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All master integrals for three-jet production at NNLO

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arxiv 1812.11160 v3 pith:OFHLM7GJ submitted 2018-12-28 hep-ph hep-th

D. Chicherin , T. Gehrmann , J. M. Henn , P. Wasser , Y. Zhang , S. Zoia This is my paper · ORCID
classification hep-phhep-th
keywords integralsdifferentialequationsevaluatemasslessmasternonplanarscattering
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abstract

We evaluate analytically all previously unknown nonplanar master integrals for massless five-particle scattering at two loops, using the differential equations method. A canonical form of the differential equations is obtained by identifying integrals with constant leading singularities, in $D$ space-time dimensions. These integrals evaluate to $\mathbb{Q}$-linear combinations of multiple polylogarithms of uniform weight at each order in the expansion in the dimensional regularization parameter, and are in agreement with previous conjectures for nonplanar pentagon functions. Our results provide the complete set of two-loop Feynman integrals for any massless $2\to 3$ scattering process, thereby opening up a new level of precision collider phenomenology.

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Cited by 6 Pith papers

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