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

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arxiv 2212.08908 v2 pith:PXX5SXWR submitted 2022-12-17 hep-th hep-phmath-phmath.MP

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

classification hep-th hep-phmath-phmath.MP
keywords loopapproachdimensionalequalmassorderparameterregularisation
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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Cited by 11 Pith papers

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