Muon $g-2$, $B\to K^{(*)}\mu^+ \mu^-$ anomalies, and leptophilic dark matter in $U(1)_{\mu-\tau}$ gauge symmetry

TL;DR

This paper introduces a $U(1)_{mu- au}$ gauge model that simultaneously explains flavor anomalies like muon g-2 and $b o s\,mu^+mu^-$, incorporates scalar dark matter, and predicts testable collider signatures.

Contribution

It presents a novel $U(1)_{mu- au}$ model with vectorlike fermions and inert scalars that accounts for flavor anomalies and dark matter within current experimental constraints.

Findings

Model explains muon g-2 and $b o s\,mu^+mu^-$ anomalies.

Allowed parameter space is narrow and testable at the LHC.

Predicted signatures include 4 muons and dimuon plus missing energy events.

Abstract

We propose a new class of $U(1)_{\mu-\tau}$ gauged model that can explain recent flavor anomalies such as muon $g-2$, $b\to s\mu^+ \mu^-$, as well as include a scalar dark matter candidate while satisfying all the phenomenological constraints. For this purpose, we add new vectorlike quarks and leptons as well as two inert singlet scalars, one leptophilic and the other leptophobic. In our model $b\to s\mu^+ \mu^-$ anomalies can be explained by loop induced interactions among the SM and exotic quarks and $Z'$ gauge boson. In our numerical analysis, we show allowed region of our model to be narrow, and it would be tested soon, for example by searching for 4 muons and dimuon + missing transverse momentum from $pp \to \mu^+ \mu^- Z'$ and $pp \to \nu_{\mu,\tau} \bar \nu_{\mu,\tau} Z'$ followed by $Z' \to \mu^+ \mu^- , \nu_{\mu,\tau} \bar \nu_{\mu,\tau} $ at the LHC.