Photonic SUSY Two-Loop Corrections to the Muon Magnetic Moment

TL;DR

This paper calculates precise two-loop photonic corrections to the muon magnetic moment within supersymmetry, refining previous estimates and providing analytical formulas for improved accuracy in theoretical predictions.

Contribution

It extends leading-log calculations by providing exact analytical expressions for photonic SUSY two-loop corrections, including their numerical behavior and integration into full SUSY models.

Findings

Photonic corrections reduce the SUSY one-loop result by 7-9%.

Corrections are typically ten times smaller than leading logs but can be larger with mass splittings.

The paper offers detailed renormalization and regularization procedures.

Abstract

Photonic SUSY two-loop corrections to the muon magnetic moment are contributions from diagrams where an additional photon loop is attached to a SUSY one-loop diagram. These photonic corrections are evaluated exactly, extending a leading-log calculation by Degrassi and Giudice. Compact analytical expressions are provided and the numerical behaviour is discussed. The photonic corrections reduce the SUSY one-loop result by 7...9%. The new terms are typically around ten times smaller than the leading logarithms, but they can be larger and have either sign in cases with large SUSY mass splittings. We also provide details on renormalization and regularization and on how to incorporate the photonic corrections into a full SUSY two-loop calculation.