Heavy-to-light form factors to three loops
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arXiv
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| Autores principales: | , , , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866929509397168128 |
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| author | Fael, Matteo Huber, Tobias Lange, Fabian Müller, Jakob Schönwald, Kay Steinhauser, Matthias |
| author_facet | Fael, Matteo Huber, Tobias Lange, Fabian Müller, Jakob Schönwald, Kay Steinhauser, Matthias |
| contents | We compute three-loop corrections of $\mathcal{O}(α_{s}^3)$ to form factors with one massive and one massless quark coupling to an external vector, axialvector, scalar, pseudoscalar, or tensor current. We obtain analytic results for the color-planar contributions, for the contributions of light-quark loops, and the contributions with two heavy-quark loops. For the computation of the remaining master integrals we use the "expand and match" approach which leads to semi-analytic results for the form factors. We implement our results in a {\tt Mathematica} and a {\tt Fortran} code which allows for fast and precise numerical evaluations in the physically relevant phase space. The form factors are used to compute the hard matching coefficients in Soft-Collinear Effective Theory for all currents. The tensor coefficients at light-like momentum transfer are used to extract the hard function in $\bar B \to X_s γ$ to three loops. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_08182 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Heavy-to-light form factors to three loops Fael, Matteo Huber, Tobias Lange, Fabian Müller, Jakob Schönwald, Kay Steinhauser, Matthias High Energy Physics - Phenomenology We compute three-loop corrections of $\mathcal{O}(α_{s}^3)$ to form factors with one massive and one massless quark coupling to an external vector, axialvector, scalar, pseudoscalar, or tensor current. We obtain analytic results for the color-planar contributions, for the contributions of light-quark loops, and the contributions with two heavy-quark loops. For the computation of the remaining master integrals we use the "expand and match" approach which leads to semi-analytic results for the form factors. We implement our results in a {\tt Mathematica} and a {\tt Fortran} code which allows for fast and precise numerical evaluations in the physically relevant phase space. The form factors are used to compute the hard matching coefficients in Soft-Collinear Effective Theory for all currents. The tensor coefficients at light-like momentum transfer are used to extract the hard function in $\bar B \to X_s γ$ to three loops. |
| title | Heavy-to-light form factors to three loops |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2406.08182 |