Dyson-Schwinger equations and the muon g-2


  • Khépani Raya Universidad de Granada
  • Adnan Bashir
  • Ángel S. Miramontes
  • Pablo Roig




Electromagnetic form factors, Bound and unstable states, Hadronic light-by-light contributions, Dyson-Schwinger equations


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.


i. MCEs are also expected to play a major role in the description of nucleon and hyperon transition form factors, around Q2≈0 [58-61].

ii. Equation (25) must be adapted to account for the flavour decomposition of the η − η 0 systems [52].

iii. The quark propagator is written as S(p) = −iγ · p σv(p2) + σs(p2), with σs,v(p2) being algebraically related to M(p2) and Z(p2) in Eq. (8).

iv. The MCEs take place in the neighborhood of Q2≈0 [58-61], such that, for increasing Q2, BRL → RL.

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How to Cite

Raya K, Bashir A, Miramontes Ángel S, Roig P. Dyson-Schwinger equations and the muon g-2. Supl. Rev. Mex. Fis. [Internet]. 2022 Mar. 31 [cited 2022 Jul. 2];3(2):020709 1-9. Available from: https://rmf.smf.mx/ojs/index.php/rmf-s/article/view/6229