Eur. Phys. J. C (2016) 76: 561
https://doi.org/10.1140/epjc/s10052-016-4402-4

Regular Article - Theoretical Physics

Muon through a flavor structure on soft SUSY terms

¹ FCFM, Universidad Autónoma de Nuevo León, UANL Ciudad Universitaria, 66450, San Nicolás de los Garza, Nuevo León, Mexico
² DAFM, Universidad de las Américas Puebla, UDLAP, Ex-Hacienda Sta. Catarina Mártir, Cholula, Puebla, Mexico
³ Instituto de Física, Universidad Nacional Autónoma de México, Apdo. Postal 20-364, 01000, Mexico, D.F., Mexico

^* e-mail: melina.gomez@udlap.mx

Received: 15 December 2015
Accepted: 26 September 2016
Published online: 20 October 2016

Abstract

In this work we analyze the possibility to explain the muon anomalous magnetic moment discrepancy within theory and experiment through lepton-flavor violation processes. We propose a flavor extended MSSM by considering a hierarchical family structure for the trilinear scalar soft-supersymmetric terms of the Lagrangian, present at the SUSY breaking scale. We obtain analytical results for the rotation mass matrix, with the consequence of having non-universal slepton masses and the possibility of leptonic flavor mixing. The one-loop supersymmetric contributions to the leptonic flavor violating process are calculated in the physical basis, instead of using the well-known mass-insertion method. The flavor violating processes are also obtained, in particular is well within the experimental bounds. We present the regions in parameter space where the muon problem is either entirely solved or partially reduced through the contribution of these flavor violating processes.