Abstract
We investigate the radiative generation of lepton masses and mixing angles in the Standard Model extended by one right-handed neutrino and one extra Higgs doublet. We assume approximate rank-1 Yukawa couplings at a high energy scale and we calculate the one loop corrected charged lepton and neutrino mass matrices at the low energy scale. We find that quantum effects generate, for typical high energy parameters, a hierarchy between the muon and the tau mass, a hierarchy between the solar and the atmospheric mass splittings, and a pattern of leptonic mixing angles in qualitative agreement with experiments.
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References
G.L. Fogli, E. Lisi, A. Marrone, D. Montanino, A. Palazzo and A.M. Rotunno, Global analysis of neutrino masses, mixings and phases: entering the era of leptonic CP-violation searches, Phys. Rev. D 86 (2012) 013012 [arXiv:1205.5254] [INSPIRE].
M.C. Gonzalez-Garcia, M. Maltoni, J. Salvado and T. Schwetz, Global fit to three neutrino mixing: critical look at present precision, JHEP 12 (2012) 123 [arXiv:1209.3023] [INSPIRE].
P. Minkowski, μ → eγ at a rate of one out of 1-billion muon decays?, Phys. Lett. B 67 (1977) 421 [INSPIRE].
M. Gell-Mann, P. Ramond and R. Slansky, Complex Spinors and Unified Theories, in Proceedings of the Supergravity Stony Brook Workshop, P. Van Nieuwenhuizen and D. Freedman eds., New York, U.S.A. (1979), arXiv:1306.4669 [INSPIRE].
T. Yanagida, Horizontal gauge symmetry and masses of neutrinos, in Proceedings of the Workshop on Unified Theories and Baryon Number in the Universe, A. Sawada and A. Sugamoto eds., Tsukuba, Japan (1979).
R.N. Mohapatra and G. Senjanović, Neutrino Mass and Spontaneous Parity Violation, Phys. Rev. Lett. 44 (1980) 912 [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].
S.L. Glashow, The Future Of Elementary Particle Physics, NATO Sci. Ser. B 61 (1980) 687 [HUTP-79-A059].
J. Schechter and J.W.F. Valle, Neutrino Masses in SU(2) × U(1) Theories, Phys. Rev. D 22 (1980) 2227 [INSPIRE].
S.M. Bilenky, S.T. Petcov and B. Pontecorvo, Lepton Mixing, μ → e + γ Decay and Neutrino Oscillations, Phys. Lett. B 67 (1977) 309 [INSPIRE].
T.P. Cheng and L.-F. Li, μ → eγ in Theories With Dirac and Majorana Neutrino Mass Terms, Phys. Rev. Lett. 45 (1980) 1908 [INSPIRE].
W.J. Marciano and A.I. Sanda, Exotic Decays of the Muon and Heavy Leptons in Gauge Theories, Phys. Lett. B 67 (1977) 303 [INSPIRE].
B.W. Lee, S. Pakvasa, R.E. Shrock and H. Sugawara, Muon and Electron Number Nonconservation in a V − A Six Quark Model, Phys. Rev. Lett. 38 (1977) 937 [Erratum ibid. 38 (1977) 1230] [INSPIRE].
MEG collaboration, J. Adam et al., New constraint on the existence of the μ + → e + γ decay, Phys. Rev. Lett. 110 (2013) 201801 [arXiv:1303.0754] [INSPIRE].
BaBar collaboration, B. Aubert et al., Searches for Lepton Flavor Violation in the Decays τ ± →e ± γ and τ ± →μ ± γ, Phys. Rev. Lett. 104 (2010) 021802 [arXiv:0908.2381] [INSPIRE].
J.A. Casas, A. Ibarra and F. Jimenez-Alburquerque, Hints on the high-energy seesaw mechanism from the low-energy neutrino spectrum, JHEP 04 (2007) 064 [hep-ph/0612289] [INSPIRE].
A. Ibarra and C. Simonetto, Understanding neutrino properties from decoupling right-handed neutrinos and extra Higgs doublets, JHEP 11 (2011) 022 [arXiv:1107.2386] [INSPIRE].
W. Grimus and H. Neufeld, Three neutrino mass spectrum from combining seesaw and radiative neutrino mass mechanisms, Phys. Lett. B 486 (2000) 385 [hep-ph/9911465] [INSPIRE].
A. Ibarra and A. Solaguren-Beascoa, Radiative Generation of Quark Masses and Mixing Angles in the Two Higgs Doublet Model, Phys. Lett. B 736 (2014) 16 [arXiv:1403.2382] [INSPIRE].
F.R. Joaquim and J.T. Penedo, Radiative charged-lepton mass generation in multi-Higgs doublet models, Phys. Rev. D 90 (2014) 033011 [arXiv:1403.4925] [INSPIRE].
P. Paradisi, Higgs-mediated τ → μ and τ → e transitions in II Higgs doublet model and supersymmetry, JHEP 02 (2006) 050 [hep-ph/0508054] [INSPIRE].
J. Hisano, S. Sugiyama, M. Yamanaka and M.J.S. Yang, Reevaluation of Higgs-Mediated μ − e Transition in the MSSM, Phys. Lett. B 694 (2011) 380 [arXiv:1005.3648] [INSPIRE].
W. Grimus and L. Lavoura, Renormalization of the neutrino mass operators in the multi-Higgs-doublet standard model, Eur. Phys. J. C 39 (2005) 219 [hep-ph/0409231] [INSPIRE].
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Ibarra, A., Solaguren-Beascoa, A. Lepton parameters in the see-saw model extended by one extra Higgs doublet. J. High Energ. Phys. 2014, 89 (2014). https://doi.org/10.1007/JHEP11(2014)089
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DOI: https://doi.org/10.1007/JHEP11(2014)089