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  All master integrals for three-jet production at NNLO

Chicherin, D., Gehrmann, T., Henn, J., Wasser, P., Zhang, Y., & Zoia, S. (2019). All master integrals for three-jet production at NNLO. Physical Review Letters, 123, 041603. Retrieved from https://publications.mppmu.mpg.de/?action=search&mpi=MPP-2018-306.

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Chicherin, D.1, Author
Gehrmann, T.1, Author
Henn, J.M.1, Author
Wasser, P.1, Author
Zhang, Y.1, Author
Zoia, S.1, Author
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1Max Planck Institute for Physics, Max Planck Society and Cooperation Partners, ou_2253650              

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Free keywords: Phenomenology of High Energy Physics
 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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 Dates: 2019
 Publication Status: Issued
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Title: Physical Review Letters
  Abbreviation : Phys.Rev.Lett.
Source Genre: Journal
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Pages: - Volume / Issue: 123 Sequence Number: - Start / End Page: 041603 Identifier: -