The $U(1)_{L_μ-L_τ}$ model meets the new $(g-2)_μ$ data and muon neutrino trident scattering

Fuente: arXiv
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Autores principales: Li, Ming-Wei, He, Xiao-Gang, Cheek, Andrew, Chu, Xinhui
Formato: Preprint
Publicado: 2025
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author Li, Ming-Wei
He, Xiao-Gang
Cheek, Andrew
Chu, Xinhui
author_facet Li, Ming-Wei
He, Xiao-Gang
Cheek, Andrew
Chu, Xinhui
contents The Muon $g-2$ collaboration at Fermilab has announced their final result of the anomalous magnetic moment of the muon. By adopting the lattice-QCD evaluation of the leading-order hadronic-vacuum-polarization, this result is now in agreement with the latest theoretical prediction to the $1σ$ level. This new result further constrains the allowed parameter space, but does not rule out all possible new physics contributions the muon $g-2$. We study the implications for one of the relevant models, the gauged $U(1)_{L_μ- L_τ}$. When using this model to resolve the previous $4σ$ tension, results from muon neutrino trident (MNT) scattering experiments would restrict the mass of the new gauge boson ($Z'$) to be less than $300$ MeV. Since the theory and experimental data difference for muon $g-2$ is lowered down to $1σ$, the requirement for $m_{Z'}\lesssim 300\,{\rm MeV}$ is much relaxed. Within the updated allowed range of $Z'$ boson mass, we study the models implications for electron and tauon $g-2$ as well as future muon colliders. We find that muon collider can effectively probe the $U(1)_{L_μ- L_τ}$.
format Preprint
id arxiv_https___arxiv_org_abs_2506_05511
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle The $U(1)_{L_μ-L_τ}$ model meets the new $(g-2)_μ$ data and muon neutrino trident scattering
Li, Ming-Wei
He, Xiao-Gang
Cheek, Andrew
Chu, Xinhui
High Energy Physics - Phenomenology
The Muon $g-2$ collaboration at Fermilab has announced their final result of the anomalous magnetic moment of the muon. By adopting the lattice-QCD evaluation of the leading-order hadronic-vacuum-polarization, this result is now in agreement with the latest theoretical prediction to the $1σ$ level. This new result further constrains the allowed parameter space, but does not rule out all possible new physics contributions the muon $g-2$. We study the implications for one of the relevant models, the gauged $U(1)_{L_μ- L_τ}$. When using this model to resolve the previous $4σ$ tension, results from muon neutrino trident (MNT) scattering experiments would restrict the mass of the new gauge boson ($Z'$) to be less than $300$ MeV. Since the theory and experimental data difference for muon $g-2$ is lowered down to $1σ$, the requirement for $m_{Z'}\lesssim 300\,{\rm MeV}$ is much relaxed. Within the updated allowed range of $Z'$ boson mass, we study the models implications for electron and tauon $g-2$ as well as future muon colliders. We find that muon collider can effectively probe the $U(1)_{L_μ- L_τ}$.
title The $U(1)_{L_μ-L_τ}$ model meets the new $(g-2)_μ$ data and muon neutrino trident scattering
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2506.05511