The massless non-adjacent double off-shell scalar box integral -- branch cut structure and all-order epsilon expansion

DOI10.1007/JHEP05(2023)059arXiv2302.01956OpenAlexW4376171169MaRDI QIDQ6105264

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Publication date: 26 June 2023

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Abstract: 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 $d=4-2varepsilon$ 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.

Full work available at URL: https://arxiv.org/abs/2302.01956

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