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| Natura: | Preprint |
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2023
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| Accesso online: | https://arxiv.org/abs/2312.06773 |
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| _version_ | 1866910521941295104 |
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| author | Böttcher, Nico Schwanemann, Niklas Weinzierl, Stefan |
| author_facet | Böttcher, Nico Schwanemann, Niklas Weinzierl, Stefan |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_06773 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Box integrals with fermion bubbles for low-energy measurements of the weak mixing angle Böttcher, Nico Schwanemann, Niklas Weinzierl, Stefan High Energy Physics - Phenomenology 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. |
| title | Box integrals with fermion bubbles for low-energy measurements of the weak mixing angle |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2312.06773 |