Two-Loop Effects in Low-Energy Electroweak Measurements

TL;DR

This paper discusses the calculation of two-loop electroweak corrections to electron-electron scattering, highlighting their significance for ultra-precision measurements and the adaptability of the techniques to other low-energy lepton processes.

Contribution

It presents the first detailed two-loop electroweak correction calculations for electron-electron scattering and introduces adaptable NNLO calculation techniques.

Findings

Two-loop corrections contribute a few percent to polarization asymmetry.

The developed techniques can be applied to other low-energy lepton scattering processes.

Two-loop effects are significant for ultra-precision experiments like MOLLER.

Abstract

We outline the recent results on the two-loop electroweak contributions to the electron-electron scattering cross sections and asymmetries. Although the two-loop corrections are strongly suppressed relative to the one-loop corrections, they still contribute a few percent to the polarization asymmetry, and even this small contribution cannot be ignored at for ultra-precision experiments such as MOLLER planned at JLab. The NNLO calculation techniques we developed for the electron-electron scattering can be adapted for electron-proton processes, electron-positron collisions, and other low-energy experiments involving leptons.