Constraining $U(1{)}_{L_{\mu }-L_{\tau }}$ charged dark matter model for muon $g-2$ anomaly with AMS-02 electron and positron data

Abstract

Very recently, the Fermi-Lab reported the new experimental combined results on the magnetic momentum of muon with a 4.2$\sigma$ discrepancy compared with the expectation of the Standard Model \cite{Fermi_Lab}. A new light gauge boson $X$ in the $L_{\mu }-L_{\tau }$ model provides a good explanation for the $g-2$ anomaly. A Dirac fermion dark matter with a large $L_{\mu }-L_{\tau }$ charge can explain both the $g-2$ anomaly and the dark matter relic density \cite{Asai_2021}. In this work, we focus on the case that the mass of the dark matter is larger than the mass of muon (i.e. $m_{\Psi }>m_{\mu }$) for which the channel $\Psi \Psi \to {\mu }^{-}{\mu }^{+}$ opens. Although the cross section $(\sigma v{)}_{{\mu }^{-}{\mu }^{+}}$ is smaller by a factor of $1/q_{\Psi }^2$ ($q_{\Psi }$ represents the $L_{\mu }-L_{\tau }$ charge of the dark matter) compared with the channel $\Psi \Psi \to XX\to \nu \nu \bar{\nu }\bar{\nu }$, the resulting secondary electrons and positrons could imprint on their spectra above GeV energies due to the reacceleration effect of cosmic ray propagation. We use the AMS-02 measurements of electrons and positrons to constrain the annihilation cross section of the channel $\Psi \Psi \to {\mu }^{-}{\mu }^{+}$, which rules out part of the parameter space of the large $L_{\mu }-L_{\tau }$ charged dark matter model to account for the muon $g-2$ anomaly.

5 pages,3 figures

References in corpus (9)

• Measurement of the Positive Muon Anomalous Magnetic Moment to 0.46 ppm
• micrOMEGAs4.1: two dark matter candidates
• Gamma-ray and radio tests of the e+e- excess from DM annihilations
• Quantitative study of the AMS-02 electron/positron spectra: implications for the pulsar and dark matter properties
• Neutrino Mass, Dark Matter and Anomalous Magnetic Moment of Muon in a $U(1{)}_{L_{\mu }-L_{\tau }}$ Model
• Precise WIMP Dark Matter Abundance and Standard Model Thermodynamics
• A common origin of muon g-2 anomaly, Galaxy Center GeV excess and AMS-02 anti-proton excess in the NMSSM
• Search for U(1)${}_{L_{\mu }-L_{\tau }}$ charged Dark Matter with neutrino telescope
• Muon $g-2$ in a two-Higgs-doublet model with a type-II seesaw mechanism

Cited by in corpus (6)

• Scotogenic $U(1{)}_{L_{\mu }-L_{\tau }}$ origin of $(g-2{)}_{\mu }$, W-mass anomaly and 95 GeV excess
• High-energy cosmic neutrinos as a probe of the vector mediator scenario in light of the muon $g-2$ anomaly and Hubble tension
• Probing the $L_{\mu }$-$L_{\tau }$ Gauge Boson at the MUonE Experiment
• Constraining primordial black holes as dark matter using AMS-02 data
• Muon $(g-2)$ and Flavor Puzzles in the $U(1{)}_X^{}$-gauged Leptoquark Model
• Exploring sub-GeV Dark Matter Physics with Cosmic Ray and Future Telescopes