Abstract
We propose a 3+1 Higgs Doublet Model based on the ∆(27) family symmetry supplemented by several auxiliary cyclic symmetries leading to viable Yukawa textures for the Standard Model fermions, consistent with the observed pattern of fermion masses and mixings. The charged fermion mass hierarchy and the quark mixing pattern is generated by the spontaneous breaking of the discrete symmetries due to flavons that act as Froggatt-Nielsen fields. The tiny neutrino masses arise from a radiative seesaw mechanism at one loop level, thanks to a preserved \( {Z}_2^{(1)} \) discrete symmetry, which also leads to stable scalar and fermionic dark matter candidates. The leptonic sector features the predictive cobimaximal mixing pattern, consistent with the experimental data from neutrino oscillations. For the scenario of normal neutrino mass hierarchy, the model predicts an effective Majorana neutrino mass parameter in the range 3 meV ≲ mββ ≲ 18 meV, which is within the declared range of sensitivity of modern experiments. The model predicts Flavour Changing Neutral Currents which constrain the model, for instance, μ → e nuclear conversion processes and Kaon mixing are found to be within the reach of the forthcoming experiments.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
G.C. Branco, J.M. Gerard and W. Grimus, Geometrical T violation, Phys. Lett. B 136 (1984) 383 [INSPIRE].
I. de Medeiros Varzielas, S.F. King and G.G. Ross, Neutrino tri-bi-maximal mixing from a non-Abelian discrete family symmetry, Phys. Lett. B 648 (2007) 201 [hep-ph/0607045] [INSPIRE].
E. Ma, Neutrino Mass Matrix from ∆(27) Symmetry, Mod. Phys. Lett. A 21 (2006) 1917 [hep-ph/0607056] [INSPIRE].
E. Ma, Near tribimaximal neutrino mixing with ∆(27) symmetry, Phys. Lett. B 660 (2008) 505 [arXiv:0709.0507] [INSPIRE].
F. Bazzocchi and I. de Medeiros Varzielas, Tri-bi-maximal mixing in viable family symmetry unified model with extended seesaw, Phys. Rev. D 79 (2009) 093001 [arXiv:0902.3250] [INSPIRE].
I. de Medeiros Varzielas and D. Emmanuel-Costa, Geometrical CP-violation, Phys. Rev. D 84 (2011) 117901 [arXiv:1106.5477] [INSPIRE].
I. de Medeiros Varzielas, D. Emmanuel-Costa and P. Leser, Geometrical CP-violation from Non-Renormalisable Scalar Potentials, Phys. Lett. B 716 (2012) 193 [arXiv:1204.3633] [INSPIRE].
G. Bhattacharyya, I. de Medeiros Varzielas and P. Leser, A common origin of fermion mixing and geometrical CP-violation, and its test through Higgs physics at the LHC, Phys. Rev. Lett. 109 (2012) 241603 [arXiv:1210.0545] [INSPIRE].
P.M. Ferreira, W. Grimus, L. Lavoura and P.O. Ludl, Maximal CP-violation in Lepton Mixing from a Model with ∆(27) flavour Symmetry, JHEP 09 (2012) 128 [arXiv:1206.7072] [INSPIRE].
E. Ma, Neutrino Mixing and Geometric CP-violation with ∆(27) Symmetry, Phys. Lett. B 723 (2013) 161 [arXiv:1304.1603] [INSPIRE].
C.C. Nishi, Generalized CP symmetries in ∆(27) flavor models, Phys. Rev. D 88 (2013) 033010 [arXiv:1306.0877] [INSPIRE].
I. de Medeiros Varzielas and D. Pidt, Towards realistic models of quark masses with geometrical CP-violation, J. Phys. G 41 (2014) 025004 [arXiv:1307.0711] [INSPIRE].
A. Aranda, C. Bonilla, S. Morisi, E. Peinado and J.W.F. Valle, Dirac neutrinos from flavor symmetry, Phys. Rev. D 89 (2014) 033001 [arXiv:1307.3553] [INSPIRE].
I. de Medeiros Varzielas and D. Pidt, Geometrical CP-violation with a complete fermion sector, JHEP 11 (2013) 206 [arXiv:1307.6545] [INSPIRE].
P.F. Harrison, R. Krishnan and W.G. Scott, Deviations from tribimaximal neutrino mixing using a model with ∆(27) symmetry, Int. J. Mod. Phys. A 29 (2014) 1450095 [arXiv:1406.2025] [INSPIRE].
E. Ma and A. Natale, Scotogenic Z2 or U(1)D Model of Neutrino Mass with ∆(27) Symmetry, Phys. Lett. B 734 (2014) 403 [arXiv:1403.6772] [INSPIRE].
M. Abbas and S. Khalil, Fermion masses and mixing in ∆(27) flavour model, Phys. Rev. D 91 (2015) 053003 [arXiv:1406.6716] [INSPIRE].
M. Abbas, S. Khalil, A. Rashed and A. Sil, Neutrino masses and deviation from tribimaximal mixing in ∆(27) model with inverse seesaw mechanism, Phys. Rev. D 93 (2016) 013018 [arXiv:1508.03727] [INSPIRE].
I. de Medeiros Varzielas, ∆(27) family symmetry and neutrino mixing, JHEP 08 (2015) 157 [arXiv:1507.00338] [INSPIRE].
F. Björkeroth, F.J. de Anda, I. de Medeiros Varzielas and S.F. King, Towards a complete ∆(27) × SO(10) SUSY GUT, Phys. Rev. D 94 (2016) 016006 [arXiv:1512.00850] [INSPIRE].
P. Chen, G.-J. Ding, A.D. Rojas, C.A. Vaquera-Araujo and J.W.F. Valle, Warped flavor symmetry predictions for neutrino physics, JHEP 01 (2016) 007 [arXiv:1509.06683] [INSPIRE].
V.V. Vien, A.E. Cárcamo Hernández and H.N. Long, The ∆(27) flavor 3-3-1 model with neutral leptons, Nucl. Phys. B 913 (2016) 792 [arXiv:1601.03300] [INSPIRE].
A.E. Cárcamo Hernández, H.N. Long and V.V. Vien, A 3-3-1 model with right-handed neutrinos based on the ∆(27) family symmetry, Eur. Phys. J. C 76 (2016) 242 [arXiv:1601.05062] [INSPIRE].
F. Björkeroth, F.J. de Anda, I. de Medeiros Varzielas and S.F. King, Leptogenesis in a ∆(27) × SO(10) SUSY GUT, JHEP 01 (2017) 077 [arXiv:1609.05837] [INSPIRE].
A.E. Cárcamo Hernández, S. Kovalenko, J.W.F. Valle and C.A. Vaquera-Araujo, Predictive Pati-Salam theory of fermion masses and mixing, JHEP 07 (2017) 118 [arXiv:1705.06320] [INSPIRE].
I. de Medeiros Varzielas, G.G. Ross and J. Talbert, A Unified Model of Quarks and Leptons with a Universal Texture Zero, JHEP 03 (2018) 007 [arXiv:1710.01741] [INSPIRE].
N. Bernal, A.E. Cárcamo Hernández, I. de Medeiros Varzielas and S. Kovalenko, Fermion masses and mixings and dark matter constraints in a model with radiative seesaw mechanism, JHEP 05 (2018) 053 [arXiv:1712.02792] [INSPIRE].
A.E. Cárcamo Hernández, H.N. Long and V.V. Vien, The first ∆(27) flavor 3-3-1 model with low scale seesaw mechanism, Eur. Phys. J. C 78 (2018) 804 [arXiv:1803.01636] [INSPIRE].
I. De Medeiros Varzielas, M.L. López-Ibáñez, A. Melis and O. Vives, Controlled flavor violation in the MSSM from a unified ∆(27) flavor symmetry, JHEP 09 (2018) 047 [arXiv:1807.00860] [INSPIRE].
A.E. Cárcamo Hernández, S. Kovalenko, J.W.F. Valle and C.A. Vaquera-Araujo, Neutrino predictions from a left-right symmetric flavored extension of the standard model, JHEP 02 (2019) 065 [arXiv:1811.03018] [INSPIRE].
A.E. Cárcamo Hernández, J.C. Gómez-Izquierdo, S. Kovalenko and M. Mondragón, ∆(27) flavor singlet-triplet Higgs model for fermion masses and mixings, Nucl. Phys. B 946 (2019) 114688 [arXiv:1810.01764] [INSPIRE].
E. Ma, Scotogenic cobimaximal Dirac neutrino mixing from ∆(27) and U(1)χ, Eur. Phys. J. C 79 (2019) 903 [arXiv:1905.01535] [INSPIRE].
F. Björkeroth, I. de Medeiros Varzielas, M.L. López-Ibáñez, A. Melis and O. Vives, Leptogenesis in ∆(27) with a Universal Texture Zero, JHEP 09 (2019) 050 [arXiv:1904.10545] [INSPIRE].
A.E. Cárcamo Hernández and I. de Medeiros Varzielas, ∆(27) framework for cobimaximal neutrino mixing models, Phys. Lett. B 806 (2020) 135491 [arXiv:2003.01134] [INSPIRE].
M.A. Díaz, B. Koch and S. Urrutia-Quiroga, Constraints to Dark Matter from Inert Higgs Doublet Model, Adv. High Energy Phys. 2016 (2016) 8278375 [arXiv:1511.04429] [INSPIRE].
M. Escudero, A. Berlin, D. Hooper and M.-X. Lin, Toward (Finally!) Ruling Out Z and Higgs Mediated Dark Matter Models, JCAP 12 (2016) 029 [arXiv:1609.09079] [INSPIRE].
C. Arbeláez, A.E. Cárcamo Hernández, S. Kovalenko and I. Schmidt, Radiative Seesaw-type Mechanism of Fermion Masses and Non-trivial Quark Mixing, Eur. Phys. J. C 77 (2017) 422 [arXiv:1602.03607] [INSPIRE].
C. Garcia-Cely, M. Gustafsson and A. Ibarra, Probing the Inert Doublet Dark Matter Model with Cherenkov Telescopes, JCAP 02 (2016) 043 [arXiv:1512.02801] [INSPIRE].
F. Rojas-Abatte, M.L. Mora, J. Urbina and A.R. Zerwekh, Inert two-Higgs-doublet model strongly coupled to a non-Abelian vector resonance, Phys. Rev. D 96 (2017) 095025 [arXiv:1707.04543] [INSPIRE].
B. Dutta, G. Palacio, J.D. Ruiz-Alvarez and D. Restrepo, Vector Boson Fusion in the Inert Doublet Model, Phys. Rev. D 97 (2018) 055045 [arXiv:1709.09796] [INSPIRE].
T. Nomura and H. Okada, A radiative seesaw model with higher order terms under an alternative U(1)B−L, Phys. Lett. B 781 (2018) 561 [arXiv:1711.05115] [INSPIRE].
A.E. Cárcamo Hernández and H.N. Long, A highly predictive A4 flavour 3-3-1 model with radiative inverse seesaw mechanism, J. Phys. G 45 (2018) 045001 [arXiv:1705.05246] [INSPIRE].
A.E. Cárcamo Hernández, S. Kovalenko, H.N. Long and I. Schmidt, A variant of 3-3-1 model for the generation of the SM fermion mass and mixing pattern, JHEP 07 (2018) 144 [arXiv:1705.09169] [INSPIRE].
C. Gao, M.A. Luty and N.A. Neill, Almost Inert Higgs Bosons at the LHC, JHEP 09 (2019) 043 [arXiv:1812.08179] [INSPIRE].
H.N. Long, N.V. Hop, L.T. Hue, N.H. Thao and A.E. Cárcamo Hernández, Some phenomenological aspects of the 3-3-1 model with the Cárcamo-Kovalenko-Schmidt mechanism, Phys. Rev. D 100 (2019) 015004 [arXiv:1810.00605] [INSPIRE].
A.E. Cárcamo Hernández, S. Kovalenko, R. Pasechnik and I. Schmidt, Sequentially loop-generated quark and lepton mass hierarchies in an extended Inert Higgs Doublet model, JHEP 06 (2019) 056 [arXiv:1901.02764] [INSPIRE].
S. Bhattacharya, P. Ghosh, A.K. Saha and A. Sil, Two component dark matter with inert Higgs doublet: neutrino mass, high scale validity and collider searches, JHEP 03 (2020) 090 [arXiv:1905.12583] [INSPIRE].
Z.-L. Han and W. Wang, Predictive Scotogenic Model with Flavor Dependent Symmetry, Eur. Phys. J. C 79 (2019) 522 [arXiv:1901.07798] [INSPIRE].
A.E. Cárcamo Hernández, S. Kovalenko, R. Pasechnik and I. Schmidt, Phenomenology of an extended IDM with loop-generated fermion mass hierarchies, Eur. Phys. J. C 79 (2019) 610 [arXiv:1901.09552] [INSPIRE].
A.E. Cárcamo Hernández, D.T. Huong and H.N. Long, Minimal model for the fermion flavor structure, mass hierarchy, dark matter, leptogenesis, and the electron and muon anomalous magnetic moments, Phys. Rev. D 102 (2020) 055002 [arXiv:1910.12877] [INSPIRE].
A.E. Cárcamo Hernández, J.W.F. Valle and C.A. Vaquera-Araujo, Simple theory for scotogenic dark matter with residual matter-parity, Phys. Lett. B 809 (2020) 135757 [arXiv:2006.06009] [INSPIRE].
R. Gonzalez Felipe, H. Serodio and J.P. Silva, Neutrino masses and mixing in A4 models with three Higgs doublets, Phys. Rev. D 88 (2013) 015015 [arXiv:1304.3468] [INSPIRE].
K. Fukuura, T. Miura, E. Takasugi and M. Yoshimura, Maximal CP-violation, large mixings of neutrinos and democratic type neutrino mass matrix, Phys. Rev. D 61 (2000) 073002 [hep-ph/9909415] [INSPIRE].
T. Miura, E. Takasugi and M. Yoshimura, Large CP-violation, large mixings of neutrinos and the Z3 symmetry, Phys. Rev. D 63 (2001) 013001 [hep-ph/0003139] [INSPIRE].
E. Ma, The All purpose neutrino mass matrix, Phys. Rev. D 66 (2002) 117301 [hep-ph/0207352] [INSPIRE].
E. Ma, Neutrino mixing: A4 variations, Phys. Lett. B 752 (2016) 198 [arXiv:1510.02501] [INSPIRE].
E. Ma, Soft A4 → Z3 symmetry breaking and cobimaximal neutrino mixing, Phys. Lett. B 755 (2016) 348 [arXiv:1601.00138] [INSPIRE].
A. Damanik, Neutrino masses from a cobimaximal neutrino mixing matrix, arXiv:1702.03214 [INSPIRE].
E. Ma and G. Rajasekaran, Cobimaximal neutrino mixing from A4 and its possible deviation, EPL 119 (2017) 31001 [arXiv:1708.02208] [INSPIRE].
E. Ma, Cobimaximal neutrino mixing from S3 × Z2, Phys. Lett. B 777 (2018) 332 [arXiv:1707.03352] [INSPIRE].
W. Grimus and L. Lavoura, Cobimaximal lepton mixing from soft symmetry breaking, Phys. Lett. B 774 (2017) 325 [arXiv:1708.09809] [INSPIRE].
E. Ma, Two-loop Z4 Dirac neutrino masses and mixing, with self-interacting dark matter, Nucl. Phys. B 946 (2019) 114725 [arXiv:1907.04665] [INSPIRE].
D. Das, M.L. López-Ibáñez, M.J. Pérez and O. Vives, Effective theories of flavor and the nonuniversal MSSM, Phys. Rev. D 95 (2017) 035001 [arXiv:1607.06827] [INSPIRE].
M.L. López-Ibáñez, A. Melis, M.J. Pérez and O. Vives, Slepton non-universality in the flavor-effective MSSM, JHEP 11 (2017) 162 [Erratum ibid. 04 (2018) 015] [arXiv:1710.02593] [INSPIRE].
M.L. López-Ibáñez, A. Melis, D. Meloni and O. Vives, Lepton flavor violation and neutrino masses from A5 and CP in the non-universal MSSM, JHEP 06 (2019) 047 [arXiv:1901.04526] [INSPIRE].
M.E. Cabrera, J.A. Casas, A. Delgado and S. Robles, 2HDM singlet portal to dark matter, JHEP 01 (2021) 123 [arXiv:2011.09101] [INSPIRE].
I. de Medeiros Varzielas, S.F. King, C. Luhn and T. Neder, CP-odd invariants for multi-Higgs models: applications with discrete symmetry, Phys. Rev. D 94 (2016) 056007 [arXiv:1603.06942] [INSPIRE].
I. de Medeiros Varzielas, S.F. King, C. Luhn and T. Neder, Minima of multi-Higgs potentials with triplets of ∆(3n2) and ∆(6n2), Phys. Lett. B 775 (2017) 303 [arXiv:1704.06322] [INSPIRE].
F. Staub, SARAH, arXiv:0806.0538 [INSPIRE].
F. Staub, SARAH 4: A tool for (not only SUSY) model builders, Comput. Phys. Commun. 185 (2014) 1773 [arXiv:1309.7223] [INSPIRE].
W. Porod, F. Staub and A. Vicente, A Flavor Kit for BSM models, Eur. Phys. J. C 74 (2014) 2992 [arXiv:1405.1434] [INSPIRE].
M. Goodsell, K. Nickel and F. Staub, Generic two-loop Higgs mass calculation from a diagrammatic approach, Eur. Phys. J. C 75 (2015) 290 [arXiv:1503.03098] [INSPIRE].
F. Staub, Exploring new models in all detail with SARAH, Adv. High Energy Phys. 2015 (2015) 840780 [arXiv:1503.04200] [INSPIRE].
M.D. Goodsell and F. Staub, Unitarity constraints on general scalar couplings with SARAH, Eur. Phys. J. C 78 (2018) 649 [arXiv:1805.07306] [INSPIRE].
W. Porod, SPheno, a program for calculating supersymmetric spectra, SUSY particle decays and SUSY particle production at e+e− colliders, Comput. Phys. Commun. 153 (2003) 275 [hep-ph/0301101] [INSPIRE].
W. Porod and F. Staub, SPheno 3.1: Extensions including flavour, CP-phases and models beyond the MSSM, Comput. Phys. Commun. 183 (2012) 2458 [arXiv:1104.1573] [INSPIRE].
Z.-z. Xing, Flavor structures of charged fermions and massive neutrinos, Phys. Rept. 854 (2020) 1 [arXiv:1909.09610] [INSPIRE].
Particle Data Group collaboration, Review of Particle Physics, PTEP 2020 (2020) 083C01 [INSPIRE].
P.F. de Salas et al., 2020 global reassessment of the neutrino oscillation picture, JHEP 02 (2021) 071 [arXiv:2006.11237] [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].
CUPID collaboration, New Limit for Neutrinoless Double-Beta Decay of 100Mo from the CUPID-Mo Experiment, Phys. Rev. Lett. 126 (2021) 181802 [arXiv:2011.13243] [INSPIRE].
nEXO collaboration, Sensitivity and Discovery Potential of nEXO to Neutrinoless Double Beta Decay, Phys. Rev. C 97 (2018) 065503 [arXiv:1710.05075] [INSPIRE].
A.S. Barabash, Possibilities of future double beta decay experiments to investigate inverted and normal ordering region of neutrino mass, Front. in Phys. 6 (2019) 160 [arXiv:1901.11342] [INSPIRE].
SINDRUM II collaboration, A Search for muon to electron conversion in muonic gold, Eur. Phys. J. C 47 (2006) 337 [INSPIRE].
Mu2e collaboration, The Mu2e Experiment, Front. in Phys. 7 (2019) 1 [arXiv:1901.11099] [INSPIRE].
COMET collaboration, A search for muon-to-electron conversion at J-PARC: The COMET experiment, PTEP 2013 (2013) 022C01 [INSPIRE].
R.J. Barlow, The PRISM/PRIME project, Nucl. Phys. B Proc. Suppl. 218 (2011) 44 [INSPIRE].
F.F. Deppisch, P.S. Bhupal Dev and A. Pilaftsis, Neutrinos and Collider Physics, New J. Phys. 17 (2015) 075019 [arXiv:1502.06541] [INSPIRE].
H. Ishimori, T. Kobayashi, H. Ohki, Y. Shimizu, H. Okada and M. Tanimoto, Non-Abelian Discrete Symmetries in Particle Physics, Prog. Theor. Phys. Suppl. 183 (2010) 1 [arXiv:1003.3552] [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: 2102.05658
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
Cárcamo Hernández, A.E., de Medeiros Varzielas, I., López-Ibáñez, M.L. et al. Controlled fermion mixing and FCNCs in a ∆(27) 3+1 Higgs Doublet Model. J. High Energ. Phys. 2021, 215 (2021). https://doi.org/10.1007/JHEP05(2021)215
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP05(2021)215