The massless non-adjacent double off-shell scalar box integral -- branch cut structure and all-order epsilon expansion
We generalize the result of our recent paper on the massless single off-shell scalar box integral to the case of two non-adjacent end points off the light cone. An analytic result in \(d=4-2\varepsilon\) dimensions is established in terms of four Gauss hypergeometric \({_2}\mathrm{F}_1\) functions r...
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Veröffentlicht in: | arXiv.org 2023-05 |
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Hauptverfasser: | , |
Format: | Artikel |
Sprache: | eng |
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Zusammenfassung: | We generalize the result of our recent paper on the massless single off-shell scalar box integral to the case of two non-adjacent end points off the light cone. An analytic result in \(d=4-2\varepsilon\) dimensions is established in terms of four Gauss hypergeometric \({_2}\mathrm{F}_1\) functions respectively their single-valued counterparts. This allows for an explicit splitting of real and imaginary parts, as well as an all-order \(\varepsilon\)-expansion in terms of single-valued polylogarithms. |
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ISSN: | 2331-8422 |
DOI: | 10.48550/arxiv.2302.01956 |