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.
Highlights
Of only the flavor-violating SUSY breaking parameters and derive stringent bounds on these parameters, which cannot be evaded by raising the overall SUSY mass scale
We show how the correlations are weakened by significant cancellations between diagrams in large parts of the MSSM parameter space
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
Summary
The difference between the experimental determination [4] and the SM prediction for the anomalous magnetic moment of the muon is larger than 3σ. Further progress can be expected from improvements on the theory side, but in particular from Fermilab P989 [10, 11] and the new J-PARC approach to the g − 2/EDM measurements [12]. Both aim to improve the experimental uncertainty of aμ by at least a factor of 4. The current 90% C.L. upper limit on the branching ratio BR(μ → eγ), set by the MEG experiment [13], is BR(μ → eγ) < 5.7 × 10−13 ≡ BREXP(μ → eγ),.
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