Muon $(g-2)$ and XENON1T Excess with Boosted Dark Matter in $L_{\mu}-L_{\tau}$ Model

TL;DR

This paper explores how a gauged $L_{}-L_{}$ model can simultaneously explain the muon $(g-2)$ anomaly and the XENON1T electron recoil excess through boosted dark matter interactions, with a constrained yet predictive parameter space.

Contribution

It demonstrates a unified framework where the same gauge boson accounts for muon $(g-2)$ and dark matter signals, incorporating hybrid dark matter production mechanisms.

Findings

The model can explain both muon $(g-2)$ and XENON1T excesses.

Parameter space remains testable by future experiments.

Hybrid dark matter production is necessary for relic density.

Abstract

Motivated by the growing evidence for lepton flavour universality violation after the first results from Fermilab's muon $(g-2)$ measurement, we revisit one of the most widely studied anomaly free extensions of the standard model namely, gauged $L_{\mu}-L_{\tau}$ model, known to be providing a natural explanation for muon $(g-2)$. We also incorporate the presence of dark matter (DM) in this model in order to explain the recently reported electron recoil excess by the XENON1T collaboration. We show that the same neutral gauge boson responsible for generating the required muon $(g-2)$ can also mediate interactions between electron and dark fermions boosted by dark matter annihilation. The required DM annihilation rate into dark fermion require a hybrid setup of thermal and non-thermal mechanisms to generate DM relic density. The tightly constrained parameter space from all requirements remain sensitive to ongoing and near future experiments, keeping the scenario very predictive.