Reconciling dark matter, $R_{K^{(*)}}$ anomalies and $(g-2)_{\mu}$ in an ${L_{\mu}-L_{\tau}}$ scenario

Understand

We propose an anomaly free unified scenario by invocation of an extra local ${\rm U(1)}_{L_{\mu}-L_{\tau}}$ gauge symmetry.

• This scenario simultaneously resolves the $R_{K^{(*)}}$ anomalies, the dark matter puzzle and the long-standing discrepancy in muon's anomalous magnetic moment.
• A complex scalar ($\eta$) having nonzero ${L_{\mu}-L_{\tau}}$ charge has been introduced to break this new U(1) symmetry spontaneously.
• Moreover, for the purpose of studying dark matter phenomenology and $R_{K^{(*)}}$ anomalies in a correlated manner, we introduce an inert ${\rm SU(2)}_L$ scalar doublet ($\Phi$), a $\mathbb{Z}_2$-odd real singlet scalar ($S$) and a $\mathbb{Z}_2$-odd coloured fermion ($\chi$) which transforms vectorially under the ${\rm U(1)}_{L_{\mu}-L_{\tau}}$ symmetry.