Abstract
A simple model of dark matter contains a light Dirac field charged under a hidden U(1) gauge symmetry. When a chiral matter content in a strong dynamics satisfies the t’Hooft anomaly matching condition, a massless baryon is a natural candidate of the light Dirac field. One realization is the same matter content as the standard SU(5) × U(1)(B−L) grand unified theory. We propose a chiral [SU(5) × U(1)]4 gauge theory as a unified model of the SM and DM sectors. The low-energy dynamics, which was recently studied, is governed by the hidden U(1)4 gauge interaction and the third-family \( \mathrm{U}{(1)}_{{\left(B-L\right)}_3} \) gauge interaction. This model can realize self-interacting dark matter and alleviate the small-scale crisis of collisionless cold dark matter in the cosmological structure formation. The model can also address the semi-leptonic B-decay anomaly reported by the LHCb experiment.
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References
J.C. Pati and A. Salam, Lepton Number as the Fourth Color, Phys. Rev.D 10 (1974) 275 [Erratum ibid.D 11 (1975) 703] [INSPIRE].
H. Terazawa, Y. Chikashige and K. Akama, Unified Model of the Nambu-Jona-Lasinio Type for All Elementary Particle Forces, Phys. Rev.D 15 (1977) 480 [INSPIRE].
Y. Ne’eman, Irreducible Gauge Theory of a Consolidated Weinberg-Salam Model, Phys. Lett.B 81 (1979) 190 [INSPIRE].
H. Harari, A Schematic Model of Quarks and Leptons, Phys. Lett.B 86 (1979) 83 [INSPIRE].
M.A. Shupe, A Composite Model of Leptons and Quarks, Phys. Lett.B 86 (1979) 87 [INSPIRE].
H. Fritzsch and G. Mandelbaum, Weak Interactions as Manifestations of the Substructure of Leptons and Quarks, Phys. Lett.B 102 (1981) 319 [INSPIRE].
G. ’t Hooft, Naturalness, chiral symmetry, and spontaneous chiral symmetry breaking, NATO Sci. Ser.B 59 (1980) 135.
S. Dimopoulos, S. Raby and L. Susskind, Light Composite Fermions, Nucl. Phys.B 173 (1980) 208 [INSPIRE].
N. Arkani-Hamed and Y. Grossman, Light active and sterile neutrinos from compositeness, Phys. Lett.B 459 (1999) 179 [hep-ph/9806223] [INSPIRE].
M.B. Gavela, M. Ibe, P. Quilez and T.T. Yanagida, Automatic Peccei-Quinn symmetry, Eur. Phys. J.C 79 (2019) 542 [arXiv:1812.08174] [INSPIRE].
D.K. Hong, A model of light dark matter and dark radiation, arXiv:1808.10149 [INSPIRE].
A. Kamada, M. Yamada and T.T. Yanagida, Self-interacting dark matter with a vector mediator: kinetic mixing with the \( \mathrm{U}{(1)}_{{\left(B-L\right)}_3} \)gauge boson, JHEP03 (2019) 021 [arXiv:1811.02567] [INSPIRE].
S. Tulin and H.-B. Yu, Dark Matter Self-interactions and Small Scale Structure, Phys. Rept.730 (2018) 1 [arXiv:1705.02358] [INSPIRE].
A. Kamada, M. Kaplinghat, A.B. Pace and H.-B. Yu, Self-Interacting Dark Matter Can Explain Diverse Galactic Rotation Curves, Phys. Rev. Lett.119 (2017) 111102 [arXiv:1611.02716] [INSPIRE].
P. Creasey, O. Sameie, L.V. Sales, H.-B. Yu, M. Vogelsberger and J. Zavala, Spreading out and staying sharp — creating diverse rotation curves via baryonic and self-interaction effects, Mon. Not. Roy. Astron. Soc.468 (2017) 2283 [arXiv:1612.03903] [INSPIRE].
T. Ren, A. Kwa, M. Kaplinghat and H.-B. Yu, Reconciling the Diversity and Uniformity of Galactic Rotation Curves with Self-Interacting Dark Matter, arXiv:1808.05695 [INSPIRE].
K.A. Oman et al., The unexpected diversity of dwarf galaxy rotation curves, Mon. Not. Roy. Astron. Soc.452 (2015) 3650 [arXiv:1504.01437] [INSPIRE].
J.S. Bullock and M. Boylan-Kolchin, Small-Scale Challenges to the ΛCDM Paradigm, Ann. Rev. Astron. Astrophys.55 (2017) 343 [arXiv:1707.04256] [INSPIRE].
M. Kaplinghat, S. Tulin and H.-B. Yu, Dark Matter Halos as Particle Colliders: Unified Solution to Small-Scale Structure Puzzles from Dwarfs to Clusters, Phys. Rev. Lett.116 (2016) 041302 [arXiv:1508.03339] [INSPIRE].
J.L. Feng, M. Kaplinghat, H. Tu and H.-B. Yu, Hidden Charged Dark Matter, JCAP07 (2009) 004 [arXiv:0905.3039] [INSPIRE].
S. Tulin, H.-B. Yu and K.M. Zurek, Resonant Dark Forces and Small Scale Structure, Phys. Rev. Lett.110 (2013) 111301 [arXiv:1210.0900] [INSPIRE].
B. Dasgupta and J. Kopp, Cosmologically Safe eV-Scale Sterile Neutrinos and Improved Dark Matter Structure, Phys. Rev. Lett.112 (2014) 031803 [arXiv:1310.6337] [INSPIRE].
T. Bringmann, J. Hasenkamp and J. Kersten, Tight bonds between sterile neutrinos and dark matter, JCAP07 (2014) 042 [arXiv:1312.4947] [INSPIRE].
P. Ko and Y. Tang, νΛMDM: A model for sterile neutrino and dark matter reconciles cosmological and neutrino oscillation data after BICEP2, Phys. Lett.B 739 (2014) 62 [arXiv:1404.0236] [INSPIRE].
J.F. Cherry, A. Friedland and I.M. Shoemaker, Neutrino Portal Dark Matter: From Dwarf Galaxies to IceCube, arXiv:1411.1071 [INSPIRE].
T. Kitahara and Y. Yamamoto, Protophobic Light Vector Boson as a Mediator to the Dark Sector, Phys. Rev.D 95 (2017) 015008 [arXiv:1609.01605] [INSPIRE].
E. Ma, Inception of Self-Interacting Dark Matter with Dark Charge Conjugation Symmetry, Phys. Lett.B 772 (2017) 442 [arXiv:1704.04666] [INSPIRE].
A. Kamada, K. Kaneta, K. Yanagi and H.-B. Yu, Self-interacting dark matter and muon g−2 in a gauged \( \mathrm{U}{(1)}_{L_{\mu }-{L}_{\tau }} \)model, JHEP06 (2018) 117 [arXiv:1805.00651] [INSPIRE].
O. Balducci, S. Hofmann and A. Kassiteridis, Flavor structures in the Dark Standard Model TeV-Paradigm, arXiv:1810.07198 [INSPIRE].
R. Alonso, P. Cox, C. Han and T.T. Yanagida, Flavoured B − L local symmetry and anomalous rare B decays, Phys. Lett.B 774 (2017) 643 [arXiv:1705.03858] [INSPIRE].
Belle collaboration, Lepton-Flavor-Dependent Angular Analysis of B → K ∗ℓ +ℓ −, Phys. Rev. Lett.118 (2017) 111801 [arXiv:1612.05014] [INSPIRE].
Belle collaboration, Test of lepton flavor universality in B → K ∗ℓ +ℓ −decays at Belle, arXiv:1904.02440 [INSPIRE].
LHCb collaboration, Test of lepton universality using B + → K +ℓ +ℓ −decays, Phys. Rev. Lett.113 (2014) 151601 [arXiv:1406.6482] [INSPIRE].
LHCb collaboration, Test of lepton universality with B 0 → K ∗0ℓ +ℓ −decays, JHEP08 (2017) 055 [arXiv:1705.05802] [INSPIRE].
LHCb collaboration, Search for lepton-universality violation in B + → K +ℓ +ℓ −decays, Phys. Rev. Lett.122 (2019) 191801 [arXiv:1903.09252] [INSPIRE].
A.K. Alok, A. Dighe, S. Gangal and D. Kumar, Continuing search for new physics in b→sμμ decays: two operators at a time, JHEP06 (2019) 089 [arXiv:1903.09617] [INSPIRE].
M. Ciuchini et al., New Physics in b → sℓ +ℓ −confronts new data on Lepton Universality, arXiv:1903.09632 [INSPIRE].
J. Aebischer, W. Altmannshofer, D. Guadagnoli, M. Reboud, P. Stangl and D.M. Straub, B-decay discrepancies after Moriond 2019, arXiv:1903.10434 [INSPIRE].
K. Kowalska, D. Kumar and E.M. Sessolo, Implications for New Physics in b → sμμ transitions after recent measurements by Belle and LHCb, arXiv:1903.10932 [INSPIRE].
P. Minkowski, μ → eγ at a Rate of One Out of 109Muon Decays?, Phys. Lett.B 67 (1977) 421 [INSPIRE].
T. Yanagida, Horizontal gauge symmetry and masses of neutrinos, Conf. Proc.C 7902131 (1979) 95 [INSPIRE].
M. Gell-Mann, P. Ramond and R. Slansky, Complex Spinors and Unified Theories, Conf. Proc.C 790927 (1979) 315 [arXiv:1306.4669] [INSPIRE].
S.L. Glashow, The Future of Elementary Particle Physics, NATO Sci. Ser.B 61 (1980) 687 [INSPIRE].
M. Fukugita and T. Yanagida, Baryogenesis Without Grand Unification, Phys. Lett.B 174 (1986) 45 [INSPIRE].
W. Buchmüller, P. Di Bari and M. Plümacher, Cosmic microwave background, matter-antimatter asymmetry and neutrino masses, Nucl. Phys.B 643 (2002) 367 [Erratum ibid.B 793 (2008) 362] [hep-ph/0205349] [INSPIRE].
G.F. Giudice, A. Notari, M. Raidal, A. Riotto and A. Strumia, Towards a complete theory of thermal leptogenesis in the SM and MSSM, Nucl. Phys.B 685 (2004) 89 [hep-ph/0310123] [INSPIRE].
W. Buchmüller, R.D. Peccei and T. Yanagida, Leptogenesis as the origin of matter, Ann. Rev. Nucl. Part. Sci.55 (2005) 311 [hep-ph/0502169] [INSPIRE].
S. Davidson, E. Nardi and Y. Nir, Leptogenesis, Phys. Rept.466 (2008) 105 [arXiv:0802.2962] [INSPIRE].
K.S. Babu, S.M. Barr and I. Gogoladze, Family Unification with SO(10), Phys. Lett.B 661 (2008) 124 [arXiv:0709.3491] [INSPIRE].
P. Cox, A. Kusenko, O. Sumensari and T.T. Yanagida, SU(5) Unification with TeV-scale Leptoquarks, JHEP03 (2017) 035 [arXiv:1612.03923] [INSPIRE].
H. Murayama and T. Yanagida, A viable SU(5) GUT with light leptoquark bosons, Mod. Phys. Lett.A 7 (1992) 147 [INSPIRE].
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Kamada, A., Yamada, M. & Yanagida, T.T. Unification of the standard model and dark matter sectors in [SU(5) × U(1)]4. J. High Energ. Phys. 2019, 180 (2019). https://doi.org/10.1007/JHEP07(2019)180
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DOI: https://doi.org/10.1007/JHEP07(2019)180