Scalar dark matter and Muon $g-2$ in a $U(1{)}_{L_{\mu }-L_{\tau }}$ model

Abstract

We consider a simple scalar dark matter model within the frame of gauged $L_{\mu }-L_{\tau }$ symmetry. A gauge boson $Z^{\prime }$ as well as two scalar fields $S$ and $\Phi$ are introduced to the Standard Model (SM). $S$ and $\Phi$ are SM singlet but both with $U(1{)}_{L_{\mu }-L_{\tau }}$ charge. The real component and imaginary component of $S$ can acquire different masses after spontaneously symmetry breaking, and the lighter one can play the role of dark matter which is stabilized by the residual $Z_2$ symmetry. A viable parameter space is considered to discuss the possibility of light dark matter as well as co-annihilation case, and we present current $(g-2{)}_{\mu }$ anomaly, Higgs invisible decay, dark matter relic density as well as direct detection constriants on the parameter space.

9 figures, 9 pages

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Cited by in corpus (4)

• Probing the $L_{\mu }$-$L_{\tau }$ Gauge Boson at the MUonE Experiment
• Singlet Scalars as Dark Matter and the Muon g-2 Anomaly
• Copositive criteria for a two-component dark matter model
• Thermal Leptophilic Light Vector Dark Matter with Spinor Mediator and Muon (g-2) Anomaly