Muon Anomalous Magnetic Moment and Gauge Symmetry in the Standard Model

TL;DR

This paper investigates the role of finite counter terms in the Standard Model's calculation of the muon anomalous magnetic moment, highlighting that these contributions are insufficient to explain the experimental discrepancy.

Contribution

It provides a detailed computation of finite counter term contributions to the muon g-2 within the Standard Model, emphasizing their limited impact on the existing discrepancy.

Findings

Finite counter terms do not fully account for the muon g-2 discrepancy.

Theoretical calculations remain insufficient to match experimental results.

Gauge symmetry restoration via counter terms has limited effect on the anomaly.

Abstract

No gauge invariant regularization is available for the perturbative calculation of the standard model. One has to add finite counter terms to restore gauge symmetry for the renormalized amplitudes. The muon anomalous magnetic moment can be accurately measured but the experimental result does not entirely agree with the theoretical calculation from the standard model. This paper is to compute the contributions to the muon gyromagnetic ratio $g_{\mu}$ due to the finite counter terms. The result obtained is found to be far from sufficient to explain the discrepancy between theory and experiment.