Massive vectors and loop observables: the $g-2$ case

TL;DR

This paper explores the potential of massive vectors within extended gauge symmetries to explain recent experimental anomalies like muon g-2, analyzing theoretical constraints and implications for other phenomena.

Contribution

It provides a theoretical analysis of massive vectors embedded in gauge symmetries, assessing their viability in explaining anomalies such as muon g-2 and related constraints.

Findings

Extended gauge symmetries impose strong mass constraints on new vectors.

Single vector extensions generally cannot explain muon g-2 discrepancy.

Comments on applicability to B-meson decay and di-photon anomalies.

Abstract

We discuss the use of massive vectors for the interpretation of some recent experimental anomalies, with special attention to the muon $g-2$. We restrict our discussion to the case where the massive vector is embedded into a spontaneously broken gauge symmetry, so that the predictions are not affected by the choice of an arbitrary energy cut-off. Extended gauge symmetries, however, typically impose strong constraints on the mass of the new vector boson and for the muon $g-2$ they basically rule out, barring the case of abelian gauge extensions, the explanation of the discrepancy in terms of a single vector extension of the standard model. We finally comment on the use of massive vectors for $B$-meson decay and di-photon anomalies.