Box integrals with fermion bubbles for low-energy measurements of the weak mixing angle

Autor: Nico Böttcher, Niklas Schwanemann, Stefan Weinzierl
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: European Physical Journal C: Particles and Fields, Vol 84, Iss 5, Pp 1-22 (2024)
Druh dokumentu: article
ISSN: 1434-6052
DOI: 10.1140/epjc/s10052-024-12843-1
Popis: Abstract The Moller experiment and the P2 experiment aim at measuring the weak mixing angle at low scales. The Moller experiment uses $$e^- e^- \rightarrow e^- e^-$$ e - e - → e - e - -scattering, the P2 experiment uses $$e^- N \rightarrow e^- N$$ 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.
Databáze: Directory of Open Access Journals
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