Abstract
We propose a Majorana fermion dark matter in the context of a simple gauge-Higgs Unification (GHU) scenario based on the gauge group SU(3)×U(1)′ in 5-dimensional Minkowski space with a compactification of the 5th dimension on S 1/Z 2 orbifold. The dark matter particle is identified with the lightest mode in SU(3) triplet fermions additionally introduced in the 5-dimensional bulk. We find an allowed parameter region for the dark matter mass around a half of the Standard Model Higgs boson mass, which is consistent with the observed dark matter density and the constraint from the LUX 2016 result for the direct dark matter search. The entire allowed region will be covered by, for example, the LUX-ZEPLIN dark matter experiment in the near future. We also show that in the presence of the bulk SU(3) triplet fermions the 125 GeV Higgs boson mass is reproduced through the renormalization group evolution of Higgs quartic coupling with the compactification scale of around 108 GeV.
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References
N.S. Manton, A New Six-Dimensional Approach to the Weinberg-Salam Model, Nucl. Phys. B 158 (1979) 141 [INSPIRE].
D.B. Fairlie, Higgs’ Fields and the Determination of the Weinberg Angle, Phys. Lett. B 82 (1979) 97 [INSPIRE].
D.B. Fairlie, Two Consistent Calculations of the Weinberg Angle, J. Phys. G 5 (1979) L55 [INSPIRE].
Y. Hosotani, Dynamical Mass Generation by Compact Extra Dimensions, Phys. Lett. B 126 (1983) 309 [INSPIRE].
Y. Hosotani, Dynamical Gauge Symmetry Breaking as the Casimir Effect, Phys. Lett. B 129 (1983) 193 [INSPIRE].
Y. Hosotani, Dynamics of Nonintegrable Phases and Gauge Symmetry Breaking, Annals Phys. 190 (1989) 233 [INSPIRE].
I. Antoniadis, K. Benakli and M. Quirós, Finite Higgs mass without supersymmetry, New J. Phys. 3 (2001) 20 [hep-th/0108005] [INSPIRE].
G. von Gersdorff, N. Irges and M. Quirós, Bulk and brane radiative effects in gauge theories on orbifolds, Nucl. Phys. B 635 (2002) 127 [hep-th/0204223] [INSPIRE].
R. Contino, Y. Nomura and A. Pomarol, Higgs as a holographic pseudoGoldstone boson, Nucl. Phys. B 671 (2003) 148 [hep-ph/0306259] [INSPIRE].
C.S. Lim, N. Maru and K. Hasegawa, Six Dimensional Gauge-Higgs Unification with an Extra Space S 2 and the Hierarchy Problem, J. Phys. Soc. Jap. 77 (2008) 074101 [hep-th/0605180] [INSPIRE].
N. Maru and T. Yamashita, Two-loop Calculation of Higgs Mass in Gauge-Higgs Unification: 5D Massless QED Compactified on S 1, Nucl. Phys. B 754 (2006) 127 [hep-ph/0603237] [INSPIRE].
Y. Hosotani, N. Maru, K. Takenaga and T. Yamashita, Two Loop finiteness of Higgs mass and potential in the gauge-Higgs unification, Prog. Theor. Phys. 118 (2007) 1053 [arXiv:0709.2844] [INSPIRE].
N. Maru and N. Okada, Gauge-Higgs unification at LHC, Phys. Rev. D 77 (2008) 055010 [arXiv:0711.2589] [INSPIRE].
N. Maru, Finite Gluon Fusion Amplitude in the Gauge-Higgs Unification, Mod. Phys. Lett. A 23 (2008) 2737 [arXiv:0803.0380] [INSPIRE].
N. Maru and N. Okada, Diphoton decay excess and 125 GeV Higgs boson in gauge-Higgs unification, Phys. Rev. D 87 (2013) 095019 [arXiv:1303.5810] [INSPIRE].
Y. Adachi, C.S. Lim and N. Maru, Finite anomalous magnetic moment in the gauge-Higgs unification, Phys. Rev. D 76 (2007) 075009 [arXiv:0707.1735] [INSPIRE].
Y. Adachi, C.S. Lim and N. Maru, More on the Finiteness of Anomalous Magnetic Moment in the Gauge-Higgs Unification, Phys. Rev. D 79 (2009) 075018 [arXiv:0901.2229] [INSPIRE].
Y. Adachi, C.S. Lim and N. Maru, Neutron Electric Dipole Moment in the Gauge-Higgs Unification, Phys. Rev. D 80 (2009) 055025 [arXiv:0905.1022] [INSPIRE].
N. Maru and N. Okada, 125 GeV Higgs Boson and TeV Scale Colored Fermions in Gauge-Higgs Unification, arXiv:1310.3348 [INSPIRE].
J. Carson and N. Okada, 125 GeV Higgs boson mass from 5D gauge-Higgs unification, arXiv:1510.03092 [INSPIRE].
M. Regis, M. Serone and P. Ullio, A Dark Matter Candidate from an Extra (Non-Universal) Dimension, JHEP 03 (2007) 084 [hep-ph/0612286] [INSPIRE].
G. Panico, E. Ponton, J. Santiago and M. Serone, Dark Matter and Electroweak Symmetry Breaking in Models with Warped Extra Dimensions, Phys. Rev. D 77 (2008) 115012 [arXiv:0801.1645] [INSPIRE].
M. Carena, A.D. Medina, N.R. Shah and C.E.M. Wagner, Gauge-Higgs Unification, Neutrino Masses and Dark Matter in Warped Extra Dimensions, Phys. Rev. D 79 (2009) 096010 [arXiv:0901.0609] [INSPIRE].
Y. Hosotani, P. Ko and M. Tanaka, Stable Higgs Bosons as Cold Dark Matter, Phys. Lett. B 680 (2009) 179 [arXiv:0908.0212] [INSPIRE].
N. Haba, S. Matsumoto, N. Okada and T. Yamashita, Gauge-Higgs Dark Matter, JHEP 03 (2010) 064 [arXiv:0910.3741] [INSPIRE].
C.A. Scrucca, M. Serone and L. Silvestrini, Electroweak symmetry breaking and fermion masses from extra dimensions, Nucl. Phys. B 669 (2003) 128 [hep-ph/0304220] [INSPIRE].
G. Cacciapaglia, C. Csáki and S.C. Park, Fully radiative electroweak symmetry breaking, JHEP 03 (2006) 099 [hep-ph/0510366] [INSPIRE].
Particle Data Group collaboration, C. Patrignani et al., Review of Particle Physics, Chin. Phys. C 40 (2016) 100001 [INSPIRE].
N. Arkani-Hamed, A. Delgado and G.F. Giudice, The Well-tempered neutralino, Nucl. Phys. B 741 (2006) 108 [hep-ph/0601041] [INSPIRE].
Planck collaboration, N. Aghanim et al., Planck 2015 results. XI. CMB power spectra, likelihoods and robustness of parameters, Astron. Astrophys. 594 (2016) A11 [arXiv:1507.02704] [INSPIRE].
K. Bora, Updated values of running quark and lepton masses at GUT scale in SM, 2HDM and MSSM, Horizon 2 (2013) [arXiv:1206.5909] [INSPIRE].
A. Denner, S. Heinemeyer, I. Puljak, D. Rebuzzi and M. Spira, Standard Model Higgs-Boson Branching Ratios with Uncertainties, Eur. Phys. J. C 71 (2011) 1753 [arXiv:1107.5909] [INSPIRE].
LUX collaboration, D.S. Akerib et al., Results from a search for dark matter in the complete LUX exposure, Phys. Rev. Lett. 118 (2017) 021303 [arXiv:1608.07648] [INSPIRE].
LUX, LZ collaboration, M. Szydagis, The Present and Future of Searching for Dark Matter with LUX and LZ, PoS(ICHEP2016)220 [arXiv:1611.05525] [INSPIRE].
H. Ohki, H. Fukaya, S. Hashimoto, T. Kaneko, H. Matsufuru, J. Noaki et al., Nucleon sigma term and strange quark content from lattice QCD with exact chiral symmetry, Phys. Rev. D 78 (2008) 054502 [arXiv:0806.4744] [INSPIRE].
R.J. Crewther, Nonperturbative evaluation of the anomalies in low-energy theorems, Phys. Rev. Lett. 28 (1972) 1421 [INSPIRE].
M.S. Chanowitz and J.R. Ellis, Canonical Anomalies and Broken Scale Invariance, Phys. Lett. B 40 (1972) 397 [INSPIRE].
M.S. Chanowitz and J.R. Ellis, Canonical Trace Anomalies, Phys. Rev. D 7 (1973) 2490 [INSPIRE].
J.C. Collins, A. Duncan and S.D. Joglekar, Trace and Dilatation Anomalies in Gauge Theories, Phys. Rev. D 16 (1977) 438 [INSPIRE].
M.A. Shifman, A.I. Vainshtein and V.I. Zakharov, Remarks on Higgs Boson Interactions with Nucleons, Phys. Lett. B 78 (1978) 443 [INSPIRE].
N. Haba, S. Matsumoto, N. Okada and T. Yamashita, Effective theoretical approach of Gauge-Higgs unification model and its phenomenological applications, JHEP 02 (2006) 073 [hep-ph/0511046] [INSPIRE].
N. Haba, S. Matsumoto, N. Okada and T. Yamashita, Effective Potential of Higgs Field in Warped Gauge-Higgs Unification, Prog. Theor. Phys. 120 (2008) 77 [arXiv:0802.3431] [INSPIRE].
M.E. Machacek and M.T. Vaughn, Two Loop Renormalization Group Equations in a General Quantum Field Theory. 1. Wave Function Renormalization, Nucl. Phys. B 222 (1983) 83 [INSPIRE].
M.E. Machacek and M.T. Vaughn, Two Loop Renormalization Group Equations in a General Quantum Field Theory. 2. Yukawa Couplings, Nucl. Phys. B 236 (1984) 221 [INSPIRE].
M.E. Machacek and M.T. Vaughn, Two Loop Renormalization Group Equations in a General Quantum Field Theory. 3. Scalar Quartic Couplings, Nucl. Phys. B 249 (1985) 70 [INSPIRE].
C. Ford, I. Jack and D.R.T. Jones, The Standard model effective potential at two loops, Nucl. Phys. B 387 (1992) 373 [Erratum ibid. B 504 (1997) 551] [hep-ph/0111190] [INSPIRE].
H. Arason, D.J. Castano, B. Keszthelyi, S. Mikaelian, E.J. Piard, P. Ramond et al., Renormalization group study of the standard model and its extensions. 1. The Standard model, Phys. Rev. D 46 (1992) 3945 [INSPIRE].
V.D. Barger, M.S. Berger and P. Ohmann, Supersymmetric grand unified theories: Two loop evolution of gauge and Yukawa couplings, Phys. Rev. D 47 (1993) 1093 [hep-ph/9209232] [INSPIRE].
M.-x. Luo and Y. Xiao, Two loop renormalization group equations in the standard model, Phys. Rev. Lett. 90 (2003) 011601 [hep-ph/0207271] [INSPIRE].
D. Buttazzo, G. Degrassi, P.P. Giardino, G.F. Giudice, F. Sala, A. Salvio et al., Investigating the near-criticality of the Higgs boson, JHEP 12 (2013) 089 [arXiv:1307.3536] [INSPIRE].
ATLAS, CDF, CMS, D0 collaboration, First combination of Tevatron and LHC measurements of the top-quark mass, arXiv:1403.4427 [INSPIRE].
ATLAS, CMS collaboration, G. Aad et al., Combined Measurement of the Higgs Boson Mass in pp Collisions at \( \sqrt{s}=7 \) and 8 TeV with the ATLAS and CMS Experiments, Phys. Rev. Lett. 114 (2015) 191803 [arXiv:1503.07589] [INSPIRE].
N. Maru, N. Okada and S. Okada, in preparation.
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Maru, N., Miyaji, T., Okada, N. et al. Fermion dark matter in gauge-Higgs unification. J. High Energ. Phys. 2017, 48 (2017). https://doi.org/10.1007/JHEP07(2017)048
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DOI: https://doi.org/10.1007/JHEP07(2017)048