Quadratic electroweak corrections for polarized Moller scattering

TL;DR

This paper calculates two-loop electroweak corrections to polarized Moller scattering asymmetry, crucial for high-precision experiments like MOLLER, highlighting the importance of including these corrections for accurate measurements.

Contribution

It provides the first detailed calculation of NNLO electroweak corrections for polarized Moller scattering, considering imaginary parts and infrared issues.

Findings

Partial corrections are significant, affecting experimental precision.

Two-loop corrections must be included for future high-precision measurements.

The study emphasizes the need for complete two-loop electroweak correction analysis.

Abstract

The paper discusses the two-loop (NNLO) electroweak radiative corrections to the parity violating electron-electron scattering asymmetry induced by squaring one-loop diagrams. The calculations are relevant for the ultra-precise 11 GeV MOLLER experiment planned at Jefferson Laboratory and experiments at high-energy future electron colliders. The imaginary parts of the amplitudes are taken into consideration consistently in both the infrared-finite and divergent terms. The size of the obtained partial correction is significant, which indicates a need for a complete study of the two-loop electroweak radiative corrections in order to meet the precision goals of future experiments.