Dyson-Schwinger equations and the muon g-2

TL;DR

This paper introduces the Dyson-Schwinger equations approach to hadron physics, focusing on electromagnetic form factors and their contributions to the muon g-2, and discusses future research directions.

Contribution

It applies the DSE formalism to calculate meson form factors and estimate their impact on the muon g-2, proposing future theoretical studies.

Findings

Calculated electromagnetic form factors for pseudoscalar mesons.

Estimated contributions of form factors to muon g-2.

Highlighted potential future calculations using DSEs.

Abstract

We present a brief introduction to the Dyson-Schwinger equations (DSEs) approach to hadron and high-energy physics. In particular, how this formalism is applied to calculate the electromagnetic form factors $\gamma^* \gamma^* \to \textbf{P}^0$ and $\gamma^* \textbf{P}^\pm \to \textbf{P}^\pm$ (with $\textbf{P}^\pm$ and $\textbf{P}^0$ charged and neutral ground-state pseudoscalar mesons, respectively) is discussed. Subsequently, the corresponding contributions of those form factors to the muon anomalous magnetic moment ($g-2$) are estimated. We look forward to promoting the DSE approach to address theoretical aspects of the muon $g-2$, highlighting some calculations that could be carried out in the future.