Eur. Phys. J. C (2008) 56: 125-146
https://doi.org/10.1140/epjc/s10052-008-0625-3

Regular Article - Theoretical Physics

Lepton flavor violating leptonic and semileptonic decays of charged leptons in the minimal supersymmetric standard model

¹ Department of Physics, Ritsumeikan University, Kusatsu, Shiga, 525-8577, Japan
² Department of Physics, University of Zagreb, P.O. Box 331, Bijenička cesta 32, 10002, Zagreb, Croatia
³ Theory Division, KEK, Oho 1-1, Tsukuba, Ibaraki, 305-0801, Japan
⁴ Department of Physics, Oklahoma State University, Stillwater, OK, 74078, USA

^* e-mail: tatsuru@post.kek.jp

Received: 21 February 2008
Published online: 25 June 2008

Abstract

We consider the leptonic and semileptonic (SL) lepton-flavor violating (LFV) decays of the charged leptons in the minimal supersymmetric standard model (MSSM) with right-handed neutrinos. The parameters of the MSSM model are determined in the framework of the minimal supersymmetric SO(10) GUT model assuming the minimal supergravity model of supersymmetry breaking. The free parameters of the model are constrained adopting the WMAP cold dark matter constraint and adjusting the neutrino oscillation data. So constrained, the SO(10) GUT model gives a definite prediction for the Dirac-neutrino Yukawa matrix, which induces all LFV effects in the MSSM model through renormalization group equations of soft SUSY breaking parameters. A very detailed numerical analysis has been made to define numerically all MSSM parameters necessary for the evaluation of the LFV amplitudes. The basic LFV amplitudes in MSSM were rederived and improved. The formalism for the evaluation of all SL LFV amplitudes is given. Numerical results for dominant SL LFV branching ratios, the anomalous magnetic moment of the muon and the ℓ→ℓ’γ branching ratios are given.