Hadronic effects in Møller scattering at NNLO

Abstract

Abstract Two-loop electroweak corrections to polarized Møller scattering are studied in two different schemes at low energies. We find the finite Q 2 corrections to be well under control. The hadronic and perturbative QCD corrections to the γZ two-point function are incorporated through the weak mixing angle at low energies, which introduce an error of 0.08 × 10 −3 in the weak charge of the electron Q W e $$ {Q}_W^e $$ . Furthermore, by studying the scheme dependence, we obtain an estimate of the current perturbative electroweak uncertainty, δ Q W e $$ \delta {Q}_W^e $$ ≈ 0.23 × 10 −3, which is five times smaller than the precision estimated for the MOLLER experiment ( δ Q W e $$ \delta {Q}_W^e $$ = 1.1 × 10 −3). Future work is possible to reduce the theory error further.

Keywords

• Electroweak Precision Physics
• Higher Order Electroweak Calculations