in K+ decays to positrons, Phys. Lett. B 807 (2020) 135599 [arXiv:2005.09575] [INSPIRE].
FCC-ee study Team collaboration, Search for Heavy Right Handed Neutrinos at the FCC-ee, Nucl. Part. Phys. Proc. 273-275 (2016) 1883 [arXiv:1411.5230] [INSPIRE].
SHiP collaboration, Sensitivity of the SHiP experiment to Heavy Neutral Leptons, JHEP 04 (2019) 077 [arXiv:1811.00930] [INSPIRE].
I. Krasnov, DUNE prospects in the search for sterile neutrinos, Phys. Rev. D 100 (2019) 075023 [arXiv:1902.06099] [INSPIRE].
MATHUSLA collaboration, An Update to the Letter of Intent for MATHUSLA: Search for Long-Lived Particles at the HL-LHC, arXiv:2009.01693 [INSPIRE].
Acknowledgments
The work of T.A. was partially supported by JSPS KAKENHI Grants No. 17K05410, No. 18H03708, No. 19H05097, and No. 20H01898. The work of H.I. was supported by JSPS KAKENHI Grant No. 18H03708.
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Asaka, T., Ishida, H. & Tanaka, K. Neutrinoless double beta decays tell nature of right-handed neutrinos. J. High Energ. Phys. 2023, 62 (2023). https://doi.org/10.1007/JHEP07(2023)062
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DOI: https://doi.org/10.1007/JHEP07(2023)062