# Muon anomalous magnetic moment from effective supersymmetry

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## Abstract.

We present a detailed analysis on the possible maximal value of the muon \((g-2)_\mu \equiv 2 a_\mu\) within the context of effective SUSY models with *R* parity conservation. First of all, mixing among the second and the third family sleptons can contribute at one loop level to \(a_\mu^{\mathrm{SUSY}}\) and \(\tau \rightarrow \mu \gamma\) simultaneously. One finds that \(a_\mu^{\mathrm{SUSY}}\) can be as large as \((10 \)–\( 20)\times 10^{-10}\) for any \(\tan\beta\), imposing an upper limit on the \(\tau\rightarrow \mu \gamma\) branching ratio. Furthermore, the two loop Barr–Zee type contributions to \(a_\mu^{\mathrm{SUSY}}\) may be significant for large \(\tan\beta\), if a stop is light and \(\mu\) and \(A_t\) are large enough (\(\sim O(1)\) TeV). In this case, it is possible to have \(a_\mu^{\mathrm{SUSY}}\) up to \(O(10) \times 10^{-10}\) without conflicting with \(\tau \rightarrow l \gamma\). We conclude that the possible maximal value for \(a_\mu^{\mathrm{SUSY}}\) is about \(\sim 20 \times 10^{-10}\) for any \(\tan\beta\). Therefore the BNL experiment on the muon \(a_\mu\) can exclude the effective SUSY models only if the measured deviation is larger than \(\sim 30 \times 10^{-10}\).

## Keywords

Detailed Analysis Parity Conservation Measured Deviation Anomalous Magnetic Moment Loop Level## Preview

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