$U(1{)}_{L_{\mu }-L_{\tau }}$ for Light Dark Matter, $g_{\mu }-2$, the $511$ keV excess and the Hubble Tension

Abstract

In this paper we introduce a light Dirac particle $\psi$ as thermal dark matter candidate in a $U(1{)}_{L_{\mu }-L_{\tau }}$ model. Together with the new gauge boson $X$, we find a possible parameter space with $m_X\simeq 20$ MeV, $U(1{)}_{L_{\mu }-L_{\tau }}$ coupling $g_X\simeq 5\cdot 10^{-4}$ and $m_{\psi }\gtrsim m_X/2$ where the $(g-2{)}_{\mu }$ anomaly, dark matter, the Hubble tension, and (part of) the excess of $511$ keV photons from the region near the galactic center can be explained simultaneously. This model is safe from current experimental and astrophysical constraints, but can be probed by the next generation of neutrino experiments as well as low-energy $e^{+}{e}^{-}$ colliders.

19 pages, 4 figures; comments welcome; v2: typos corrected, discussion modified in sec.4 ,references updated

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• Supernova Limits on Muonic Dark Forces
• Width effects of broad new resonances in loop observables and application to $(g-2{)}_{\mu }$
• Probing the $L_{\mu }$-$L_{\tau }$ Gauge Boson at the MUonE Experiment
• The Muon Magnetic Moment and Physics Beyond the Standard Model
• $(g-2{)}_{e,\mu }$ and strongly interacting dark matter with collider implications
• Leptophilic Gauge Bosons at Lepton Beam Dump Experiments
• SN1987A constraints to BSM models with extra neutral bosons near the trapping regime: $U(1{)}_{L_{\mu }-L_{\tau }}$ model as an illustrative example
• Darker matter generating from the dark
• Explaining lepton-flavor non-universality and self-interacting dark matter with $L_{\mu }-L_{\tau }$