Constraint on scalar leptoquark from low energy leptonic observables

We consider the full flavor structure of the $S_1$ leptoquark model and derive conservative constraints on the elements of the left- and right-handed coupling matrices. We focus on the cases where the muon $g-2$ deviation is explained by muon couplings to the top-quark or to the charm-quark or to all up-type quarks. The most significant constraints arise from charged lepton flavor violating decays of the muon and the $\tau$ lepton and from the $\mu-e$ conversion process. Kaon decays and perturbativity provide further constraints. We find strong constraints on almost all coupling matrix elements, implying a very hierarchical matrix structure, where individual entries must differ by at least 4 orders of magnitude. The $\texttt{FlexibleSUSY}$ program was used with appropriate model files incorporating the parameterization of the couplings in the up-type mass diagonal basis. The expressions for the leptonic observables were generated and cross-checked with the help of the $\texttt{NPointFunctions}$ extension of the $\texttt{FlexibleSUSY}$ program

Two-Loop Corrections to the Muon Magnetic Moment from Fermion/Sfermion Loops in the MSSM: Detailed Results

Recently, first results were presented for two-loop corrections to the muon (g-2) from fermion/sfermion loops in the MSSM. These corrections were shown to be generally large and even logarithmically enhanced for heavy sfermions. Here, full details of the calculation and analytical results are presented. Also, a very compact formula is provided which can be easily implemented and serves as a good approximation of the full result as a function of the fourteen most important input parameters. Finally, a thorough discussion of the numerical behaviour of the fermion/sfermion-loop corrections to (g-2)_\mu\ is given. The discussion includes the case of very heavy SUSY masses as well as experimentally allowed scenarios with very light SUSY masses.Comment: 56 pages, 20 figures. v2 is the journal version. The Mathematica code amu2Lapprox.m for the compact approximation formula can be obtained from http://iktp.tu-dresden.de/?id=theory-softwar