Abstract
After developing a general criterion for deciding which neutrino mass models belong to the category of inverse seesaw models, we apply it to obtain the Dirac analogue of the canonical Majorana inverse seesaw model. We then generalize the inverse seesaw model and obtain a class of inverse seesaw mechanisms both for Majorana and Dirac neutrinos. We further show that many of the models have double or multiple suppressions coming from tiny symmetry breaking “μ-parameters”. These models can be tested both in colliders and with the observation of lepton flavour violating processes.
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P. F. de Salas, D. V. Forero, C. A. Ternes, M. Tortola and J. W. F. Valle, Status of neutrino oscillations 2018: 3σ hint for normal mass ordering and improved CP sensitivity, Phys. Lett. B 782 (2018) 633 [arXiv:1708.01186] [INSPIRE].
P. F. de Salas et al., 2020 global reassessment of the neutrino oscillation picture, JHEP 02 (2021) 071 [arXiv:2006.11237] [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].
R. N. Mohapatra and G. Senjanović, Neutrino mass and spontaneous parity nonconservation, Phys. Rev. Lett. 44 (1980) 912 [INSPIRE].
M. Gell-Mann, P. Ramond and R. Slansky, Complex spinors and unified theories, Conf. Proc. C 790927 (1979) 315 [arXiv:1306.4669] [INSPIRE].
R. N. Mohapatra and G. Senjanović, Neutrino masses and mixings in gauge models with spontaneous parity violation, Phys. Rev. D 23 (1981) 165 [INSPIRE].
J. Schechter and J. W. F. Valle, Neutrino masses in SU(2) × U(1) theories, Phys. Rev. D 22 (1980) 2227 [INSPIRE].
R. Foot, H. Lew, X. G. He and G. C. Joshi, Seesaw neutrino masses induced by a triplet of leptons, Z. Phys. C 44 (1989) 441 [INSPIRE].
E. Ma and R. Srivastava, Dirac or inverse seesaw neutrino masses with B − L gauge symmetry and S3 flavor symmetry, Phys. Lett. B 741 (2015) 217 [arXiv:1411.5042] [INSPIRE].
E. Ma, N. Pollard, R. Srivastava and M. Zakeri, Gauge B − L model with residual Z3 symmetry, Phys. Lett. B 750 (2015) 135 [arXiv:1507.03943] [INSPIRE].
S. Centelles Chuliá, E. Ma, R. Srivastava and J. W. F. Valle, Dirac neutrinos and dark matter stability from lepton quarticity, Phys. Lett. B 767 (2017) 209 [arXiv:1606.04543] [INSPIRE].
A. Zee, A theory of lepton number violation, neutrino Majorana mass, and oscillation, Phys. Lett. B 93 (1980) 389 [Erratum ibid. 95 (1980) 461] [INSPIRE].
T. P. Cheng and L.-F. Li, Neutrino masses, mixings and oscillations in SU(2) × U(1) models of electroweak interactions, Phys. Rev. D 22 (1980) 2860 [INSPIRE].
A. Zee, Quantum numbers of Majorana neutrino masses, Nucl. Phys. B 264 (1986) 99 [INSPIRE].
K. S. Babu, Model of ‘calculable’ Majorana neutrino masses, Phys. Lett. B 203 (1988) 132 [INSPIRE].
E. Ma, Verifiable radiative seesaw mechanism of neutrino mass and dark matter, Phys. Rev. D 73 (2006) 077301 [hep-ph/0601225] [INSPIRE].
Y. Cai, J. Herrero-García, M. A. Schmidt, A. Vicente and R. R. Volkas, From the trees to the forest: a review of radiative neutrino mass models, Front. in Phys. 5 (2017) 63 [arXiv:1706.08524] [INSPIRE].
C. Bonilla, E. Ma, E. Peinado and J. W. F. Valle, Two-loop Dirac neutrino mass and WIMP dark matter, Phys. Lett. B 762 (2016) 214 [arXiv:1607.03931] [INSPIRE].
C. Bonilla, S. Centelles-Chuliá, R. Cepedello, E. Peinado and R. Srivastava, Dark matter stability and Dirac neutrinos using only Standard Model symmetries, Phys. Rev. D 101 (2020) 033011 [arXiv:1812.01599] [INSPIRE].
R. N. Mohapatra and J. W. F. Valle, Neutrino mass and baryon number nonconservation in superstring models, Phys. Rev. D 34 (1986) 1642 [INSPIRE].
E. K. Akhmedov, M. Lindner, E. Schnapka and J. W. F. Valle, Dynamical left-right symmetry breaking, Phys. Rev. D 53 (1996) 2752 [hep-ph/9509255] [INSPIRE].
G. ’t Hooft, Naturalness, chiral symmetry, and spontaneous chiral symmetry breaking, NATO Sci. Ser. B 59 (1980) 135 [INSPIRE].
S. Centelles Chuliá, R. Srivastava and J. W. F. Valle, Seesaw roadmap to neutrino mass and dark matter, Phys. Lett. B 781 (2018) 122 [arXiv:1802.05722] [INSPIRE].
G. Anamiati, O. Castillo-Felisola, R. M. Fonseca, J. C. Helo and M. Hirsch, High-dimensional neutrino masses, JHEP 12 (2018) 066 [arXiv:1806.07264] [INSPIRE].
S. Weinberg, Baryon and lepton nonconserving processes, Phys. Rev. Lett. 43 (1979) 1566 [INSPIRE].
Y. Chikashige, R. N. Mohapatra and R. D. Peccei, Are there real Goldstone bosons associated with broken lepton number?, Phys. Lett. B 98 (1981) 265 [INSPIRE].
J. Schechter and J. W. F. Valle, Neutrino decay and spontaneous violation of lepton number, Phys. Rev. D 25 (1982) 774 [INSPIRE].
M. B. Krauss, T. Ota, W. Porod and W. Winter, Neutrino mass from higher than d = 5 effective operators in SUSY, and its test at the LHC, Phys. Rev. D 84 (2011) 115023 [arXiv:1109.4636] [INSPIRE].
S. Centelles Chuliá, R. Srivastava and J. W. F. Valle, Seesaw Dirac neutrino mass through dimension-six operators, Phys. Rev. D 98 (2018) 035009 [arXiv:1804.03181] [INSPIRE].
C.-Y. Yao and G.-J. Ding, Systematic study of one-loop Dirac neutrino masses and viable dark matter candidates, Phys. Rev. D 96 (2017) 095004 [Erratum ibid. 98 (2018) 039901] [arXiv:1707.09786] [INSPIRE].
C.-Y. Yao and G.-J. Ding, Systematic analysis of Dirac neutrino masses from a dimension five operator, Phys. Rev. D 97 (2018) 095042 [arXiv:1802.05231] [INSPIRE].
S. Centelles Chuliá, R. Cepedello, E. Peinado and R. Srivastava, Systematic classification of two loop d = 4 Dirac neutrino mass models and the Diracness-dark matter stability connection, JHEP 10 (2019) 093 [arXiv:1907.08630] [INSPIRE].
D. Borah and B. Karmakar, A4 flavour model for Dirac neutrinos: type I and inverse seesaw, Phys. Lett. B 780 (2018) 461 [arXiv:1712.06407] [INSPIRE].
A. Abada and M. Lucente, Looking for the minimal inverse seesaw realisation, Nucl. Phys. B 885 (2014) 651 [arXiv:1401.1507] [INSPIRE].
N. Rojas, R. Srivastava and J. W. F. Valle, Scotogenic origin of the inverse seesaw mechanism, arXiv:1907.07728 [INSPIRE].
F. Bazzocchi, D. G. Cerdeno, C. Muñoz and J. W. F. Valle, Calculable inverse-seesaw neutrino masses in supersymmetry, Phys. Rev. D 81 (2010) 051701 [arXiv:0907.1262] [INSPIRE].
F. Bazzocchi, Minimal dynamical inverse seesaw, Phys. Rev. D 83 (2011) 093009 [arXiv:1011.6299] [INSPIRE].
M. Hirsch, R. Srivastava and J. W. F. Valle, Can one ever prove that neutrinos are Dirac particles?, Phys. Lett. B 781 (2018) 302 [arXiv:1711.06181] [INSPIRE].
J. C. Montero and V. Pleitez, Gauging U(1) symmetries and the number of right-handed neutrinos, Phys. Lett. B 675 (2009) 64 [arXiv:0706.0473] [INSPIRE].
A. Abada, C. Biggio, F. Bonnet, M. B. Gavela and T. Hambye, Low energy effects of neutrino masses, JHEP 12 (2007) 061 [arXiv:0707.4058] [INSPIRE].
M. B. Gavela, T. Hambye, D. Hernandez and P. Hernández, Minimal flavour seesaw models, JHEP 09 (2009) 038 [arXiv:0906.1461] [INSPIRE].
D. Ibáñez, S. Morisi and J. W. F. Valle, Inverse tri-bimaximal type-III seesaw and lepton flavor violation, Phys. Rev. D 80 (2009) 053015 [arXiv:0907.3109] [INSPIRE].
E. Ma, Inverse seesaw neutrino mass from lepton triplets in the U(1)Σ model, Mod. Phys. Lett. A 24 (2009) 2491 [arXiv:0905.2972] [INSPIRE].
O. J. P. Eboli, J. Gonzalez-Fraile and M. C. Gonzalez-Garcia, Neutrino masses at LHC: minimal lepton flavour violation in type-III see-saw, JHEP 12 (2011) 009 [arXiv:1108.0661] [INSPIRE].
S. Morisi, E. Peinado and A. Vicente, Flavor origin of R-parity, J. Phys. G 40 (2013) 085004 [arXiv:1212.4145] [INSPIRE].
J. A. Aguilar-Saavedra, P. M. Boavida and F. R. Joaquim, Flavored searches for type-III seesaw mechanism at the LHC, Phys. Rev. D 88 (2013) 113008 [arXiv:1308.3226] [INSPIRE].
S. S. C. Law and K. L. McDonald, Generalized inverse seesaw mechanisms, Phys. Rev. D 87 (2013) 113003 [arXiv:1303.4887] [INSPIRE].
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ArXiv ePrint: 2011.06609
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Chuliá, S.C., Srivastava, R. & Vicente, A. The inverse seesaw family: Dirac and Majorana. J. High Energ. Phys. 2021, 248 (2021). https://doi.org/10.1007/JHEP03(2021)248
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DOI: https://doi.org/10.1007/JHEP03(2021)248