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- Title
Box integrals with fermion bubbles for low-energy measurements of the weak mixing angle.
- Authors
Böttcher, Nico; Schwanemann, Niklas; Weinzierl, Stefan
- Abstract
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.
- Subjects
FEYNMAN integrals; FERMIONS; SQUARE root; INTEGRALS; ANGLES; ELECTROWEAK interactions
- Publication
European Physical Journal C -- Particles & Fields, 2024, Vol 84, Issue 5, p1
- ISSN
1434-6044
- Publication type
Article
- DOI
10.1140/epjc/s10052-024-12843-1