Understanding the correlation between $(g-2{)}_{\mu }$ and $\mu \to e\gamma$ in the MSSM

Abstract

The supersymmetric contributions to the muon anomalous magnetic moment $a_{\mu }$ and to the decay $\mu \to e\gamma$ are given by very similar Feynman diagrams. Previous works reported correlations in specific scenarios, in particular if $a_{\mu }$ is dominated by a single diagram. In this work we give an extensive survey of the possible correlations. We discuss examples of single-diagram domination with particularly strong correlations, and provide corresponding benchmark parameter points. We show how the correlations are weakened by significant cancellations between diagrams in large parts of the MSSM parameter space. Nevertheless, the order of magnitude of $\text{BR}(\mu \to e\gamma )$ for a fixed flavor-violating parameter can often be predicted. We summarize the behavior by plotting the correlations as well as resulting bounds on the flavor-violating parameters under various assumptions on the MSSM spectrum.

30 pages, 16 figures. v2 matches published version: modified two figures for clarification, corrected typos and clarified parts of the text, added references

References in corpus (4)

• The Muon Magnetic Moment and Supersymmetry
• Status of the Fermilab Muon (g-2) Experiment
• MEG Upgrade Proposal
• Flavour physics at large tan(beta) with a Bino-like LSP

Cited by in corpus (4)

• Upper bounds on sparticle masses from muon g-2 and the Higgs mass and the complementarity of future colliders
• Flavor Physics and CP Violation
• A to Z of the Muon Anomalous Magnetic Moment in the MSSM with Pati-Salam at the GUT scale
• Correlation Between Muon $g-2$ and $\mu \to e\gamma$