Dyson-Schwinger equations and the muon g-2
Author(s) -
Khépani Raya,
Adnan Bashir,
Ángel S. Miramontes,
Pablo Roig
Publication year - 2022
Publication title -
suplemento de la revista mexicana de física
Language(s) - English
Resource type - Journals
ISSN - 2683-2585
DOI - 10.31349/suplrevmexfis.3.020709
Subject(s) - muon , anomalous magnetic dipole moment , physics , pseudoscalar , particle physics , hadron , formalism (music) , meson , magnetic moment , nuclear physics , mathematical physics , quantum mechanics , visual arts , art , musical
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.
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