Abstract
When a small vacuum expectation value of Higgs triplet (𝜐∆) in the type-II seesaw model is required to explain neutrino oscillation data, a fine-tuning issue occurs on the mass-dimension lepton-number-violation (LNV) scalar coupling. Using the scotogenic approach, we investigate how a small LNV term is arisen through a radiative correction when an Z2-odd vector-like lepton (X) and an Z2-odd right-handed Majorana lepton (N) are introduced to the type-II seesaw model. Due to the dark matter (DM) direct detection constraints, the available DM candidate is the right-handed Majorana particle, whose mass depends on and is close to the mX parameter. Combing the constraints from the DM measurements, the h → γγ decay, and the oblique T -parameter, it is found that the preferred range of v∆ is approximately in the region of 10−5−10−4 GeV; the mass difference between the doubly and the singly charged Higgs is less than 50 GeV, and the influence on the h → Z γ decay is not significant. Using the constrained parameters, we analyze the decays of each Higgs triplet scalar in detail, including the possible three-body decays when the kinematic condition is allowed. It is found that with the exception of doubly charged Higgs, scalar mixing effects play an important role in the Higgs triplet two-body decays when the scalar masses are near-degenerate. In the non-degenerate mass region, the branching ratios of the Higgs triplet decays are dominated by the three-body decays.
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References
F. Englert and R. Brout, Broken symmetry and the mass of gauge vector mesons, Phys. Rev. Lett.13 (1964) 321 [INSPIRE].
P.W. Higgs, Broken symmetries and the masses of gauge bosons, Phys. Rev. Lett.13 (1964) 508 [INSPIRE].
G.S. Guralnik, C.R. Hagen and T.W.B. Kibble, Global conservation laws and massless particles, Phys. Rev. Lett.13 (1964) 585 [INSPIRE].
J. Schechter and J.W.F. Valle, Neutrino masses in SU(2) × U(1) theories, Phys. Rev.D 22 (1980) 2227 [INSPIRE].
M. Magg and C. Wetterich, Neutrino mass problem and gauge hierarchy, Phys. Lett.B 94 (1980) 61.
T.P. Cheng and L.-F. Li, Neutrino masses, mixings and oscillations in SU(2) × U(1) models of electroweak interactions, Phys. Rev.D 22 (1980) 2860 [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. Senjanovíc, Neutrino masses and mixings in gauge models with spontaneous parity violation, Phys. Rev.D 23 (1981) 165 [INSPIRE].
E.J. Chun, K.Y. Lee and S.C. Park, Testing Higgs triplet model and neutrino mass patterns, Phys. Lett.B 566 (2003) 142 [hep-ph/0304069] [INSPIRE].
R. Franceschini and R.N. Mohapatra, Radiatively induced type-II seesaw models and vectorlike 5/3 charge quarks, Phys. Rev.D 89 (2014) 055013 [arXiv:1306.6108] [INSPIRE].
Y. Cai et al., From the trees to the forest: a review of radiative neutrino mass models, Front. in Phys.5 (2017) 63 [arXiv:1706.08524] [INSPIRE].
E. Ma, Verifiable radiative seesaw mechanism of neutrino mass and dark matter, Phys. Rev.D 73 (2006) 077301 [hep-ph/0601225] [INSPIRE].
S. Fraser, C. Kownacki, E. Ma and O. Popov, Type II radiative Seesaw model of neutrino mass with dark matter, Phys. Rev.D 93 (2016) 013021 [arXiv:1511.06375] [INSPIRE].
V. Brdar, I. Picek and B. Radovcic, Radiative neutrino mass with scotogenic scalar triplet, Phys. Lett.B 728 (2014) 198 [arXiv:1310.3183] [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].
E. Molinaro, C.E. Yaguna and O. Zapata, FIMP realization of the scotogenic model, JCAP07 (2014) 015 [arXiv:1405.1259] [INSPIRE].
A. Vicente and C.E. Yaguna, Probing the scotogenic model with lepton flavor violating processes, JHEP02 (2015) 144 [arXiv:1412.2545] [INSPIRE].
A. Merle and M. Platscher, Parity problem of the scotogenic neutrino model, Phys. Rev.D 92 (2015) 095002 [arXiv:1502.03098] [INSPIRE].
P. Culjak, K. Kumericki and I. Picek, Scotogenic RνMDM at three-loop level, Phys. Lett.B 744 (2015) 237 [arXiv:1502.07887] [INSPIRE].
A. Merle and M. Platscher, Running of radiative neutrino masses: the scotogenic model — Revisited, JHEP11 (2015) 148 [arXiv:1507.06314] [INSPIRE].
J.-H. Yu, Hidden gauged U(1) model: unifying scotogenic neutrino and flavor dark matter, Phys. Rev.D 93 (2016) 113007 [arXiv:1601.02609] [INSPIRE].
A. Ahriche, K.L. McDonald and S. Nasri, The scale-invariant scotogenic model, JHEP06 (2016) 182 [arXiv:1604.05569] [INSPIRE].
P.M. Ferreira, W. Grimus, D. Jurciukonis and L. Lavoura, Scotogenic model for co-bimaximal mixing, JHEP07 (2016) 010 [arXiv:1604.07777] [INSPIRE].
P. Rocha-Moran and A. Vicente, Lepton flavor violation in the singlet-triplet scotogenic model, JHEP07 (2016) 078 [arXiv:1605.01915] [INSPIRE].
T.A. Chowdhury and S. Nasri, The Sommerfeld enhancement in the scotogenic model with large electroweak scalar multiplets, JCAP01 (2017) 041 [arXiv:1611.06590] [INSPIRE].
A.G. Hessler, A. Ibarra, E. Molinaro and S. Vogl, Probing the scotogenic FIMP at the LHC, JHEP01 (2017) 100 [arXiv:1611.09540] [INSPIRE].
M.A. Díaz, N. Rojas, S. Urrutia-Quiroga and J.W.F. Valle, Heavy Higgs boson production at colliders in the singlet-triplet scotogenic dark matter model, JHEP08 (2017) 017 [arXiv:1612.06569] [INSPIRE].
D. Borah and A. Gupta, New viable region of an inert Higgs doublet dark matter model with scotogenic extension, Phys. Rev.D 96 (2017) 115012 [arXiv:1706.05034] [INSPIRE].
A. Abada and T. Toma, Electric dipole moments in the minimal scotogenic model, JHEP04 (2018) 030 [arXiv:1802.00007] [INSPIRE].
C. Hagedorn, J. Herrero-García, E. Molinaro and M.A. Schmidt, Phenomenology of the generalised scotogenic model with fermionic dark matter, JHEP11 (2018) 103 [arXiv:1804.04117] [INSPIRE].
T. Hugle, M. Platscher and K. Schmitz, Low-Scale leptogenesis in the scotogenic neutrino mass model, Phys. Rev.D 98 (2018) 023020 [arXiv:1804.09660] [INSPIRE].
S. Baumholzer, V. Brdar and P. Schwaller, The new νMSM (ννMSM): radiative neutrino masses, keV-scale dark matter and viable leptogenesis with sub-TeV new physics, JHEP08 (2018) 067 [arXiv:1806.06864] [INSPIRE].
N. Rojas, R. Srivastava and J.W.F. Valle, Simplest scoto-seesaw mechanism, Phys. Lett.B 789 (2019) 132 [arXiv:1807.11447] [INSPIRE].
D. Borah, P.S.B. Dev and A. Kumar, TeV scale leptogenesis, inflaton dark matter and neutrino mass in a scotogenic model, Phys. Rev.D 99 (2019) 055012 [arXiv:1810.03645] [INSPIRE].
S. Centelles Chulía, R. Cepedello, E. Peinado and R. Srivastava, Scotogenic dark symmetry as a residual subgroup of standard model symmetries, arXiv:1901.06402 [INSPIRE].
E. Ma, Scotogenic U(1)χ Dirac neutrinos, Phys. Lett.B 793 (2019) 411 [arXiv:1901.09091] [INSPIRE].
S.K. Kang et al., Scotogenic dark matter stability from gauged matter parity, arXiv:1902.05966 [INSPIRE].
C.-H. Chen and T. Nomura, Influence of an inert charged Higgs boson on the muon g − 2 and radiative neutrino masses in a scotogenic model, Phys. Rev.D 100 (2019) 015024 [arXiv:1903.03380] [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].
T. Nomura, H. Okada and Y. Orikasa, Radiative neutrino model with SU(2)L triplet fields, Phys. Rev.D 94 (2016) 115018 [arXiv:1610.04729] [INSPIRE].
T. Nomura and H. Okada, Loop induced type-II seesaw model and GeV dark matter with U(1)B−L gauge symmetry, Phys. Lett.B 774 (2017) 575 [arXiv:1704.08581] [INSPIRE].
M.E. Peskin and T. Takeuchi, Estimation of oblique electroweak corrections, Phys. Rev.D 46 (1992) 381 [INSPIRE].
CMS collaboration, A search for doubly-charged Higgs boson production in three and four lepton final states at \( \sqrt{s} \) = 13 TeV, CMS-PAS-HIG-16-036 (2016).
ATLAS collaboration, Search for doubly charged Higgs boson production in multi-lepton final states with the ATLAS detector using proton–proton collisions at \( \sqrt{s} \) = 13 TeV, Eur. Phys. J.C 78 (2018) 199 [arXiv:1710.09748] [INSPIRE].
ATLAS collaboration, Search for doubly charged scalar bosons decaying into same-sign W boson pairs with the ATLAS detector, Eur. Phys. J.C 79 (2019) 58 [arXiv:1808.01899] [INSPIRE].
ATLAS collabroation, Searches for doubly charged Higgs bosons with the ATLAS detector, PoS(CHARGED 2018)008.
A.G. Akeroyd and M. Aoki, Single and pair production of doubly charged Higgs bosons at hadron colliders, Phys. Rev.D 72 (2005) 035011 [hep-ph/0506176] [INSPIRE].
F. del Aguila and J.A. Aguilar-Saavedra, Distinguishing seesaw models at LHC with multi-lepton signals, Nucl. Phys.B 813 (2009) 22 [arXiv:0808.2468] [INSPIRE].
A. Melfo et al., Type II seesaw at LHC: the roadmap, Phys. Rev.D 85 (2012) 055018 [arXiv:1108.4416] [INSPIRE].
M. Aoki, S. Kanemura and K. Yagyu, Testing the Higgs triplet model with the mass difference at the LHC, Phys. Rev.D 85 (2012) 055007 [arXiv:1110.4625] [INSPIRE].
A.G. Akeroyd and H. Sugiyama, Production of doubly charged scalars from the decay of singly charged scalars in the Higgs triplet model, Phys. Rev.D 84 (2011) 035010 [arXiv:1105.2209] [INSPIRE].
A. Arhrib et al., Higgs boson decay into 2 photons in the type II Seesaw Model, JHEP04 (2012) 136 [arXiv:1112.5453] [INSPIRE].
A.G. Akeroyd, S. Moretti and H. Sugiyama, Five-lepton and six-lepton signatures from production of neutral triplet scalars in the Higgs Triplet Model, Phys. Rev.D 85 (2012) 055026 [arXiv:1201.5047] [INSPIRE].
C.-W. Chiang, T. Nomura and K. Tsumura, Search for doubly charged Higgs bosons using the same-sign diboson mode at the LHC, Phys. Rev.D 85 (2012) 095023 [arXiv:1202.2014] [INSPIRE].
E.J. Chun and P. Sharma, Same-sign tetra-leptons from type II seesaw, JHEP08 (2012) 162 [arXiv:1206.6278] [INSPIRE].
E.J. Chun and P. Sharma, Search for a doubly-charged boson in four lepton final states in type-II seesaw, Phys. Lett.B 728 (2014) 256 [arXiv:1309.6888] [INSPIRE].
M. Chabab, M.C. Peyranere and L. Rahili, Degenerate Higgs bosons decays to γγ and Z γ in the type-II seesaw model, Phys. Rev.D 90 (2014) 035026 [arXiv:1407.1797] [INSPIRE].
Z.-L. Han, R. Ding and Y. Liao, LHC phenomenology of type II seesaw: nondegenerate case, Phys. Rev.D 91 (2015) 093006 [arXiv:1502.05242] [INSPIRE].
S.-Y. Guo, Z.-L. Han and Y. Liao, Testing the type-II radiative seesaw model: from dark matter detection to LHC signatures, Phys. Rev.D 94 (2016) 115014 [arXiv:1609.01018] [INSPIRE].
M. Mitra, S. Niyogi and M. Spannowsky, Type-II seesaw model and multilepton signatures at hadron colliders, Phys. Rev.D 95 (2017) 035042 [arXiv:1611.09594] [INSPIRE].
D.K. Ghosh, N. Ghosh, I. Saha and A. Shaw, Revisiting the high-scale validity of the type-II seesaw model with novel LHC signature, Phys. Rev.D 97 (2018) 115022 [arXiv:1711.06062] [INSPIRE].
P.S.B. Dev, M.J. Ramsey-Musolf and Y. Zhang, Doubly-charged scalars in the type-II seesaw mechanism: fundamental symmetry tests and high-energy searches, Phys. Rev.D 98 (2018) 055013 [arXiv:1806.08499] [INSPIRE].
P.S. Bhupal Dev and Y. Zhang, Displaced vertex signatures of doubly charged scalars in the type-II seesaw and its left-right extensions, JHEP10 (2018) 199 [arXiv:1808.00943] [INSPIRE].
Y. Du, A. Dunbrack, M.J. Ramsey-Musolf and J.-H. Yu, Type-II seesaw scalar triplet model at a 100 TeV pp collider: discovery and Higgs portal coupling determination, JHEP01 (2019) 101 [arXiv:1810.09450] [INSPIRE].
S. Antusch, O. Fischer, A. Hammad and C. Scherb, Low scale type-II seesaw: Present constraints and prospects for displaced vertex searches, JHEP02 (2019) 157 [arXiv:1811.03476] [INSPIRE].
S. Bhattacharya, P. Ghosh, N. Sahoo and N. Sahu, Mini review on vector-like leptonic dark matter, neutrino mass and collider signatures, Front. in Phys.7 (2019) 80 [arXiv:1812.06505] [INSPIRE].
B. Barman et al., Fermion dark matter with scalar triplet at direct and collider searches, Phys. Rev.D 100 (2019) 015027 [arXiv:1902.01217] [INSPIRE].
R. Primulando, J. Julio and P. Uttayarat, Scalar phenomenology in type-II seesaw model, JHEP08 (2019) 024 [arXiv:1903.02493] [INSPIRE].
XENON collaboration, Dark matter search results from a one ton-year exposure of XENON1T, Phys. Rev. Lett.121 (2018) 111302 [arXiv:1805.12562] [INSPIRE].
PICO collaboration, Dark matter search results from the PICO-60 C3 F8 bubble chamber, Phys. Rev. Lett.118 (2017) 251301 [arXiv:1702.07666] [INSPIRE].
XENON collaboration, Constraining the spin-dependent WIMP-nucleon cross sections with XENON1T, Phys. Rev. Lett.122 (2019) 141301 [arXiv:1902.03234] [INSPIRE].
C. Bonilla, R.M. Fonseca and J.W.F. Valle, Consistency of the triplet seesaw model revisited, Phys. Rev.D 92 (2015) 075028 [arXiv:1508.02323] [INSPIRE].
G. Arcadi, A. Djouadi and M. Raidal, Dark matter through the Higgs portal, arXiv:1903.03616 [INSPIRE].
A. Alves, A. Berlin, S. Profumo and F.S. Queiroz, Dark matter complementarity and the Z′ portal, Phys. Rev.D 92 (2015) 083004 [arXiv:1501.03490] [INSPIRE].
G. Bélanger, F. Boudjema, A. Pukhov and A. Semenov, Dark matter direct detection rate in a generic model with MicrOMEGAs 2.2, Comput. Phys. Commun.180 (2009) 747 [arXiv:0803.2360] [INSPIRE].
L. Lavoura and L.-F. Li, Making the small oblique parameters large, Phys. Rev.D 49 (1994) 1409 [hep-ph/9309262] [INSPIRE].
A. Arhrib et al., The Higgs potential in the type II seesaw model, Phys. Rev.D 84 (2011) 095005 [arXiv:1105.1925] [INSPIRE].
K. Kannike, Vacuum stability conditions from copositivity criteria, Eur. Phys. J.C 72 (2012) 2093 [arXiv:1205.3781] [INSPIRE].
Particle Data Group collaboration, Review of particle physics, Phys. Rev.D 98 (2018) 030001 [INSPIRE].
P.F. de Salas et al., Status of neutrino oscillations 2018: 3σ hint for normal mass ordering and improved CP sensitivity, Phys. Lett.B 782 (2018) 633 [arXiv:1708.01186] [INSPIRE].
J.F. Gunion, H.E. Haber, G.L. Kane and S. Dawson, Errata for the Higgs hunter’s guide, hep-ph/9302272 [INSPIRE].
A. Denner et al., Standard model Higgs-boson branching ratios with uncertainties, Eur. Phys. J.C 71 (2011) 1753 [arXiv:1107.5909] [INSPIRE].
ATLAS collaboration, Combined measurements of Higgs boson production and decay using up to 80 fb−1of proton–proton collision data at \( \sqrt{s} \) = 13 TeV collected with the ATLAS experiment, ATLAS-CONF-2019-005 (2019).
CMS collaboration, Measurements of Higgs boson production via gluon fusion and vector boson fusion in the diphoton decay channel at \( \sqrt{s} \) = 13 TeV, CMS-PAS-HIG-18-029 (2018).
E.J. Chun, H.M. Lee and P. Sharma, Vacuum stability, perturbativity, EWPD and Higgs-to-diphoton rate in type II seesaw models, JHEP11 (2012) 106 [arXiv:1209.1303] [INSPIRE].
Planck collaboration, Planck 2015 results. XIII. Cosmological parameters, Astron. Astrophys.594 (2016) A13 [arXiv:1502.01589] [INSPIRE].
R.N. Cahn, M.S. Chanowitz and N. Fleishon, Higgs particle production by Z → H γ, Phys. Lett.B 82 (1979) 113.
L. Bergstrom and G. Hulth, Induced Higgs couplings to neutral bosons in e+e−collisions, Nucl. Phys.B 259 (1985) 137 [Erratum ibid.B 276 (1986) 744] [INSPIRE].
F. Arbabifar, S. Bahrami and M. Frank, Neutral Higgs bosons in the Higgs triplet model with nontrivial mixing, Phys. Rev.D 87 (2013) 015020 [arXiv:1211.6797] [INSPIRE].
P.S. Bhupal Dev, D.K. Ghosh, N. Okada and I. Saha, 125 GeV Higgs boson and the type-II seesaw model, JHEP03 (2013) 150 [Erratum ibid.05 (2013) 049] [arXiv:1301.3453] [INSPIRE].
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Chen, CH., Nomura, T. Radiatively scotogenic type-II seesaw and a relevant phenomenological analysis. J. High Energ. Phys. 2019, 5 (2019). https://doi.org/10.1007/JHEP10(2019)005
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DOI: https://doi.org/10.1007/JHEP10(2019)005