Abstract
We construct models with minimal field content that can simultaneously explain the muon g − 2 anomaly and give the correct dark matter relic abundance. These models fall into two general classes, whether or not the new fields couple to the Higgs. For the general structure of models without new Higgs couplings, we provide analytical expressions that only depend on the SU(2)L representation. These results allow to demonstrate that only few models in this class can simultaneously explain (g − 2)μ and account for the relic abundance. The experimental constraints and perturbativity considerations exclude all such models, apart from a few fine-tuned regions in the parameter space, with new states in the few 100 GeV range. In the models with new Higgs couplings, the new states can be parametrically heavier by a factor \( \sqrt{1/{y}_{\mu }} \), with yμ the muon Yukawa coupling, resulting in masses for the new states in the TeV regime. At present these models are not well constrained experimentally, which we illustrate on two representative examples.
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J. Abdallah et al., Simplified models for dark matter searches at the LHC, Phys. Dark Univ. 9-10 (2015) 8 [arXiv:1506.03116] [INSPIRE].
A. Freitas, S. Westhoff and J. Zupan, Integrating in the Higgs portal to fermion dark matter, JHEP 09 (2015) 015 [arXiv:1506.04149] [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].
Muon g-2 collaboration, G.W. Bennett et al., Measurement of the negative muon anomalous magnetic moment to 0.7 ppm, Phys. Rev. Lett. 92 (2004) 161802 [hep-ex/0401008] [INSPIRE].
Muon g-2 collaboration, G.W. Bennett et al., Measurement of the positive muon anomalous magnetic moment to 0.7 ppm, Phys. Rev. Lett. 89 (2002) 101804 [Erratum ibid. 89 (2002) 129903] [hep-ex/0208001] [INSPIRE].
Muon g-2 collaboration, H.N. Brown et al., Precise measurement of the positive muon anomalous magnetic moment, Phys. Rev. Lett. 86 (2001) 2227 [hep-ex/0102017] [INSPIRE].
F. Jegerlehner and A. Nyffeler, The muon g − 2, Phys. Rept. 477 (2009) 1 [arXiv:0902.3360] [INSPIRE].
K. Hagiwara, R. Liao, A.D. Martin, D. Nomura and T. Teubner, (g − 2)μ and α(M 2 Z ) re-evaluated using new precise data, J. Phys. G 38 (2011) 085003 [arXiv:1105.3149] [INSPIRE].
M. Davier, A. Hoecker, B. Malaescu and Z. Zhang, Reevaluation of the hadronic contributions to the muon g − 2 and to α(M 2 Z ), Eur. Phys. J. C 71 (2011) 1515 [Erratum ibid. C 72 (2012) 1874] [arXiv:1010.4180] [INSPIRE].
T. Blum et al., The muon (g − 2) theory value: present and future, arXiv:1311.2198 [INSPIRE].
A. Freitas, J. Lykken, S. Kell and S. Westhoff, Testing the muon g − 2 anomaly at the LHC, JHEP 05 (2014) 145 [Erratum ibid. 09 (2014) 155] [arXiv:1402.7065] [INSPIRE].
F.S. Queiroz and W. Shepherd, New physics contributions to the muon anomalous magnetic moment: a numerical code, Phys. Rev. D 89 (2014) 095024 [arXiv:1403.2309] [INSPIRE].
C. Biggio and M. Bordone, Minimal muon anomalous magnetic moment, JHEP 02 (2015) 099 [arXiv:1411.6799] [INSPIRE].
C. Biggio, M. Bordone, L. Di Luzio and G. Ridolfi, Massive vectors and loop observables: the g − 2 case, JHEP 10 (2016) 002 [arXiv:1607.07621] [INSPIRE].
D. Chakraverty, D. Choudhury and A. Datta, A nonsupersymmetric resolution of the anomalous muon magnetic moment, Phys. Lett. B 506 (2001) 103 [hep-ph/0102180] [INSPIRE].
E. Coluccio Leskow, G. D’Ambrosio, A. Crivellin and D. Müller, (g − 2)μ , lepton flavor violation and Z decays with leptoquarks: correlations and future prospects, Phys. Rev. D 95 (2017) 055018 [arXiv:1612.06858] [INSPIRE].
A. Broggio, E.J. Chun, M. Passera, K.M. Patel and S.K. Vempati, Limiting two-Higgs-doublet models, JHEP 11 (2014) 058 [arXiv:1409.3199] [INSPIRE].
A. Cherchiglia, P. Kneschke, D. Stöckinger and H. Stöckinger-Kim, The muon magnetic moment in the 2HDM: complete two-loop result, JHEP 01 (2017) 007 [arXiv:1607.06292] [INSPIRE].
W.J. Marciano, A. Masiero, P. Paradisi and M. Passera, Contributions of axionlike particles to lepton dipole moments, Phys. Rev. D 94 (2016) 115033 [arXiv:1607.01022] [INSPIRE].
C.-S. Chen and C.-H. Chou, Neutrino masses, muon g − 2, dark matter, lithium problem and leptogenesis at TeV-scale, Phys. Lett. B 699 (2011) 68 [arXiv:0905.3477] [INSPIRE].
P. Agrawal, Z. Chacko and C.B. Verhaaren, Leptophilic dark matter and the anomalous magnetic moment of the muon, JHEP 08 (2014) 147 [arXiv:1402.7369] [INSPIRE].
S. Baek, Dark matter and muon (g − 2) in local \( \mathrm{U}{(1)}_{L_{\mu }-{L}_{\tau }} \) -extended Ma model, Phys. Lett. B 756 (2016) 1 [arXiv:1510.02168] [INSPIRE].
G. Bélanger, C. Delaunay and S. Westhoff, A dark matter relic from muon anomalies, Phys. Rev. D 92 (2015) 055021 [arXiv:1507.06660] [INSPIRE].
K. Kowalska and E.M. Sessolo, Expectations for the muon g − 2 in simplified models with dark matter, JHEP 09 (2017) 112 [arXiv:1707.00753] [INSPIRE].
M. Lindner, M. Platscher and F.S. Queiroz, A call for new physics: the muon anomalous magnetic moment and lepton flavor violation, Phys. Rept. 731 (2018) 1 [arXiv:1610.06587] [INSPIRE].
Muon g-2 collaboration, J. Grange et al., Muon (g − 2) technical design report, arXiv:1501.06858 [INSPIRE].
L. Calibbi and G. Signorelli, Charged lepton flavour violation: an experimental and theoretical introduction, Riv. Nuovo Cim. 41 (2018) 1 [arXiv:1709.00294] [INSPIRE].
MEG collaboration, A.M. Baldini et al., Search for the lepton flavour violating decay μ + → e + γ with the full dataset of the MEG experiment, Eur. Phys. J. C 76 (2016) 434 [arXiv:1605.05081] [INSPIRE].
BaBar collaboration, B. Aubert et al., Searches for lepton flavor violation in the decays τ ± → e ± γ and τ ± → μ ± γ, Phys. Rev. Lett. 104 (2010) 021802 [arXiv:0908.2381] [INSPIRE].
S. Knapen and D.J. Robinson, Disentangling mass and mixing hierarchies, Phys. Rev. Lett. 115 (2015) 161803 [arXiv:1507.00009] [INSPIRE].
P. Gondolo and G. Gelmini, Cosmic abundances of stable particles: improved analysis, Nucl. Phys. B 360 (1991) 145 [INSPIRE].
F. Giacchino, L. Lopez-Honorez and M.H.G. Tytgat, Scalar dark matter models with significant internal bremsstrahlung, JCAP 10 (2013) 025 [arXiv:1307.6480] [INSPIRE].
T. Toma, Internal bremsstrahlung signature of real scalar dark matter and consistency with thermal relic density, Phys. Rev. Lett. 111 (2013) 091301 [arXiv:1307.6181] [INSPIRE].
K. Griest and D. Seckel, Three exceptions in the calculation of relic abundances, Phys. Rev. D 43 (1991) 3191 [INSPIRE].
M. Cirelli, N. Fornengo and A. Strumia, Minimal dark matter, Nucl. Phys. B 753 (2006) 178 [hep-ph/0512090] [INSPIRE].
L.J. Hall, T. Moroi and H. Murayama, Sneutrino cold dark matter with lepton number violation, Phys. Lett. B 424 (1998) 305 [hep-ph/9712515] [INSPIRE].
D. Tucker-Smith and N. Weiner, The status of inelastic dark matter, Phys. Rev. D 72 (2005) 063509 [hep-ph/0402065] [INSPIRE].
Particle Data Group collaboration, C. Patrignani et al., Review of particle physics, Chin. Phys. C 40 (2016) 100001 [INSPIRE].
ALEPH collaboration, A. Heister et al., Search for charginos nearly mass degenerate with the lightest neutralino in e + e − collisions at center-of-mass energies up to 209 GeV, Phys. Lett. B 533 (2002) 223 [hep-ex/0203020] [INSPIRE].
DELPHI collaboration, J. Abdallah et al., Searches for supersymmetric particles in e + e − collisions up to 208 GeV and interpretation of the results within the MSSM, Eur. Phys. J. C 31 (2003) 421 [hep-ex/0311019] [INSPIRE].
ATLAS collaboration, Search for direct production of charginos, neutralinos and sleptons in final states with two leptons and missing transverse momentum in pp collisions at \( \sqrt{s}=8 \) TeV with the ATLAS detector, JHEP 05 (2014) 071 [arXiv:1403.5294] [INSPIRE].
ATLAS collaboration, Search for direct-slepton and direct-chargino production in final states with two opposite-sign leptons, missing transverse momentum and no jets in 20 fb −1 of pp collisions at \( \sqrt{s}=8 \) TeV with the ATLAS detector, ATLAS-CONF-2013-049, CERN, Geneva, Switzerland, (2013).
ATLAS collaboration, Search for supersymmetry with two and three leptons and missing transverse momentum in the final state at \( \sqrt{s}=13 \) TeV with the ATLAS detector, ATLAS-CONF-2016-096, CERN, Geneva, Switzerland, (2016).
ATLAS collaboration, Search for electroweak production of supersymmetric particles in final states with two or three leptons at \( \sqrt{s}=13 \) TeV with the ATLAS detector, arXiv:1803.02762 [INSPIRE].
CMS collaboration, Search for new physics in events with two soft oppositely charged leptons and missing transverse momentum in proton-proton collisions at \( \sqrt{s}=13 \) TeV, Phys. Lett. B 782 (2018) 440 [arXiv:1801.01846] [INSPIRE].
Planck collaboration, P.A.R. Ade et al., Planck 2015 results. XIII. Cosmological parameters, Astron. Astrophys. 594 (2016) A13 [arXiv:1502.01589] [INSPIRE].
DES collaboration, T.M.C. Abbott et al., Dark energy survey year 1 results: cosmological constraints from galaxy clustering and weak lensing, arXiv:1708.01530 [INSPIRE].
G. Bélanger, F. Boudjema, A. Pukhov and A. Semenov, MicrOMEGAs4.1: two dark matter candidates, Comput. Phys. Commun. 192 (2015) 322 [arXiv:1407.6129] [INSPIRE].
G. Bélanger, F. Boudjema, A. Pukhov and A. Semenov, MicrOMEGAs3: a program for calculating dark matter observables, Comput. Phys. Commun. 185 (2014) 960 [arXiv:1305.0237] [INSPIRE].
C.P. Burgess, M. Pospelov and T. ter Veldhuis, The minimal model of nonbaryonic dark matter: a singlet scalar, Nucl. Phys. B 619 (2001) 709 [hep-ph/0011335] [INSPIRE].
J. Alwall et al., The automated computation of tree-level and next-to-leading order differential cross sections and their matching to parton shower simulations, JHEP 07 (2014) 079 [arXiv:1405.0301] [INSPIRE].
T. Sjöstrand et al., An introduction to PYTHIA 8.2, Comput. Phys. Commun. 191 (2015) 159 [arXiv:1410.3012] [INSPIRE].
D. Dercks, N. Desai, J.S. Kim, K. Rolbiecki, J. Tattersall and T. Weber, CheckMATE 2: from the model to the limit, Comput. Phys. Commun. 221 (2017) 383 [arXiv:1611.09856] [INSPIRE].
DELPHES 3 collaboration, J. de Favereau et al., DELPHES 3, a modular framework for fast simulation of a generic collider experiment, JHEP 02 (2014) 057 [arXiv:1307.6346] [INSPIRE].
J.S. Kim, D. Schmeier, J. Tattersall and K. Rolbiecki, A framework to create customised LHC analyses within CheckMATE, Comput. Phys. Commun. 196 (2015) 535 [arXiv:1503.01123] [INSPIRE].
E. Ma, Verifiable radiative seesaw mechanism of neutrino mass and dark matter, Phys. Rev. D 73 (2006) 077301 [hep-ph/0601225] [INSPIRE].
R. Barbieri, L.J. Hall and V.S. Rychkov, Improved naturalness with a heavy Higgs: an alternative road to LHC physics, Phys. Rev. D 74 (2006) 015007 [hep-ph/0603188] [INSPIRE].
L. Lopez Honorez, E. Nezri, J.F. Oliver and M.H.G. Tytgat, The inert doublet model: an archetype for dark matter, JCAP 02 (2007) 028 [hep-ph/0612275] [INSPIRE].
L. Lopez Honorez, M.H.G. Tytgat, P. Tziveloglou and B. Zaldivar, On minimal dark matter coupled to the Higgs, JHEP 04 (2018) 011 [arXiv:1711.08619] [INSPIRE].
XENON collaboration, E. Aprile et al., First dark matter search results from the XENON1T experiment, Phys. Rev. Lett. 119 (2017) 181301 [arXiv:1705.06655] [INSPIRE].
L. Calibbi, A. Mariotti and P. Tziveloglou, Singlet-doublet model: dark matter searches and LHC constraints, JHEP 10 (2015) 116 [arXiv:1505.03867] [INSPIRE].
R. Mahbubani and L. Senatore, The minimal model for dark matter and unification, Phys. Rev. D 73 (2006) 043510 [hep-ph/0510064] [INSPIRE].
T. Cohen, J. Kearney, A. Pierce and D. Tucker-Smith, Singlet-doublet dark matter, Phys. Rev. D 85 (2012) 075003 [arXiv:1109.2604] [INSPIRE].
F. D’Eramo, Dark matter and Higgs boson physics, Phys. Rev. D 76 (2007) 083522 [arXiv:0705.4493] [INSPIRE].
CMS collaboration, Combined search for electroweak production of charginos and neutralinos in proton-proton collisions at \( \sqrt{s}=13 \) TeV, JHEP 03 (2018) 160 [arXiv:1801.03957] [INSPIRE].
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Calibbi, L., Ziegler, R. & Zupan, J. Minimal models for dark matter and the muon g − 2 anomaly. J. High Energ. Phys. 2018, 46 (2018). https://doi.org/10.1007/JHEP07(2018)046
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DOI: https://doi.org/10.1007/JHEP07(2018)046