Search for $$ \mathrm{U}{(1)}_{L_{\mu }-{L}_{\tau }} $$ charged dark matter with neutrino telescope

Abstract We study a simple Dirac fermion dark matter model in $$ \mathrm{U}{(1)}_{L_{\mu }-{L}_{\tau }} $$ U1Lμ−Lτ theory. The new light gauge bosonXplays important roles in both dark matter physics and the explanation for the muong−2 anomaly. The observed dark matter relic density is realized by a large $$ \mathrm{U}{(1)}_{L_{\mu }-{L}_{\tau }} $$ U1Lμ−Lτ charge without introducing a resonance effect of theXboson. As a by-product of the model, characteristic neutrino signatures from sub-GeV dark matterψare predicted depending on the mass spectrum. We formulate the analysis of $$ \psi \overline{\psi}\to \nu \overline{\nu} $$ ψψ¯→νν¯ , and of $$ \psi \overline{\psi}\to XX $$ ψψ¯→XX followed by $$ X\to \nu \overline{\nu} $$ X→νν¯ in a model independent way. The energy spectrum of neutrinos in the former process is monochromatic while in the latter process is bowl-shape. We also evaluate sensitivity at Super-Kamiokande and future Hyper-Kamiokande detectors. The analysis is finally applied to the $$ \mathrm{U}{(1)}_{L_{\mu }-{L}_{\tau }} $$ U1Lμ−Lτ dark matter model.

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