Dyson-Schwinger equations and the muon g-2

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 ${\gamma }^{\ast }{\gamma }^{\ast }\to {\text{P}}^0$ and ${\gamma }^{\ast }{\text{P}}^{\pm }\to {\text{P}}^{\pm }$ (with ${\text{P}}^{\pm }$ and ${\text{P}}^0$ 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.

Comments: Contribution to the XXXV Annual Meeting of the DPyC-SMF (May 11-13, 2021) and XIX Mexican School on Particles and Fields (August 9-13, 2021). Published in Suplemento de la Revista Mexicana de Física. 9pages, 2 figures