https://doi.org/10.1140/epjc/s10052-024-12843-1
Regular Article - Theoretical Physics
Box integrals with fermion bubbles for low-energy measurements of the weak mixing angle
PRISMA Cluster of Excellence, Institut für Physik Johannes Gutenberg-Universität Mainz, 55099, Mainz, Germany
Received:
13
December
2023
Accepted:
22
April
2024
Published online:
14
May
2024
The Moller experiment and the P2 experiment aim at measuring the weak mixing angle at low scales. The Moller experiment uses -scattering, the P2 experiment uses
-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.
© The Author(s) 2024
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