2023/12/11 by Nico Böttcher, Böttcher, Nico, Niklas Schwanemann +3
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions
paper · pdf · doi:10.48550/arxiv.2312.06773
openalex publication_date 2023/12/11 · openalex created_date 2023/12/15 · openalex updated_date 2026/07/28
The Moller experiment and the P2 experiment aim at measuring the weak mixing angle at low scales. The Moller experiment uses e- e- → e- e--scattering, the P2 experiment uses e- N → e- N-scattering. In both cases, two-loop electroweak corrections have to be taken into account, and here in particular diagrams which give rise to large logarithms. In this paper we compute a set of two-loop electroweak Feynman integrals for point-like particles, which are obtained from a box integral by the insertion of a light fermion loop. By rationalising all occurring square roots we show that these Feynman integrals can be expressed in terms of multiple polylogarithms. We present the results in a form, which makes the large logarithms manifest. We provide highly efficient numerical evaluation routines for these integrals.