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

Autor:	Böttcher, Nico, Schwanemann, Niklas, Weinzierl, Stefan
Rok vydání:	2023
Předmět:	High Energy Physics - Phenomenology
Druh dokumentu:	Working Paper
Popis:	The Moller experiment and the P2 experiment aim at measuring the weak mixing angle at low scales. The Moller experiment uses $e^- e^- \rightarrow e^- e^-$-scattering, the P2 experiment uses $e^- N \rightarrow e^- N$-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. Comment: 40 pages, v2: matches published version
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2312.06773 Zobrazit plný text záznamu View this record from Arxiv