Generic dijet soft functions at two-loop order: uncorrelated emissions

Guido Bell; Rudi Rahn; Jim Talbert

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arXiv · 2004.08396

Generic dijet soft functions at two-loop order: uncorrelated emissions

Guido Bell·Rudi Rahn·Jim Talbert

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Abstract

We extend our algorithm for automating the calculation of two-loop dijet soft functions to observables that do not obey the non-Abelian exponentiation theorem, i.e. to those that require an independent calculation of the uncorrelated-emission contribution. As the singularity structure of uncorrelated double emissions differs substantially from the one for correlated emissions, we introduce a novel phase-space parametrisation that isolates the corresponding divergences. The resulting integrals are implemented in SoftSERVE 1.0, which we release alongside of this work, and which we supplement by a regulator that is consistent with the rapidity renormalisation group framework. Using our automated setup, we confirm existing results for various jet-veto observables and provide a novel prediction for the soft-drop jet-grooming algorithm.

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Guido Bell, Rudi Rahn, Jim Talbert. 2020-04-17. Generic dijet soft functions at two-loop order: uncorrelated emissions. https://arxiv.org/abs/2004.08396

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