Widening the $U(1{)}_{L_{\mu }-L_{\tau }}$ $Z^{\prime }$ mass range for resolving the muon $g-2$ anomaly

Abstract

Exchanging a $Z^{\prime }$ gauge boson is a favored mechanism to solve the muon $(g-2{)}_{\mu }$ anomaly. Among such models the $Z^{\prime }$ from $U(1{)}_{L_{\mu }-L_{\tau }}$ gauge group has been extensively studied. In this model the same interaction addressing $(g-2{)}_{\mu }$, leads to an enhanced muon neutrino trident (MNT) process ${\nu }_{\mu }N\to {\nu }_{\mu }\mu \bar{\mu }N$ constraining the $Z^{\prime }$ mass to be less than a few hundred MeV. Many other $Z^{\prime }$ models face the same problem. It has long been realized that the coupling of $Z^{\prime }$ in the model can admit $(\bar{\mu }{\gamma }^{\mu }\tau +{\bar{\nu }}_{\mu }{\gamma }^{\mu }L{\nu }_{\tau })Z_{\mu }^{\prime }$ interaction which does not contribute to the MNT process. It can solve $(g-2{)}_{\mu }$ anomaly for a much wider $Z^{\prime }$ mass range. However this new interaction induces $\tau \to \mu {\bar{\nu }}_{\mu }{\nu }_{\tau }$ which rules out it as a solution to $(g-2{)}_{\mu }$ anomaly. Here we propose a mechanism by introducing type-II seesaw $SU(2{)}_L$ triplet scalars to evade constraints from all known data to allow a wide $Z^{\prime }$ mass range to solve the $(g-2{)}_{\mu }$ anomaly. This mechanism opens a new window for $Z^{\prime }$ physics.

to be appear on PLB

References in corpus (5)

• Neutrino Trident Production: A Powerful Probe of New Physics with Neutrino Beams
• Lepton flavor violating Z' explanation of the muon anomalous magnetic moment
• Confirming $U(1{)}_{L_{\mu }-L_{\tau }}$ as a solution for $(g-2{)}_{\mu }$ with neutrinos
• Muon and electron g-2 and proton and cesium weak charges implications on dark ${\mathbf{Z}}_{\mathbf{d}}$ models
• Muon $g-2$ in $U(1{)}_{\mu -\tau }$ Symmetric Gauged Radiative Neutrino Mass Model

Cited by in corpus (9)

• Type-II Seesaw Triplet Scalar Effects on Neutrino Trident Scattering
• Searching for Heavy Leptophilic $Z^{\prime }$: from Lepton Colliders to Gravitational Waves
• On $(g-2{)}_{\mu }$ From Gauged $\mathrm{U}(1{)}_X$
• Search for Lepton Flavor Violating Decay at FASER
• Collider Signatures of a Scalar Leptoquark and Vector-like Lepton in Light of Muon Anomaly
• Muon ($g-2$) in $U(1{)}_{L_{\mu }-L_{\tau }}$ Scotogenic Model Extended with Vector like Fermion
• Revisiting for maximal flavor violating $Z_{e\mu }^{{}^{\prime }}$ and its phenomenology constraints
• The Forward Physics Facility at the High-Luminosity LHC
• The $U(1{)}_{L_{\mu }-L_{\tau }}$ model meets the new $(g-2{)}_{\mu }$ data and muon neutrino trident scattering