Explanation Of Anomalous Magnetic Moment Of Muon In The Framework Of Gauge Mediated SUSY Breaking Mechanism

The Standard Modle(SM)of particle phisics is the most successful theory in particle physics.But,there are still some problems,such as hierarchy problem,dark matter puzzle,gauge coupling unitification problem,etc.Many new physics modles are proposed to solve these problems.Supersymetry is one of the most intresting new modles.This paper mainly focuses on the gauge mediation SUSY breaking(GMSB)mechanism.The SUSY contributions Δaμ to muon g-2 anomaly can not even reach 3σ in ordinary gauge mediation SUSY breaking scenarios because of the strong correlations between the colored sparticle masses and the EW sparticle masses.An interesting extension to GMSB is the EOGM,which can relax the correlations between squarks and sleptons with non-universal choices for Neff,3 and Neff,2.We find that EOGM scenarios with Neff,3<<Neff,2 can explain the muon g-2 anomaly within 3σrange.We also propose to extend EOGM with additional adjoint ∑8 and ∑3 messengers at a high scale of order 1.0 × 1014 GeV,which can shift the gauge coupling unification scale to the string scale.Such EOGM extension scenarios with adjoint messengers could spoil the unwanted gaugino mass ratios and give large SUSY contributions to Δaμ for Neff,3<<Neff,2,which can explain the muon g-2 anomaly within lσ.Besides,because of the large messenger scale of order 1.0 × 1014 GeV,such scenarios will in general lead to large |At| at the EW scale,which can accommodate the 125 GeV Higgs easily and possibly lead to smaller EWFT as well as BGFT.