Master integrals for semi-inclusive cuts of massless four-loop propagators
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866913757675913216 |
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| author | Magerya, Vitaly Fekésházy, Levente |
| author_facet | Magerya, Vitaly Fekésházy, Levente |
| contents | We present the analytic calculation of all master integrals for 3-, 4-, and 5-particle semi-inclusive cuts of four-loop massless propagators by means of differential equations. We fix the integration constants by reducing the semi-inclusive integrals to their fully inclusive counterparts with the Integration-By-Parts (IBP) method. We validate our results by calculating the next-to-next-to-next-to-leading order (N3LO) semi-inclusive $e^+e^- \to X$ cross-section and integrating directly over the differential variable. We provide the results in a machine-readable form. The presented integrals are essential for the direct calculation of NNLO time-like splitting functions and N3LO coefficient functions, which play a crucial role in precision QCD calculations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_19837 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Master integrals for semi-inclusive cuts of massless four-loop propagators Magerya, Vitaly Fekésházy, Levente High Energy Physics - Phenomenology We present the analytic calculation of all master integrals for 3-, 4-, and 5-particle semi-inclusive cuts of four-loop massless propagators by means of differential equations. We fix the integration constants by reducing the semi-inclusive integrals to their fully inclusive counterparts with the Integration-By-Parts (IBP) method. We validate our results by calculating the next-to-next-to-next-to-leading order (N3LO) semi-inclusive $e^+e^- \to X$ cross-section and integrating directly over the differential variable. We provide the results in a machine-readable form. The presented integrals are essential for the direct calculation of NNLO time-like splitting functions and N3LO coefficient functions, which play a crucial role in precision QCD calculations. |
| title | Master integrals for semi-inclusive cuts of massless four-loop propagators |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2503.19837 |