Three loop master integrals for ${\mathcal{O}} (αα_s^2)$ corrections to quark form factor
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866915350081175552 |
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| author | Pati, Tanmoy Rana, Narayan |
| author_facet | Pati, Tanmoy Rana, Narayan |
| contents | We consider the three-loop mixed strong-electroweak (${\mathcal{O}}(αα_s^2)$) corrections to the quark form factor. We compute the master integrals which are appearing in the Feynman diagrams containing a single massive boson in the loop. We use the state-of-the-art method of differential equations to compute all 303 of them, expressing the results in terms of generalized polylogarithms. We encounter multiple square roots that cannot be simultaneously rationalized using a single transformation. Applying concurrent transformations allows us to express the results through generalized polylogarithms with a simple alphabet, but with multiple interdependent arguments. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_15363 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Three loop master integrals for ${\mathcal{O}} (αα_s^2)$ corrections to quark form factor Pati, Tanmoy Rana, Narayan High Energy Physics - Phenomenology High Energy Physics - Theory We consider the three-loop mixed strong-electroweak (${\mathcal{O}}(αα_s^2)$) corrections to the quark form factor. We compute the master integrals which are appearing in the Feynman diagrams containing a single massive boson in the loop. We use the state-of-the-art method of differential equations to compute all 303 of them, expressing the results in terms of generalized polylogarithms. We encounter multiple square roots that cannot be simultaneously rationalized using a single transformation. Applying concurrent transformations allows us to express the results through generalized polylogarithms with a simple alphabet, but with multiple interdependent arguments. |
| title | Three loop master integrals for ${\mathcal{O}} (αα_s^2)$ corrections to quark form factor |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2506.15363 |