Automatic Calculation of 2-loop Weak Corrections to Muon Anomalous Magnetic Moment

TL;DR

This paper presents an automated system for calculating two-loop weak corrections to the muon anomalous magnetic moment, utilizing diagram classification, a specific Feynman amplitude representation, and n-dimensional regularization.

Contribution

It introduces a novel automated approach for two-loop weak correction calculations in muon g-2, employing diagram classification and a consistent renormalization scheme.

Findings

Successfully classified diagrams into eight topological types.

Implemented a consistent renormalization using n-dimensional regularization.

Enabled automated calculation of two-loop weak corrections.

Abstract

An automatic system to calculate two loop weak corrections to muon anomalous magnetic moment is discussed. Diagrams are classified into eight types, according to their topology. Adopting Civitanovi\'c-Kinoshita representation of Feynman amplitude and using the topological property, the renormalization is performed consistently by n-dimensional regularization method.