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.

32 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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• Robust Limits from Upcoming Neutrino Telescopes and Implications on Minimal Dark Matter Models
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• Scalar Dark Matter with a $\mu \tau$ Flavored Mediator
• Neutrino portals to MeV WIMPs with s-channel mediators
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• Prospects of five-dimensional $L_{\mu }-L_{\tau }$ gauge interactions in the light of elastic neutrino-electron scatterings: The scope of the DUNE near detector
• Directional Neutrino Searches for Galactic Center Dark Matter at Large Underground LArTPCs
• Exploring the Null Results in the Direct Detection Experiments, $(g-2{)}_{\ell }$ and Neutrino Mass in an Extended $U(1{)}_{L_{\mu }-L_{\tau }}$ Model Constrained through the $Z\to {\ell }^{+}{\ell }^{-}$ Decays
• Electron Beam Dump Constraints on Light Bosons with Lepton Flavor Violating Couplings
• Explaining lepton-flavor non-universality and self-interacting dark matter with $L_{\mu }-L_{\tau }$
• Muon Beam Dump Experiments probe five-dimensional nature of $U(1{)}_{L_{\mu }-L_{\tau }}$