Left-right asymmetry from supersymmetry in polarized Moller scattering.

Abstract

In this thesis, the sensitivity of a proposed Moller experiment $(\sqrt{s} = 200$ MeV), which aims to make an extremely high precision measurement of the manifestly parity-violating Left-Right Asymmetry $(A\sb{LR}),$ to supersymmetry is investigated. The contributions from the Minimal Supersymmetric Standard Model (MSSM) to $A\sb{LR}$ are calculated. An effective low energy Lagrangian is constructed, which has general applicability to the calculation of any low energy parity-violating electron/positron scattering process. It is shown that all the leading parity-violating contributions to M$\phi$ller scattering may be absorbed into a single coupling in the effective Lagrangian. The complete analytic expressions for the supersymmetric contributions to $A\sb{LR}$ are obtained. The parameter space of the general low energy MSSM and the Supergravity based MSSM are scanned, and the regions of parameter space that the experiment will be sensitive to are delineated. The conclusion is that the sensitivity of the experiment to supersymmetry is minimal.