The <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si12.svg"> <mml:mrow> <mml:mi>U</mml:mi> <mml:msub> <mml:mrow> <mml:mo>(</mml:mo> <mml:mn>1</mml:mn> <mml:mo>)</mml:mo> </mml:mrow> <mml:mrow> <mml:msub> <mml:mi>L</mml:mi> <mml:mi>
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 1 σ 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 4 σ 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 1 σ , the requirement for m Z ′ ≲ 300 M e V 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 .
Authors
- Andrew Cheek (ORCID: https://orcid.org/0000-0002-8773-831X)
- Ming-Wei Li (ORCID: https://orcid.org/0000-0003-2522-9795)
- Xiao-Gang He (ORCID: https://orcid.org/0000-0001-7059-6311)
- X. Chu (ORCID: https://orcid.org/0009-0003-3025-1150)
Institutions
- Shanghai Jiao Tong University (CN)
- Kavli Institute for Particle Astrophysics and Cosmology (US)
Publication Details
- Journal
- Physics Letters B
- Published
- 2025-10-20
- DOI
- https://doi.org/10.1016/j.physletb.2025.139949
- Primary Topic
- Particle physics theoretical and experimental studies
- Type
- article
- Field-Weighted Citation Impact
- 0.00