Abstract
We consider a new Weinberg operator for neutrino mass of the form \( {H}_u{\tilde{H}}_d{L}_i{L}_j \) involving two different Higgs doublets Hu, Hd with opposite hypercharge, where \( \tilde{H}{s}_d \) is the charge conjugated doublet. It may arise from a model where the two Higgs doublets carry the same charge under a U(1)′ gauge group which forbids the usual Weinberg operator but allows the mixed one. The new Weinberg operator may be generated via two right-handed neutrinos oppositely charged under the U(1)′, which may be identified as components of a fourth vector-like family in a complete model. Such a version of the type I seesaw model, which we refer to as type Ib to distinguish it from the usual type Ia seesaw mechanism which yields the usual Weinberg operator, allows the possibility of having potentially large violations of unitarity of the leptonic mixing matrix whose bounds we explore. We also consider the relaxation of the unitarity bounds due to the further addition of a single right-handed neutrino, neutral under U(1)′, yielding a usual type Ia seesaw contribution.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
S. Weinberg, Baryon and lepton nonconserving processes, Phys. Rev. Lett. 43 (1979) 1566 [INSPIRE].
P. Minkowski, μ → eγ at a rate of one out of 109 muon decays?, Phys. Lett. B 67 (1977) 421.
R.N. Mohapatra and G. Senjanović, Neutrino mass and spontaneous parity nonconservation, Phys. Rev. Lett. 44 (1980) 912 [INSPIRE].
T. Yanagida, Horizontal gauge symmetry and masses of neutrinos, Conf. Proc. C 7902131 (1979) 95 [INSPIRE].
M. Gell-Mann, P. Ramond and R. Slansky, Complex spinors and unified theories, Conf. Proc. C 790927 (1979) 315 [arXiv:1306.4669] [INSPIRE].
M. Magg and C. Wetterich, Neutrino mass problem and gauge hierarchy, Phys. Lett. B 94 (1980) 61.
J. Schechter and J.W.F. Valle, Neutrino masses in SU(2) × U(1) theories, Phys. Rev. D 22 (1980) 2227 [INSPIRE].
C. Wetterich, Neutrino masses and the scale of B-L violation, Nucl. Phys. B 187 (1981) 343 [INSPIRE].
G. Lazarides, Q. Shafi and C. Wetterich, Proton lifetime and fermion masses in an SO(10) model, Nucl. Phys. B 181 (1981) 287 [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].
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, Pathways to naturally small neutrino masses, Phys. Rev. Lett. 81 (1998) 1171 [hep-ph/9805219] [INSPIRE].
E. Ma and D.P. Roy, Heavy triplet leptons and new gauge boson, Nucl. Phys. B 644 (2002) 290 [hep-ph/0206150] [INSPIRE].
T. Hambye et al., Constraints on neutrino masses from leptogenesis models, Nucl. Phys. B 695 (2004) 169 [hep-ph/0312203] [INSPIRE].
B. Bajc and G. Senjanović, Seesaw at LHC, JHEP 08 (2007) 014 [hep-ph/0612029] [INSPIRE].
B. Bajc, M. Nemevšek and G. Senjanović, Probing seesaw at LHC, Phys. Rev. D 76 (2007) 055011 [hep-ph/0703080] [INSPIRE].
I. Dorsner and P. Fileviez Perez, Upper bound on the mass of the Type III seesaw triplet in an SU(5) model, JHEP 06 (2007) 029 [hep-ph/0612216] [INSPIRE].
P. Fileviez Perez, Supersymmetric adjoint SU(5), Phys. Rev. D 76 (2007) 071701 [arXiv:0705.3589] [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].
J. Bernabeu et al., Lepton flavor nonconservation at high-energies in a superstring inspired standard model, Phys. Lett. B 187 (1987) 303 [INSPIRE].
M. Malinsky, J.C. Romao and J.W.F. Valle, Novel supersymmetric SO(10) seesaw mechanism, Phys. Rev. Lett. 95 (2005) 161801 [hep-ph/0506296] [INSPIRE].
E. Ma, Neutrino mass: mechanisms and models, arXiv:0905.0221 [INSPIRE].
J.F. Oliver and A. Santamaria, Neutrino masses from operator mixing, Phys. Rev. D 65 (2002) 033003 [hep-ph/0108020] [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].
LHCb collaboration, Test of lepton universality using B + → K + ℓ + ℓ − decays, Phys. Rev. Lett. 113 (2014) 151601 [arXiv:1406.6482] [INSPIRE].
S. Bifani, Search for new physics with b → sℓ + ℓ − decays at LHCb, (2017).
S.F. King, Flavourful Z ′ models for \( {R}_{K^{\left(\ast \right)}} \) , JHEP 08 (2017) 019 [arXiv:1706.06100] [INSPIRE].
S. Raby and A. Trautner, Vectorlike chiral fourth family to explain muon anomalies, Phys. Rev. D 97 (2018) 095006 [arXiv:1712.09360] [INSPIRE].
S.F. King, \( {R}_{K^{\left(\ast \right)}} \) and the origin of Yukawa couplings, JHEP 09 (2018) 069 [arXiv:1806.06780] [INSPIRE].
R.E. Shrock, New tests for, and bounds on, neutrino masses and lepton mixing, Phys. Lett. B 96 (1980) 159.
R.E. Shrock, General theory of weak leptonic and semileptonic decays. 1. Leptonic pseudoscalar meson decays, with associated tests for and bounds on, neutrino masses and lepton mixing, Phys. Rev. D 24 (1981) 1232 [INSPIRE].
R.E. Shrock, General theory of weak processes involving neutrinos. 2. Pure leptonic decays, Phys. Rev. D 24 (1981) 1275 [INSPIRE].
P. Langacker and D. London, Mixing between ordinary and exotic fermions, Phys. Rev. D 38 (1988) 886 [INSPIRE].
S.M. Bilenky and C. Giunti, Seesaw type mixing and muon-neutrino → tau-neutrino oscillations, Phys. Lett. B 300 (1993) 137 [hep-ph/9211269] [INSPIRE].
E. Nardi, E. Roulet and D. Tommasini, Limits on neutrino mixing with new heavy particles, Phys. Lett. B 327 (1994) 319 [hep-ph/9402224] [INSPIRE].
D. Tommasini, G. Barenboim, J. Bernabeu and C. Jarlskog, Nondecoupling of heavy neutrinos and lepton flavor violation, Nucl. Phys. B 444 (1995) 451 [hep-ph/9503228] [INSPIRE].
S. Antusch et al., Unitarity of the leptonic mixing matrix, JHEP 10 (2006) 084 [hep-ph/0607020] [INSPIRE].
S. Antusch, J.P. Baumann and E. Fernandez-Martinez, Non-standard neutrino interactions with matter from physics beyond the standard model, Nucl. Phys. B 810 (2009) 369 [arXiv:0807.1003] [INSPIRE].
C. Biggio, The contribution of fermionic seesaws to the anomalous magnetic moment of leptons, Phys. Lett. B 668 (2008) 378 [arXiv:0806.2558] [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)0ν -decay, JHEP 09 (2010) 108 [arXiv:1007.2378] [INSPIRE].
A. Ibarra, E. Molinaro and S.T. Petcov, Low energy signatures of the TeV scale see-saw mechanism, Phys. Rev. D 84 (2011) 013005 [arXiv:1103.6217] [INSPIRE].
D.N. Dinh, A. Ibarra, E. Molinaro and S.T. Petcov, The μ-e conversion in nuclei, μ→eγ,μ→3e decays and TeV scale see-saw scenarios of neutrino mass generation, JHEP 08 (2012) 125 [Erratum ibid. 09 (2013) 023] [arXiv:1205.4671] [INSPIRE].
R. Alonso, M. Dhen, M.B. Gavela and T. Hambye, Muon conversion to electron in nuclei in type-I seesaw models, JHEP 01 (2013) 118 [arXiv:1209.2679] [INSPIRE].
E. Akhmedov et al., Improving electro-weak fits with TeV-scale sterile neutrinos, JHEP 05 (2013) 081 [arXiv:1302.1872] [INSPIRE].
S. Antusch and O. Fischer, Non-unitarity of the leptonic mixing matrix: present bounds and future sensitivities, JHEP 10 (2014) 094 [arXiv:1407.6607] [INSPIRE].
A. Abada and T. Toma, Electric dipole moments of charged leptons with sterile fermions, JHEP 02 (2016) 174 [arXiv:1511.03265] [INSPIRE].
E. Fernandez-Martinez, J. Hernandez-Garcia, J. Lopez-Pavon and M. Lucente, Loop level constraints on Seesaw neutrino mixing, JHEP 10 (2015) 130 [arXiv:1508.03051] [INSPIRE].
S. Antusch and O. Fischer, Testing sterile neutrino extensions of the standard model at future lepton colliders, JHEP 05 (2015) 053 [arXiv:1502.05915] [INSPIRE].
A. Abada and T. Toma, Electron electric dipole moment in inverse seesaw models, JHEP 08 (2016) 079 [arXiv:1605.07643] [INSPIRE].
E. Fernandez-Martinez, J. Hernandez-Garcia and J. Lopez-Pavon, Global constraints on heavy neutrino mixing, JHEP 08 (2016) 033 [arXiv:1605.08774] [INSPIRE].
J. Herrero-Garcia, N. Rius and A. Santamaria, Higgs lepton flavour violation: UV completions and connection to neutrino masses, JHEP 11 (2016) 084 [arXiv:1605.06091] [INSPIRE].
J.T. Penedo, S.T. Petcov and T. Yanagida, Low-scale seesaw and the CP-violation in neutrino oscillations, Nucl. Phys. B 929 (2018) 377 [arXiv:1712.09922] [INSPIRE].
A. Broncano, M.B. Gavela and E.E. Jenkins, The effective lagrangian for the seesaw model of neutrino mass and leptogenesis, Phys. Lett. B 552 (2003) 177 [Erratum ibid. B 636 (2006) 332] [hep-ph/0210271] [INSPIRE].
S.F. King, Constructing the large mixing angle MNS matrix in seesaw models with right-handed neutrino dominance, JHEP 09 (2002) 011 [hep-ph/0204360] [INSPIRE].
J. Kersten and A.Yu. Smirnov, Right-handed neutrinos at CERN LHC and the mechanism of neutrino mass generation, Phys. Rev. D 76 (2007) 073005 [arXiv:0705.3221] [INSPIRE].
A. Abada et al., Low energy effects of neutrino masses, JHEP 12 (2007) 061 [arXiv:0707.4058] [INSPIRE].
M. Blennow and E. Fernandez-Martinez, Parametrization of seesaw models and light sterile neutrinos, Phys. Lett. B 704 (2011) 223 [arXiv:1107.3992] [INSPIRE].
L.-L. Chau and W.-Y. Keung, Comments on the parametrization of the Kobayashi-Maskawa matrix, Phys. Rev. Lett. 53 (1984) 1802 [INSPIRE].
E. Fernandez-Martinez et al., CP-violation from non-unitary leptonic mixing, Phys. Lett. B 649 (2007) 427 [hep-ph/0703098] [INSPIRE].
M.B. Gavela et al., Minimal flavour seesaw models, JHEP 09 (2009) 038 [arXiv:0906.1461] [INSPIRE].
R. Adhikari and A. Raychaudhuri, Light neutrinos from massless texture and below TeV seesaw scale, Phys. Rev. D 84 (2011) 033002 [arXiv:1004.5111] [INSPIRE].
S.L. Glashow, J. Iliopoulos and L. Maiani, Weak interactions with lepton-hadron symmetry, Phys. Rev. D 2 (1970) 1285 [INSPIRE].
Particle Data Group collaboration, Review of particle physics, Phys. Rev. D 98 (2018) 030001 [INSPIRE].
I. Esteban et al., Global analysis of three-flavour neutrino oscillations: synergies and tensions in the determination of θ 23 , δ CP and the mass ordering, JHEP 01 (2019) 106 [arXiv:1811.05487] [INSPIRE].
A. Falkowski, S.F. King, E. Perdomo and M. Pierre, Flavourful Z ′ portal for vector-like neutrino Dark Matter and \( {R}_{K^{\left(\ast \right)}} \), JHEP 08 (2018) 061 [arXiv:1803.04430] [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: 1903.01474
Rights and permissions
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, 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 licence, and indicate if changes were made.
The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.
To view a copy of this licence, visit https://creativecommons.org/licenses/by/4.0/.
About this article
Cite this article
Hernandez-Garcia, J., King, S.F. New Weinberg operator for neutrino mass and its seesaw origin. J. High Energ. Phys. 2019, 169 (2019). https://doi.org/10.1007/JHEP05(2019)169
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP05(2019)169