NLO and NNLO EWC for PV Moller Scattering

TL;DR

This paper calculates high-precision electroweak radiative corrections, including two-loop effects, for parity-violating Moller scattering to support upcoming experiments like MOLLER at JLab, ensuring accurate extraction of physics beyond the Standard Model.

Contribution

It provides a comprehensive, gauge-invariant calculation of one-loop and two-loop radiative corrections using both automated and manual methods, enhancing the precision of theoretical predictions for Moller scattering.

Findings

Two approaches agree within error margins, validating the calculations.

Two-loop corrections are significant for upcoming precision measurements.

The results support accurate interpretation of MOLLER experiment data.

Abstract

High-precision electroweak experiments such as parity-violating Moller scattering can provide indirect access to physics at multi-TeV scales and play an important complementary role to the LHC research program. However, before physics of interest can be extracted from experimental data, electroweak radiative corrections, which can significantly reduce the cross-section asymmetry, must be calculated with an unprecedented completeness and accuracy. Although the two-loop corrections are strongly suppressed relative to the one-loop corrections, they can no longer be dismissed for the upcoming precision experiments. We evaluate a full gauge-invariant set of one-loop and several types of two-loop radiative corrections for the parity-violating electron-electron scattering asymmetry by combining two distinct but mutually-reinforcing techniques: semiautomatic, precise, with FeynArts and FormCalc as base languages, and by hand, with some approximations. For 11 GeV relevant for the ultra-precise MOLLER experiment planned at JLab, the results obtained by two approaches are in excellent agreement, which gives us assurance that our calculations are error-free.