Bananas of equal mass: any loop, any order in the dimensional regularisation parameter

DOI10.1007/JHEP04(2023)117arXiv2212.08908OpenAlexW4366988283MaRDI QIDQ6105677

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Publication date: 9 June 2023

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Abstract: We describe a systematic approach to cast the differential equation for the $l$-loop equal mass banana integral into an $varepsilon$-factorised form. With the known boundary value at a specific point we obtain systematically the term of order $j$ in the expansion in the dimensional regularisation parameter $varepsilon$ for any loop $l$. The approach is based on properties of Calabi-Yau operators, and in particular on self-duality.

Full work available at URL: https://arxiv.org/abs/2212.08908

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