Analytic auxiliary mass flow to compute master integrals in singular kinematics
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866909177144672256 |
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| author | Fontana, Gaia Gehrmann, Thomas Schönwald, Kay |
| author_facet | Fontana, Gaia Gehrmann, Thomas Schönwald, Kay |
| contents | The computation of master integrals from their differential equations requires boundary values to be supplied by an independent method. These boundary values are often desired at singular kinematical points. We demonstrate how the auxiliary mass flow technique can be extended to compute the expansion coefficients of master integrals in a singular limit in an analytical manner, thereby providing these boundary conditions. To illustrate the application of the method, we re-compute the phase space integrals relevant to initial-final antenna functions at NNLO, now including higher-order terms in their $ε$-expansion in view of their application in third-order QCD corrections. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_08226 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Analytic auxiliary mass flow to compute master integrals in singular kinematics Fontana, Gaia Gehrmann, Thomas Schönwald, Kay High Energy Physics - Phenomenology The computation of master integrals from their differential equations requires boundary values to be supplied by an independent method. These boundary values are often desired at singular kinematical points. We demonstrate how the auxiliary mass flow technique can be extended to compute the expansion coefficients of master integrals in a singular limit in an analytical manner, thereby providing these boundary conditions. To illustrate the application of the method, we re-compute the phase space integrals relevant to initial-final antenna functions at NNLO, now including higher-order terms in their $ε$-expansion in view of their application in third-order QCD corrections. |
| title | Analytic auxiliary mass flow to compute master integrals in singular kinematics |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2401.08226 |