Precise prediction forM_Win the MSSM

Abstract

We present the currently most accurate evaluation of the W boson mass, M W , in the Minimal Supersymmetric Standard Model (MSSM). The full complex phase dependence at the one-loop level, all available MSSM two-loop corrections as well as the full Standard Model result have been included. We analyse the impact of the different sectors of the MSSM at the one-loop level with a particular emphasis on the effect of the complex phases. We discuss the prediction for M W based on all known higher-order contributions in representative MSSM scenarios. Furthermore we obtain an estimate of the remaining theoretical uncertainty from unknown higher-order corrections. * email: Sven.Heinemeyer@cern.ch †

First Measurement of theW-Boson Mass in Run II of the Tevatron

“…In the SM the contributions to ∆r are dominated by the top quark and the Higgs boson loops, such that M W in conjunction with the top quark mass constrains the mass m H of the undiscovered Higgs boson. An m H constraint inconsistent with direct searches can indicate the presence of new physics, such as contributions to ∆r from supersymmetric particles [2].…”

Precision Observables in the MSSM: W mass and the muon magnetic moment

“…This prediction has been implemented in a computer code that will be made publicly avaliable. The remaining theory error of this MSSM prediction of M W , due to the unknown multi-loop contributions estimated in [9] and to the unknown phase dependence beyond the one-loop level [10], has been estimated to δ M W = (4.7 − 10.6) MeV, depending on the SUSY mass scale. Hence the precision of this prediction is better than the current experimental precision and matches the foreseen precision after LHC and a linear e + e − collider.…”

“…In [10], all existing SM and MSSM results have been combined with a new evaluation of the one-loop MSSM contribution that also takes into account complex phases. In this way, a very precise and reliable prediction for M W in the MSSM has been obtained.…”

Non-decoupling two-loop corrections to (g−2)μ from fermion/sfermion loops in the MSSM

“…The leading contributions to ∆r are given by ∆α(M Z ) and the fermion-and sfermion-loop contributions to the quantity ∆ρ, see Ref. [57] for definitions and a precise MSSM evaluation. Inserted into a 1L µ , the differences are numerically sizeable, and this ambiguity is an inherent source of theory uncertainty of the one-loop calculation.…”