Search for U(1)${}_{L_{\mu }-L_{\tau }}$ charged Dark Matter with neutrino telescope

Abstract

We study a simple Dirac fermion dark matter model in U(1)${}_{L_{\mu }-L_{\tau }}$ theory. The new light gauge boson $X$ plays important roles in both dark matter physics and the explanation for the muon $g-2$ anomaly. The observed dark matter relic density is realized by a large U(1)${}_{L_{\mu }-L_{\tau }}$ charge without introducing a resonance effect of the $X$ boson. As a by-product of the model, characteristic neutrino signatures from sub-GeV dark matter $\psi$ are predicted depending on the mass spectrum. We formulate the analysis of $\psi \bar{\psi }\to \nu \bar{\nu }$, and of $\psi \bar{\psi }\to XX$ followed by $X\to \nu \bar{\nu }$, 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 U(1)${}_{L_{\mu }-L_{\tau }}$ dark matter model.

arXiv comment32 pages, 6 figures; v2: added references and comments, corrected the neutrino spectrum from secluded annihilation and corresponding plots, conclusion unchanged, version to be published in JHEP

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