Integral of the double-emission eikonal function for a massive and a massless emitter at an arbitrary angle
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
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2025
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| author | Horstmann, Dennis Melnikov, Kirill Long, Ming-Ming Pikelner, Andrey |
| author_facet | Horstmann, Dennis Melnikov, Kirill Long, Ming-Ming Pikelner, Andrey |
| contents | We present an analytic calculation of the integrated double-emission eikonal function of a massive and a massless emitter whose momenta are at an arbitrary angle to each other. This quantity provides one of the required ingredients for extending the nested soft-collinear subtraction scheme to processes with massive final-state particles. To calculate it, we use the standard methodology involving reverse unitarity and its extension to cases with Heaviside functions, integration-by-parts technology and reduction to master integrals, and differential equations. In addition, we also describe a semi-numerical method based on the subtraction of infra-red and collinear singularities from the eikonal function, allowing us to extract divergences of the integrated eikonal function analytically, and to derive a simple integral representation for the finite remainder. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_20977 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Integral of the double-emission eikonal function for a massive and a massless emitter at an arbitrary angle Horstmann, Dennis Melnikov, Kirill Long, Ming-Ming Pikelner, Andrey High Energy Physics - Phenomenology We present an analytic calculation of the integrated double-emission eikonal function of a massive and a massless emitter whose momenta are at an arbitrary angle to each other. This quantity provides one of the required ingredients for extending the nested soft-collinear subtraction scheme to processes with massive final-state particles. To calculate it, we use the standard methodology involving reverse unitarity and its extension to cases with Heaviside functions, integration-by-parts technology and reduction to master integrals, and differential equations. In addition, we also describe a semi-numerical method based on the subtraction of infra-red and collinear singularities from the eikonal function, allowing us to extract divergences of the integrated eikonal function analytically, and to derive a simple integral representation for the finite remainder. |
| title | Integral of the double-emission eikonal function for a massive and a massless emitter at an arbitrary angle |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2504.20977 |