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New gauge boson $Z^{'}$ and the rare decay $H \to μ^{+} μ^{-} γ$ in the minimal $U {(1)}_{L_{μ} - L_{τ}}$ model

Na-Qian Zhang

Department of Physics, Liaoning Normal University, Dalian 116029, P. R. China

Center for Theoretical and Experimental High Energy Physics, Liaoning Normal University, Dalian 116029, P. R. China

E-mail Address: nqzhang0610@163.com

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Chong-Xing Yue

Department of Physics, Liaoning Normal University, Dalian 116029, P. R. China

Center for Theoretical and Experimental High Energy Physics, Liaoning Normal University, Dalian 116029, P. R. China

E-mail Address: cxyue@lnnu.edu.cn

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Xue-Jia Cheng

Department of Physics, Liaoning Normal University, Dalian 116029, P. R. China

Center for Theoretical and Experimental High Energy Physics, Liaoning Normal University, Dalian 116029, P. R. China

E-mail Address: cxj225588@163.com

Corresponding author.

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, and

Yan-Yu Li

Department of Physics, Liaoning Normal University, Dalian 116029, P. R. China

Center for Theoretical and Experimental High Energy Physics, Liaoning Normal University, Dalian 116029, P. R. China

E-mail Address: lyy3390@163.com

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https://doi.org/10.1142/S0217751X22501603Cited by:0 (Source: Crossref)

Abstract

The rare decay $H \to μ^{+} μ^{-} γ$ is an interesting and characteristic process, which is starting to become experimentally accessible at the Large Hadron Collider (LHC) and the upcoming high-luminosity LHC. In this note, we consider the resonant contributions of the new gauge boson $Z^{'}$ to the rare decay $H \to μ^{+} μ^{-} γ$ in the framework of the minimal $U {(1)}_{L_{μ} - L_{τ}}$ model. Its differential decay rate and decay width are calculated. Our numerical results show that the new gauge boson $Z^{'}$ can generate smaller contributions to this decay process.

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