Implications of Muon g-2 for Supersymmetry and for Discovering Superpartners Directly

TL;DR

The implications of interpreting the recent muon g(mu) -- 2 deviation from the standard model prediction as evidence for virtual superpartners are studied, with very general calculations that include effects of phases and are consistent with all relevant constraints.

Abstract

We study the implications of interpreting the recent muon g-2 deviation from the Standard Model prediction as evidence for virtual superpartners, with very general calculations that include effects of phases and are consistent with all relevant constraints. The most important result is that there are upper limits on masses: at least one superpartner mass is below about 350 GeV (for the theoretically preferred value of tan(beta)=35) and may be produced at the Fermilab Tevatron in the upcoming run, and there must be chargino, neutralino, and slepton masses below about 600 GeV. In addition, tan(beta) must be larger than about 8.

Figures (1)

• Figure 1: In this figure $m_{\chi_1}$ denotes the lightest chargino or neutralino, and $m_{{\rm slepton}}$ the lightest smuon or muon sneutrino. The regions above a given $\tan \beta$ line are excluded. We require agreement with experiment within $1 \sigma$ (see text). Below $\tan \beta \approx 8$ no allowed region remains. $\tan \beta$, the ratio of the two Higgs vacuum expectation values, is defined in the text; approximate Yukawa coupling unification suggests $\tan \beta \sim 35$. Thus the figure implies related upper limits on the lightest chargino/neutralino and slepton masses.