Abstract
The Inverse Seesaw mechanism is dynamically realised within the Minimal Lepton Flavour Violation context. Lepton number, whose breaking is spontaneously realised, is generalised to a global Abelian factor of the whole flavour symmetry, that also plays the role of the Peccei-Quinn symmetry. The associated Goldstone boson is a Majoraxion that solves the Strong CP problem and represents a Dark Matter candidate.
Three distinct scenarios are identified in terms of flavour symmetry and transformation properties of the exotic neutral leptons that enrich the Standard Model spectrum. The associated phenomenology is studied, focusing on the deviations from unitarity of the PMNS mixing matrix. The strongest constraints arise from the determination of the number of active neutrinos through the invisible width of the Z, the comparison of the measured W boson mass with its prediction in terms of the Fermi constant from muon decay, and the null searches for the radiative rare muon decay and μ → e conversion in nuclei. The heavy neutral leptons may have masses of a few TeV, leaving open the possibility for a direct detection at future colliders.
The impact of the recent measurement of the W mass at the CDF II detector has also been considered, which, in one of the scenarios, points to a sharp prediction for the masses of the heavy neutral leptons at about 2 − 3 TeV.
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].
D. Wyler and L. Wolfenstein, Massless neutrinos in left-right symmetric models, Nucl. Phys. B 218 (1983) 205 [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, A. Santamaria, J. Vidal, A. Mendez and J.W.F. Valle, Lepton flavor nonconservation at high-energies in a superstring inspired standard model, Phys. Lett. B 187 (1987) 303 [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. 636 (2006) 332] [hep-ph/0210271] [INSPIRE].
J. Kersten and A.Y. 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, 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].
R.S. Chivukula and H. Georgi, Composite technicolor standard model, Phys. Lett. B 188 (1987) 99 [INSPIRE].
G. D’Ambrosio, G.F. Giudice, G. Isidori and A. Strumia, Minimal flavor violation: an effective field theory approach, Nucl. Phys. B 645 (2002) 155 [hep-ph/0207036] [INSPIRE].
V. Cirigliano, B. Grinstein, G. Isidori and M.B. Wise, Minimal flavor violation in the lepton sector, Nucl. Phys. B 728 (2005) 121 [hep-ph/0507001] [INSPIRE].
S. Davidson and F. Palorini, Various definitions of minimal flavour violation for leptons, Phys. Lett. B 642 (2006) 72 [hep-ph/0607329] [INSPIRE].
R. Alonso, G. Isidori, L. Merlo, L.A. Muñoz and E. Nardi, Minimal flavour violation extensions of the seesaw, JHEP 06 (2011) 037 [arXiv:1103.5461] [INSPIRE].
P. Minkowski, μ → eγ at a rate of one out of 109 muon decays?, Phys. Lett. B 67 (1977) 421 [INSPIRE].
M. Gell-Mann, P. Ramond and R. Slansky, Complex spinors and unified theories, Conf. Proc. C 790927 (1979) 315 [arXiv:1306.4669] [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].
A.L. Kagan, G. Perez, T. Volansky and J. Zupan, General minimal flavor violation, Phys. Rev. D 80 (2009) 076002 [arXiv:0903.1794] [INSPIRE].
G. Isidori, Y. Nir and G. Perez, Flavor physics constraints for physics beyond the Standard Model, Ann. Rev. Nucl. Part. Sci. 60 (2010) 355 [arXiv:1002.0900] [INSPIRE].
R.K. Ellis et al., Physics briefing book: input for the European strategy for particle physics update 2020, arXiv:1910.11775 [INSPIRE].
V. Cirigliano and B. Grinstein, Phenomenology of minimal lepton flavor violation, Nucl. Phys. B 752 (2006) 18 [hep-ph/0601111] [INSPIRE].
B. Grinstein, V. Cirigliano, G. Isidori and M.B. Wise, Grand unification and the principle of minimal flavor violation, Nucl. Phys. B 763 (2007) 35 [hep-ph/0608123] [INSPIRE].
P. Paradisi and D.M. Straub, The SUSY CP problem and the MFV principle, Phys. Lett. B 684 (2010) 147 [arXiv:0906.4551] [INSPIRE].
B. Grinstein, M. Redi and G. Villadoro, Low scale flavor gauge symmetries, JHEP 11 (2010) 067 [arXiv:1009.2049] [INSPIRE].
T. Feldmann, See-saw masses for quarks and leptons in SU(5), JHEP 04 (2011) 043 [arXiv:1010.2116] [INSPIRE].
D. Guadagnoli, R.N. Mohapatra and I. Sung, Gauged flavor group with left-right symmetry, JHEP 04 (2011) 093 [arXiv:1103.4170] [INSPIRE].
A.J. Buras, L. Merlo and E. Stamou, The impact of flavour changing neutral gauge bosons on \( \overline{B} \) → Xsγ, JHEP 08 (2011) 124 [arXiv:1105.5146] [INSPIRE].
A.J. Buras, M.V. Carlucci, L. Merlo and E. Stamou, Phenomenology of a gauged SU(3)3 flavour model, JHEP 03 (2012) 088 [arXiv:1112.4477] [INSPIRE].
R. Alonso, M.B. Gavela, L. Merlo, S. Rigolin and J. Yepes, Minimal flavour violation with strong Higgs dynamics, JHEP 06 (2012) 076 [arXiv:1201.1511] [INSPIRE].
R. Alonso, M.B. Gavela, L. Merlo, S. Rigolin and J. Yepes, Flavor with a light dynamical “Higgs particle”, Phys. Rev. D 87 (2013) 055019 [arXiv:1212.3307] [INSPIRE].
L. Lopez-Honorez and L. Merlo, Dark matter within the minimal flavour violation ansatz, Phys. Lett. B 722 (2013) 135 [arXiv:1303.1087] [INSPIRE].
R. Barbieri, D. Buttazzo, F. Sala and D.M. Straub, Flavour physics and flavour symmetries after the first LHC phase, JHEP 05 (2014) 105 [arXiv:1402.6677] [INSPIRE].
R. Alonso, E. Fernandez Martinez, M.B. Gavela, B. Grinstein, L. Merlo and P. Quilez, Gauged lepton flavour, JHEP 12 (2016) 119 [arXiv:1609.05902] [INSPIRE].
A. Crivellin, J. Fuentes-Martin, A. Greljo and G. Isidori, Lepton flavor non-universality in B decays from dynamical Yukawas, Phys. Lett. B 766 (2017) 77 [arXiv:1611.02703] [INSPIRE].
D.N. Dinh, L. Merlo, S.T. Petcov and R. Vega-Álvarez, Revisiting minimal lepton flavour violation in the light of leptonic CP-violation, JHEP 07 (2017) 089 [arXiv:1705.09284] [INSPIRE].
L. Merlo and S. Rosauro-Alcaraz, Predictive leptogenesis from minimal lepton flavour violation, JHEP 07 (2018) 036 [arXiv:1801.03937] [INSPIRE].
F. Arias-Aragon, E. Fernandez-Martinez, M. Gonzalez-Lopez and L. Merlo, Neutrino masses and Hubble tension via a Majoron in MFV, Eur. Phys. J. C 81 (2021) 28 [arXiv:2009.01848] [INSPIRE].
J. Alonso-González, L. Merlo and S. Pokorski, A new bound on CP-violation in the τ lepton Yukawa coupling and electroweak baryogenesis, JHEP 06 (2021) 166 [arXiv:2103.16569] [INSPIRE].
J. Alonso-Gonzalez, A. de Giorgi, L. Merlo and S. Pokorski, Searching for BSM physics in Yukawa couplings and flavour symmetries, JHEP 05 (2022) 041 [arXiv:2109.07490] [INSPIRE].
T. Feldmann, M. Jung and T. Mannel, Sequential flavour symmetry breaking, Phys. Rev. D 80 (2009) 033003 [arXiv:0906.1523] [INSPIRE].
R. Alonso, M.B. Gavela, L. Merlo and S. Rigolin, On the scalar potential of minimal flavour violation, JHEP 07 (2011) 012 [arXiv:1103.2915] [INSPIRE].
E. Nardi, Naturally large Yukawa hierarchies, Phys. Rev. D 84 (2011) 036008 [arXiv:1105.1770] [INSPIRE].
R. Alonso, M.B. Gavela, D. Hernandez and L. Merlo, On the potential of leptonic minimal flavour violation, Phys. Lett. B 715 (2012) 194 [arXiv:1206.3167] [INSPIRE].
R. Alonso, M.B. Gavela, D. Hernández, L. Merlo and S. Rigolin, Leptonic dynamical Yukawa couplings, JHEP 08 (2013) 069 [arXiv:1306.5922] [INSPIRE].
R. Alonso, M.B. Gavela, G. Isidori and L. Maiani, Neutrino mixing and masses from a minimum principle, JHEP 11 (2013) 187 [arXiv:1306.5927] [INSPIRE].
F. Arias-Aragón, C. Bouthelier-Madre, J.M. Cano and L. Merlo, Data driven flavour model, Eur. Phys. J. C 80 (2020) 854 [arXiv:2003.05941] [INSPIRE].
M.J. Dolan, T.P. Dutka and R.R. Volkas, Low-scale leptogenesis with minimal lepton flavor violation, Phys. Rev. D 99 (2019) 123508 [arXiv:1812.11964] [INSPIRE].
E. Ma, Radiative inverse seesaw mechanism for nonzero neutrino mass, Phys. Rev. D 80 (2009) 013013 [arXiv:0904.4450] [INSPIRE].
F. Bazzocchi, Minimal dynamical inverse see saw, Phys. Rev. D 83 (2011) 093009 [arXiv:1011.6299] [INSPIRE].
V. De Romeri, E. Fernandez-Martinez, J. Gehrlein, P.A.N. Machado and V. Niro, Dark matter and the elusive Z′ in a dynamical inverse seesaw scenario, JHEP 10 (2017) 169 [arXiv:1707.08606] [INSPIRE].
S. Mandal, J.C. Romão, R. Srivastava and J.W.F. Valle, Dynamical inverse seesaw mechanism as a simple benchmark for electroweak breaking and Higgs boson studies, JHEP 07 (2021) 029 [arXiv:2103.02670] [INSPIRE].
E. Fernandez-Martinez, M. Pierre, E. Pinsard and S. Rosauro-Alcaraz, Inverse seesaw, dark matter and the Hubble tension, Eur. Phys. J. C 81 (2021) 954 [arXiv:2106.05298] [INSPIRE].
R.D. Peccei and H.R. Quinn, CP conservation in the presence of instantons, Phys. Rev. Lett. 38 (1977) 1440 [INSPIRE].
F. Wilczek, Problem of strong P and T invariance in the presence of instantons, Phys. Rev. Lett. 40 (1978) 279 [INSPIRE].
S. Weinberg, A new light boson?, Phys. Rev. Lett. 40 (1978) 223 [INSPIRE].
F. Arias-Aragon and L. Merlo, The minimal flavour violating axion, JHEP 10 (2017) 168 [Erratum ibid. 11 (2019) 152] [arXiv:1709.07039] [INSPIRE].
CDF collaboration, High-precision measurement of the W boson mass with the CDF II detector, Science 376 (2022) 170 [INSPIRE].
E. Bertuzzo, P. Di Bari, F. Feruglio and E. Nardi, Flavor symmetries, leptogenesis and the absolute neutrino mass scale, JHEP 11 (2009) 036 [arXiv:0908.0161] [INSPIRE].
D. Aristizabal Sierra, F. Bazzocchi, I. de Medeiros Varzielas, L. Merlo and S. Morisi, Tri-bimaximal lepton mixing and leptogenesis, Nucl. Phys. B 827 (2010) 34 [arXiv:0908.0907] [INSPIRE].
C.D. Froggatt and H.B. Nielsen, Hierarchy of quark masses, Cabibbo angles and CP-violation, Nucl. Phys. B 147 (1979) 277 [INSPIRE].
G.G. Raffelt, Astrophysical axion bounds, Lect. Notes Phys. 741 (2008) 51 [hep-ph/0611350] [INSPIRE].
K. Mimasu and V. Sanz, ALPs at colliders, JHEP 06 (2015) 173 [arXiv:1409.4792] [INSPIRE].
N. Vinyoles, A. Serenelli, F.L. Villante, S. Basu, J. Redondo and J. Isern, New axion and hidden photon constraints from a solar data global fit, JCAP 10 (2015) 015 [arXiv:1501.01639] [INSPIRE].
L. Di Luzio, F. Mescia and E. Nardi, Redefining the axion window, Phys. Rev. Lett. 118 (2017) 031801 [arXiv:1610.07593] [INSPIRE].
I. Brivio et al., ALPs effective field theory and collider signatures, Eur. Phys. J. C 77 (2017) 572 [arXiv:1701.05379] [INSPIRE].
M.J. Dolan, T. Ferber, C. Hearty, F. Kahlhoefer and K. Schmidt-Hoberg, Revised constraints and Belle II sensitivity for visible and invisible axion-like particles, JHEP 12 (2017) 094 [Erratum ibid. 03 (2021) 190] [arXiv:1709.00009] [INSPIRE].
M. Bauer, M. Neubert and A. Thamm, Collider probes of axion-like particles, JHEP 12 (2017) 044 [arXiv:1708.00443] [INSPIRE].
G. Alonso-Álvarez, M.B. Gavela and P. Quilez, Axion couplings to electroweak gauge bosons, Eur. Phys. J. C 79 (2019) 223 [arXiv:1811.05466] [INSPIRE].
M. Bauer, M. Heiles, M. Neubert and A. Thamm, Axion-like particles at future colliders, Eur. Phys. J. C 79 (2019) 74 [arXiv:1808.10323] [INSPIRE].
M.B. Gavela, R. Houtz, P. Quilez, R. Del Rey and O. Sumensari, Flavor constraints on electroweak ALP couplings, Eur. Phys. J. C 79 (2019) 369 [arXiv:1901.02031] [INSPIRE].
L. Merlo, F. Pobbe, S. Rigolin and O. Sumensari, Revisiting the production of ALPs at B-factories, JHEP 06 (2019) 091 [arXiv:1905.03259] [INSPIRE].
F. Arias-Aragón, F. D’eramo, R.Z. Ferreira, L. Merlo and A. Notari, Cosmic imprints of XENON1T axions, JCAP 11 (2020) 025 [arXiv:2007.06579] [INSPIRE].
F. Arias-Aragón, F. D’Eramo, R.Z. Ferreira, L. Merlo and A. Notari, Production of thermal axions across the electroweak phase transition, JCAP 03 (2021) 090 [arXiv:2012.04736] [INSPIRE].
N. Viaux et al., Neutrino and axion bounds from the globular cluster M5 (NGC 5904), Phys. Rev. Lett. 111 (2013) 231301 [arXiv:1311.1669] [INSPIRE].
J. Preskill, M.B. Wise and F. Wilczek, Cosmology of the invisible axion, Phys. Lett. B 120 (1983) 127 [INSPIRE].
L.F. Abbott and P. Sikivie, A cosmological bound on the invisible axion, Phys. Lett. B 120 (1983) 133 [INSPIRE].
M. Dine and W. Fischler, The not so harmless axion, Phys. Lett. B 120 (1983) 137 [INSPIRE].
M. Gorghetto, E. Hardy and G. Villadoro, Axions from strings: the attractive solution, JHEP 07 (2018) 151 [arXiv:1806.04677] [INSPIRE].
M. Gorghetto, E. Hardy and G. Villadoro, More axions from strings, SciPost Phys. 10 (2021) 050 [arXiv:2007.04990] [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].
E. Fernandez-Martinez, J. Hernandez-Garcia and J. Lopez-Pavon, Global constraints on heavy neutrino mixing, JHEP 08 (2016) 033 [arXiv:1605.08774] [INSPIRE].
A. de Gouvêa and J. Jenkins, The physical range of Majorana neutrino mixing parameters, Phys. Rev. D 78 (2008) 053003 [arXiv:0804.3627] [INSPIRE].
J.A. Casas and A. Ibarra, Oscillating neutrinos and μ → e, γ, Nucl. Phys. B 618 (2001) 171 [hep-ph/0103065] [INSPIRE].
V. Cirigliano, G. Isidori and V. Porretti, CP violation and leptogenesis in models with minimal lepton flavour violation, Nucl. Phys. B 763 (2007) 228 [hep-ph/0607068] [INSPIRE].
E. Fernandez-Martinez, M.B. Gavela, J. Lopez-Pavon and O. Yasuda, CP-violation from non-unitary leptonic mixing, Phys. Lett. B 649 (2007) 427 [hep-ph/0703098] [INSPIRE].
P. Langacker and D. London, Mixing between ordinary and exotic fermions, Phys. Rev. D 38 (1988) 886 [INSPIRE].
S. Antusch, C. Biggio, E. Fernandez-Martinez, M.B. Gavela and J. Lopez-Pavon, Unitarity of the leptonic mixing matrix, JHEP 10 (2006) 084 [hep-ph/0607020] [INSPIRE].
Particle Data Group collaboration, Review of particle physics, PTEP 2020 (2020) 083C01 [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].
P. Janot and S. Jadach, Improved Bhabha cross section at LEP and the number of light neutrino species, Phys. Lett. B 803 (2020) 135319 [arXiv:1912.02067] [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].
R. Kitano, M. Koike and Y. Okada, Detailed calculation of lepton flavor violating muon electron conversion rate for various nuclei, Phys. Rev. D 66 (2002) 096002 [Erratum ibid. 76 (2007) 059902] [hep-ph/0203110] [INSPIRE].
T. Suzuki, D.F. Measday and J.P. Roalsvig, Total nuclear capture rates for negative muons, Phys. Rev. C 35 (1987) 2212 [INSPIRE].
I. Esteban, M.C. Gonzalez-Garcia, M. Maltoni, T. Schwetz and A. Zhou, The fate of hints: updated global analysis of three-flavor neutrino oscillations, JHEP 09 (2020) 178 [arXiv:2007.14792] [INSPIRE].
Planck collaboration, Planck 2018 results. VI. Cosmological parameters, Astron. Astrophys. 641 (2020) A6 [Erratum ibid. 652 (2021) C4] [arXiv:1807.06209] [INSPIRE].
A.M. Baldini and T. Mori, MEG: Muon to Electron and Gamma, SciPost Phys. Proc. 5 (2021) 019 [INSPIRE].
S. Banerjee et al., Snowmass 2021 white paper: charged lepton flavor violation in the tau sector, arXiv:2203.14919 [INSPIRE].
R.K. Kutschke, The Mu2e experiment at Fermilab, in 31st international symposium on physics in collision, (2011) [arXiv:1112.0242] [INSPIRE].
R.J. Barlow, The PRISM/PRIME project, Nucl. Phys. B Proc. Suppl. 218 (2011) 44 [INSPIRE].
A.M. Abdullahi et al., The present and future status of heavy neutral leptons, in 2022 Snowmass summer study, (2022) [arXiv:2203.08039] [INSPIRE].
D. Bryman, V. Cirigliano, A. Crivellin and G. Inguglia, Testing lepton flavor universality with pion, kaon, tau, and beta decays, arXiv:2111.05338 [INSPIRE].
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
ArXiv ePrint: 2204.04672
Rights and permissions
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.
About this article
Cite this article
Arias-Aragón, F., Martínez, E.F., González-López, M. et al. Dynamical Minimal Flavour Violating inverse seesaw. J. High Energ. Phys. 2022, 210 (2022). https://doi.org/10.1007/JHEP09(2022)210
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP09(2022)210