2021
DOI: 10.48550/arxiv.2110.04804
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Automation of Beam and Jet functions at NNLO

Abstract: We present a novel framework to streamline the calculation of jet and beam functions to next-to-next-to-leading order (NNLO) in perturbation theory. By exploiting the infrared behaviour of the collinear splitting functions, we factorise the singularities with suitable phasespace parametrisations and perform the observable-dependent integrations numerically. We have implemented our approach in the publicly available code pySecDec and present first results for sample jet and beam functions.

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Cited by 2 publications
(2 citation statements)
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“…Many of the contributions that are relevant for NNLL resummation of jet shapes have already been computed [44], predominately using SCET techniques, and have reached a considerable degree of automation, see e.g. [117][118][119]. Furthermore, first calculations for groomed observables exist even at N 3 LL [25] and with an improved description of the transition between groomed and ungroomed regimes [115].…”
Section: Discussionmentioning
confidence: 99%
“…Many of the contributions that are relevant for NNLL resummation of jet shapes have already been computed [44], predominately using SCET techniques, and have reached a considerable degree of automation, see e.g. [117][118][119]. Furthermore, first calculations for groomed observables exist even at N 3 LL [25] and with an improved description of the transition between groomed and ungroomed regimes [115].…”
Section: Discussionmentioning
confidence: 99%
“…Many of the contributions that are relevant for NNLL resummation of jet shapes have already been computed [44], predominately using SCET techniques, and have reached a considerable degree of automation, see e.g. [117][118][119]. Furthermore, first calculations for groomed observables exist even at N 3 LL [25] and with an improved description of the transition between groomed and ungroomed regimes [115].…”
Section: Jhep03(2022)131mentioning
confidence: 99%