Abstract
We propose a one-loop induced radiative neutrino mass model with anomaly free flavour dependent gauge symmetry: μ minus τ symmetry U(1)μ−τ. A neutrino mass matrix satisfying current experimental data can be obtained by introducing a weak isospin singlet scalar boson that breaks U(1)μ−τ symmetry, an inert doublet scalar field, and three right-handed neutrinos in addition to the fields in the standard model. We find that a characteristic structure appears in the neutrino mass matrix: two-zero texture form which predicts three non-zero neutrino masses and three non-zero CP-phases from five well measured experimental inputs of two squared mass differences and three mixing angles. Furthermore, it is clarified that only the inverted mass hierarchy is allowed in our model. In a favored parameter set from the neutrino sector, the discrepancy in the muon anomalous magnetic moment between the experimental data and the the standard model prediction can be explained by the additional neutral gauge boson loop contribution with mass of order 100 MeV and new gauge coupling of order 10−3.
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References
A. Zee, A theory of lepton number violation, neutrino Majorana mass and oscillation, Phys. Lett. B 93 (1980) 389 [Erratum ibid. B 95 (1980) 461] [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].
S. Baek, P. Ko, H. Okada and E. Senaha, Can Zee-Babu model implemented with scalar dark matter explain both Fermi/LAT 130 GeV γ-ray excess and neutrino physics?, JHEP 09 (2014) 153 [arXiv:1209.1685] [INSPIRE].
D. Schmidt, T. Schwetz and H. Zhang, Status of the Zee-Babu model for neutrino mass and possible tests at a like-sign linear collider, Nucl. Phys. B 885 (2014) 524 [arXiv:1402.2251] [INSPIRE].
H. Okada, T. Toma and K. Yagyu, Inert extension of the Zee-Babu model, Phys. Rev. D 90 (2014) 095005 [arXiv:1408.0961] [INSPIRE].
S. Baek, 3.5 keV X-ray line signal from dark matter decay in local U(1)B − L extension of Zee-Babu model, arXiv:1410.1992 [INSPIRE].
L.M. Krauss, S. Nasri and M. Trodden, A model for neutrino masses and dark matter, Phys. Rev. D 67 (2003) 085002 [hep-ph/0210389] [INSPIRE].
A. Ahriche, S. Nasri and R. Soualah, Radiative neutrino mass model at the e − e + linear collider, Phys. Rev. D 89 (2014) 095010 [arXiv:1403.5694] [INSPIRE].
E. Ma, Verifiable radiative seesaw mechanism of neutrino mass and dark matter, Phys. Rev. D 73 (2006) 077301 [hep-ph/0601225] [INSPIRE].
T. Hambye, K. Kannike, E. Ma and M. Raidal, Emanations of dark matter: muon anomalous magnetic moment, radiative neutrino mass and novel leptogenesis at the TeV scale, Phys. Rev. D 75 (2007) 095003 [hep-ph/0609228] [INSPIRE].
R. Bouchand and A. Merle, Running of radiative neutrino masses: the scotogenic model, JHEP 07 (2012) 084 [arXiv:1205.0008] [INSPIRE].
E. Ma, Radiative scaling neutrino mass and warm dark matter, Phys. Lett. B 717 (2012) 235 [arXiv:1206.1812] [INSPIRE].
D. Hehn and A. Ibarra, A radiative model with a naturally mild neutrino mass hierarchy, Phys. Lett. B 718 (2013) 988 [arXiv:1208.3162] [INSPIRE].
E. Ma, Vanishing Higgs one-loop quadratic divergence in the scotogenic model and beyond, Phys. Lett. B 732 (2014) 167 [arXiv:1401.3284] [INSPIRE].
S. Fraser, E. Ma and O. Popov, Scotogenic inverse seesaw model of neutrino mass, Phys. Lett. B 737 (2014) 280 [arXiv:1408.4785] [INSPIRE].
D. Schmidt, T. Schwetz and T. Toma, Direct detection of leptophilic dark matter in a model with radiative neutrino masses, Phys. Rev. D 85 (2012) 073009 [arXiv:1201.0906] [INSPIRE].
J. March-Russell, C. McCabe and M. McCullough, Neutrino-flavoured sneutrino dark matter, JHEP 03 (2010) 108 [arXiv:0911.4489] [INSPIRE].
M. Aoki, S. Kanemura, T. Shindou and K. Yagyu, An R-parity conserving radiative neutrino mass model without right-handed neutrinos, JHEP 07 (2010) 084 [Erratum ibid. 11 (2010)049] [arXiv:1005.5159] [INSPIRE].
M. Aoki, J. Kubo, T. Okawa and H. Takano, Impact of inert Higgsino dark matter, Phys. Lett. B 707 (2012) 107 [arXiv:1110.5403] [INSPIRE].
S. Kanemura, N. Machida and T. Shindou, Radiative neutrino mass, dark matter and electroweak baryogenesis from the supersymmetric gauge theory with confinement, Phys. Lett. B 738 (2014) 178 [arXiv:1405.5834] [INSPIRE].
S. Kanemura, O. Seto and T. Shimomura, Masses of dark matter and neutrino from TeV scale spontaneous U(1)B − L breaking, Phys. Rev. D 84 (2011) 016004 [arXiv:1101.5713] [INSPIRE].
M. Lindner, D. Schmidt and T. Schwetz, Dark matter and neutrino masses from global U(1)B − L symmetry breaking, Phys. Lett. B 705 (2011) 324 [arXiv:1105.4626] [INSPIRE].
S. Kanemura, T. Nabeshima and H. Sugiyama, TeV-scale seesaw with loop-induced Dirac mass term and dark matter from U(1)B − L gauge symmetry breaking, Phys. Rev. D 85 (2012) 033004 [arXiv:1111.0599] [INSPIRE].
H. Okada and T. Toma, Fermionic dark matter in radiative inverse seesaw model with U(1)B − L, Phys. Rev. D 86 (2012) 033011 [arXiv:1207.0864] [INSPIRE].
Y. Kajiyama, H. Okada and T. Toma, Light dark matter candidate in B − L gauged radiative inverse seesaw, Eur. Phys. J. C 73 (2013) 2381 [arXiv:1210.2305] [INSPIRE].
H. Okada, Dark matters in gauged B − 3L i model, arXiv:1212.0492 [INSPIRE].
S. Baek, H. Okada and T. Toma, Two loop neutrino model and dark matter particles with global B − L symmetry, JCAP 06 (2014) 027 [arXiv:1312.3761] [INSPIRE].
S. Kanemura, T. Matsui and H. Sugiyama, Neutrino mass and dark matter from gauged U(1)B − L breaking, Phys. Rev. D 90 (2014) 013001 [arXiv:1405.1935] [INSPIRE].
Y.H. Ahn and H. Okada, Non-zero θ 13 linking to dark matter from non-Abelian discrete flavor model in radiative seesaw, Phys. Rev. D 85 (2012) 073010 [arXiv:1201.4436] [INSPIRE].
E. Ma, A. Natale and A. Rashed, Scotogenic A 4 neutrino model for nonzero θ 13 and large δ CP , Int. J. Mod. Phys. A 27 (2012) 1250134 [arXiv:1206.1570] [INSPIRE].
Y. Kajiyama, H. Okada and K. Yagyu, T 7 flavor model in three loop seesaw and Higgs phenomenology, JHEP 10 (2013) 196 [arXiv:1307.0480] [INSPIRE].
A.E. Carcamo Hernandez, I. de Medeiros Varzielas, S.G. Kovalenko, H. Päs and I. Schmidt, Lepton masses and mixings in an A 4 multi-Higgs model with a radiative seesaw mechanism, Phys. Rev. D 88 (2013) 076014 [arXiv:1307.6499] [INSPIRE].
E. Ma and A. Natale, Scotogenic Z2 or U(1) D model of neutrino mass with Δ(27) symmetry, Phys. Lett. B 734 (2014) 403 [arXiv:1403.6772] [INSPIRE].
M. Lindner, S. Schmidt and J. Smirnov, Neutrino masses and conformal electro-weak symmetry breaking, JHEP 10 (2014) 177 [arXiv:1405.6204] [INSPIRE].
H. Okada and Y. Orikasa, Classically conformal radiative neutrino model with gauged B − L symmetry, arXiv:1412.3616 [INSPIRE].
S. Kanemura and H. Sugiyama, Dark matter and a suppression mechanism for neutrino masses in the Higgs triplet model, Phys. Rev. D 86 (2012) 073006 [arXiv:1202.5231] [INSPIRE].
Y. Kajiyama, H. Okada and K. Yagyu, Two loop radiative seesaw model with inert triplet scalar field, Nucl. Phys. B 874 (2013) 198 [arXiv:1303.3463] [INSPIRE].
A. Ahriche, C.-S. Chen, K.L. McDonald and S. Nasri, Three-loop model of neutrino mass with dark matter, Phys. Rev. D 90 (2014) 015024 [arXiv:1404.2696] [INSPIRE].
P.-H. Gu and U. Sarkar, Radiative neutrino mass, dark matter and leptogenesis, Phys. Rev. D 77 (2008) 105031 [arXiv:0712.2933] [INSPIRE].
S. Kanemura, T. Nabeshima and H. Sugiyama, Neutrino masses from loop-induced Dirac Yukawa couplings, Phys. Lett. B 703 (2011) 66 [arXiv:1106.2480] [INSPIRE].
Y. Farzan and E. Ma, Dirac neutrino mass generation from dark matter, Phys. Rev. D 86 (2012) 033007 [arXiv:1204.4890] [INSPIRE].
S. Kanemura, T. Matsui and H. Sugiyama, Loop suppression of Dirac neutrino mass in the neutrinophilic two Higgs doublet model, Phys. Lett. B 727 (2013) 151 [arXiv:1305.4521] [INSPIRE].
H. Okada, Two loop induced Dirac neutrino model and dark matters with global U(1)′ symmetry, arXiv:1404.0280 [INSPIRE].
E. Ma, Radiative origin of all quark and lepton masses through dark matter with flavor symmetry, Phys. Rev. Lett. 112 (2014) 091801 [arXiv:1311.3213] [INSPIRE].
H. Okada and K. Yagyu, Radiative generation of lepton masses, Phys. Rev. D 89 (2014) 053008 [arXiv:1311.4360] [INSPIRE].
S. Baek, H. Okada and T. Toma, Radiative lepton model and dark matter with global U(1)′ symmetry, Phys. Lett. B 732 (2014) 85 [arXiv:1401.6921] [INSPIRE].
H. Okada and K. Yagyu, Radiative generation of lepton masses with the U(1)′ gauge symmetry, Phys. Rev. D 90 (2014) 035019 [arXiv:1405.2368] [INSPIRE].
E. Ma, Syndetic model of fundamental interactions, Phys. Lett. B 741 (2015) 202 [arXiv:1411.6679] [INSPIRE].
M. Aoki, S. Kanemura and O. Seto, Neutrino mass, dark matter and baryon asymmetry via TeV-scale physics without fine-tuning, Phys. Rev. Lett. 102 (2009) 051805 [arXiv:0807.0361] [INSPIRE].
M. Aoki, S. Kanemura and O. Seto, A model of TeV scale physics for neutrino mass, dark matter and baryon asymmetry and its phenomenology, Phys. Rev. D 80 (2009) 033007 [arXiv:0904.3829] [INSPIRE].
M. Aoki, S. Kanemura and K. Yagyu, Triviality and vacuum stability bounds in the three-loop neutrino mass model, Phys. Rev. D 83 (2011) 075016 [arXiv:1102.3412] [INSPIRE].
E. Ma, Pathways to naturally small neutrino masses, Phys. Rev. Lett. 81 (1998) 1171 [hep-ph/9805219] [INSPIRE].
A. Pilaftsis, Radiatively induced neutrino masses and large Higgs neutrino couplings in the standard model with Majorana fields, Z. Phys. C 55 (1992) 275 [hep-ph/9901206] [INSPIRE].
P.-H. Gu and U. Sarkar, Radiative seesaw in left-right symmetric model, Phys. Rev. D 78 (2008) 073012 [arXiv:0807.0270] [INSPIRE].
P. Fileviez Perez and M.B. Wise, On the origin of neutrino masses, Phys. Rev. D 80 (2009) 053006 [arXiv:0906.2950] [INSPIRE].
M. Aoki, S. Kanemura and K. Yagyu, Doubly-charged scalar bosons from the doublet, Phys. Lett. B 702 (2011) 355 [Erratum ibid. B 706 (2012) 495] [arXiv:1105.2075] [INSPIRE].
K. Kumericki, I. Picek and B. Radovcic, Critique of fermionic RνMDM and its scalar variants, JHEP 07 (2012) 039 [arXiv:1204.6597] [INSPIRE].
K. Kumericki, I. Picek and B. Radovcic, TeV-scale seesaw with quintuplet fermions, Phys. Rev. D 86 (2012) 013006 [arXiv:1204.6599] [INSPIRE].
P.S.B. Dev and A. Pilaftsis, Minimal radiative neutrino mass mechanism for inverse seesaw models, Phys. Rev. D 86 (2012) 113001 [arXiv:1209.4051] [INSPIRE].
M. Gustafsson, J.M. No and M.A. Rivera, Predictive model for radiatively induced neutrino masses and mixings with dark matter, Phys. Rev. Lett. 110 (2013) 211802 [arXiv:1212.4806] [INSPIRE].
M. Aoki, J. Kubo and H. Takano, Two-loop radiative seesaw mechanism with multicomponent dark matter explaining the possible γ excess in the Higgs boson decay and at the Fermi LAT, Phys. Rev. D 87 (2013) 116001 [arXiv:1302.3936] [INSPIRE].
Y. Kajiyama, H. Okada and T. Toma, Multicomponent dark matter particles in a two-loop neutrino model, Phys. Rev. D 88 (2013) 015029 [arXiv:1303.7356] [INSPIRE].
B. Dasgupta, E. Ma and K. Tsumura, Weakly interacting massive particle dark matter and radiative neutrino mass from Peccei-Quinn symmetry, Phys. Rev. D 89 (2014) 041702 [arXiv:1308.4138] [INSPIRE].
K.L. McDonald, Probing exotic fermions from a seesaw/radiative model at the LHC, JHEP 11 (2013) 131 [arXiv:1310.0609] [INSPIRE].
M. Aoki and T. Toma, Impact of semi-annihilation of Z3 symmetric dark matter with radiative neutrino masses, JCAP 09 (2014) 016 [arXiv:1405.5870] [INSPIRE].
H. Okada and Y. Orikasa, X-ray line in radiative neutrino model with global U(1) symmetry, Phys. Rev. D 90 (2014) 075023 [arXiv:1407.2543] [INSPIRE].
H. Hatanaka, K. Nishiwaki, H. Okada and Y. Orikasa, A three-loop neutrino model with global U(1) symmetry, Nucl. Phys. B 894 (2015) 268 [arXiv:1412.8664] [INSPIRE].
F. Bonnet, M. Hirsch, T. Ota and W. Winter, Systematic study of the D = 5 Weinberg operator at one-loop order, JHEP 07 (2012) 153 [arXiv:1204.5862] [INSPIRE].
A. Ahriche, K.L. McDonald and S. Nasri, A model of radiative neutrino mass: with or without dark matter, JHEP 10 (2014) 167 [arXiv:1404.5917] [INSPIRE].
C.-S. Chen, K.L. McDonald and S. Nasri, A class of three-loop models with neutrino mass and dark matter, Phys. Lett. B 734 (2014) 388 [arXiv:1404.6033] [INSPIRE].
D. Aristizabal Sierra, A. Degee, L. Dorame and M. Hirsch, Systematic classification of two-loop realizations of the Weinberg operator, JHEP 03 (2015) 040 [arXiv:1411.7038] [INSPIRE].
S.S.C. Law and K.L. McDonald, The simplest models of radiative neutrino mass, Int. J. Mod. Phys. A 29 (2014) 1450064 [arXiv:1303.6384] [INSPIRE].
E. Ma, Derivation of dark matter parity from lepton parity, arXiv:1502.02200 [INSPIRE].
S. Baek, N.G. Deshpande, X.G. He and P. Ko, Muon anomalous g − 2 and gauged L μ -L τ models, Phys. Rev. D 64 (2001) 055006 [hep-ph/0104141] [INSPIRE].
E.J. Chun and K. Turzynski, Quasi-degenerate neutrinos and leptogenesis from L μ -L τ , Phys. Rev. D 76 (2007) 053008 [hep-ph/0703070] [INSPIRE].
S. Baek and P. Ko, Phenomenology of U(1)Lμ−Lτ charged dark matter at PAMELA and colliders, JCAP 10 (2009) 011 [arXiv:0811.1646] [INSPIRE].
P.J. Fox and E. Poppitz, Leptophilic dark matter, Phys. Rev. D 79 (2009) 083528 [arXiv:0811.0399] [INSPIRE].
D. Feldman, Z. Liu, P. Nath and G. Peim, Multicomponent dark matter in supersymmetric hidden sector extensions, Phys. Rev. D 81 (2010) 095017 [arXiv:1004.0649] [INSPIRE].
J. Heeck and W. Rodejohann, Gauged L μ -L τ symmetry at the electroweak scale, Phys. Rev. D 84 (2011) 075007 [arXiv:1107.5238] [INSPIRE].
X.-G. He, G.C. Joshi, H. Lew and R.R. Volkas, Simplest Z ′ model, Phys. Rev. D 44 (1991) 2118 [INSPIRE].
R. Foot, X.G. He, H. Lew and R.R. Volkas, Model for a light Z ′ boson, Phys. Rev. D 50 (1994) 4571 [hep-ph/9401250] [INSPIRE].
S. Baek and P. Ko, Phenomenology of U(1)Lμ−Lτ charged dark matter at PAMELA and colliders, JCAP 10 (2009) 011 [arXiv:0811.1646] [INSPIRE].
K. Harigaya, T. Igari, M.M. Nojiri, M. Takeuchi and K. Tobe, Muon g − 2 and LHC phenomenology in the L μ -L τ gauge symmetric model, JHEP 03 (2014) 105 [arXiv:1311.0870] [INSPIRE].
T. Araki et al., Cosmic neutrino spectrum and the muon anomalous magnetic moment in the gauged L μ -L τ model, Phys. Rev. D 91 (2015) 037301 [arXiv:1409.4180] [INSPIRE].
AMS collaboration, M. Aguilar et al., First result from the Alpha Magnetic Spectrometer on the International Space Station: precision measurement of the positron fraction in primary cosmic rays of 0.5-350 GeV, Phys. Rev. Lett. 110 (2013) 141102 [INSPIRE].
Q.-H. Cao, C.-R. Chen and T. Gong, Leptophilic dark matter and AMS-02 cosmic-ray positron flux, arXiv:1409.7317 [INSPIRE].
H. Fritzsch, Z.-Z. Xing and S. Zhou, Two-zero textures of the Majorana neutrino mass matrix and current experimental tests, JHEP 09 (2011) 083 [arXiv:1108.4534] [INSPIRE].
Z. Maki, M. Nakagawa and S. Sakata, Remarks on the unified model of elementary particles, Prog. Theor. Phys. 28 (1962) 870 [INSPIRE].
D.V. Forero, M. Tortola and J.W.F. Valle, Neutrino oscillations refitted, Phys. Rev. D 90 (2014) 093006 [arXiv:1405.7540] [INSPIRE].
Muon g-2 collaboration, G.W. Bennett et al., Final report of the muon E821 anomalous magnetic moment measurement at BNL, Phys. Rev. D 73 (2006) 072003 [hep-ex/0602035] [INSPIRE].
F. Jegerlehner and A. Nyffeler, The muon g − 2, Phys. Rept. 477 (2009) 1 [arXiv:0902.3360] [INSPIRE].
M. Benayoun, P. David, L. DelBuono and F. Jegerlehner, Upgraded breaking of the HLS model: a full solution to the τ − e + e − and ϕ decay issues and its consequences on g − 2 VMD estimates, Eur. Phys. J. C 72 (2012) 1848 [arXiv:1106.1315] [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].
W. Altmannshofer, S. Gori, M. Pospelov and I. Yavin, Neutrino trident production: a powerful probe of new physics with neutrino beams, Phys. Rev. Lett. 113 (2014) 091801 [arXiv:1406.2332] [INSPIRE].
W. Altmannshofer, S. Gori, M. Pospelov and I. Yavin, Quark flavor transitions in L μ -L τ models, Phys. Rev. D 89 (2014) 095033 [arXiv:1403.1269] [INSPIRE].
CHARM-II collaboration, D. Geiregat et al., First observation of neutrino trident production, Phys. Lett. B 245 (1990) 271 [INSPIRE].
CCFR collaboration, S.R. Mishra et al., Neutrino tridents and W Z interference, Phys. Rev. Lett. 66 (1991) 3117 [INSPIRE].
BaBar collaboration, J.P. Lees et al., Search for a dark photon in e + e − collisions at BaBar, Phys. Rev. Lett. 113 (2014) 201801 [arXiv:1406.2980] [INSPIRE].
S. Baek, P. Ko and W.-I. Park, Local Z 2 scalar dark matter model confronting galactic GeV-scale γ-ray and muon (g − 2), arXiv:1407.6588 [INSPIRE].
ATLAS collaboration, Observation of a new particle in the search for the standard model Higgs boson with the ATLAS detector at the LHC, Phys. Lett. B 716 (2012) 1 [arXiv:1207.7214] [INSPIRE].
CMS collaboration, Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC, Phys. Lett. B 716 (2012) 30 [arXiv:1207.7235] [INSPIRE].
S. Kanemura, K. Tsumura, K. Yagyu and H. Yokoya, Fingerprinting nonminimal Higgs sectors, Phys. Rev. D 90 (2014) 075001 [arXiv:1406.3294] [INSPIRE].
D.M. Asner et al., ILC Higgs white paper, arXiv:1310.0763 [INSPIRE].
S. Dawson et al., Working group report: Higgs boson, arXiv:1310.8361 [INSPIRE].
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Baek, S., Okada, H. & Yagyu, K. Flavour dependent gauged radiative neutrino mass model. J. High Energ. Phys. 2015, 49 (2015). https://doi.org/10.1007/JHEP04(2015)049
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DOI: https://doi.org/10.1007/JHEP04(2015)049