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Muon anomalous magnetic moment from effective supersymmetry

  • S. Baek
  • P. Ko
  • Jae-hyeon Park
Theoretical physics

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 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg / Società Italiana di Fisica 2002

Authors and Affiliations

  • S. Baek
    • 1
  • P. Ko
    • 2
  • Jae-hyeon Park
    • 2
  1. 1.School of Physics, KIAS, Seoul 130-012, Korea KR
  2. 2.Department of Physics, KAIST, Daejeon 305-701, Korea KR

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