Non-Abelian Vector Dark Matter and Lepton $g-2$

Abstract

The mystery of dark matter remains an unsettled problem of particle physics. On top of that, experiments show a persistent contention of the muon anomalous magnetic moment (AMM) relative to the Standard Model (SM) prediction. In this work, we consider the possibility of extending the SM with a non-Abelian gauge symmetry $SU(2{)}_X$, under which SM leptons transform non-trivially. SM leptons receive corrections to their AMMs of right order via one-loop processes mediated by beyond SM (BSM) fermions required to cancel anomalies, and BSM gauge bosons that play the role of dark matter. We show that simultaneous explanation of the the muon AMM along with reproducing correct relic abundance allows rather a narrow range of 0.5 - 2 TeV dark matter mass, consistent with current experimental constraints. However, a concurrent description that also includes electron AMM is challenging in this set-up.

8 pages + references, 6 figures, 4 references added; accepted in JCAP (to appear in JCAP)

References in corpus (10)

• Measurement of the Positive Muon Anomalous Magnetic Moment to 0.46 ppm
• Measurement of the fine-structure constant as a test of the Standard Model
• Improved limits for Higgs-portal dark matter from LHC searches
• VDM: A model for Vector Dark Matter
• Explaining $(g-2{)}_{\mu ,e}$, the KOTO anomaly and the MiniBooNE excess in an extended Higgs model with sterile neutrinos
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• Neutral SU(2) Gauge Extension of the Standard Model and a Vector-Boson Dark-Matter Candidate
• Explaining electron and muon $g-2$ anomalies in an Aligned 2-Higgs Doublet Model with Right-Handed Neutrinos
• Anomalies in ${}^8$Be nuclear transitions and $(g-2{)}_{e,\mu }$: towards a minimal combined explanation
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Cited by in corpus (2)

• Neutrino masses and magnetic moments of electron and muon in the Zee Model
• Vector Boson Dark Matter From Trinification