Automation of Beam and Jet functions at NNLO

TL;DR

This paper introduces a new computational framework for efficiently calculating jet and beam functions at NNLO, utilizing phase-space parametrisation and numerical integration, implemented in the pySecDec code.

Contribution

The paper develops a novel method for NNLO calculations of jet and beam functions by exploiting infrared properties and phase-space parametrisation, with implementation in open-source software.

Findings

First results for sample jet and beam functions demonstrate the method's effectiveness.

The framework simplifies NNLO calculations by combining analytical and numerical techniques.

Implementation in pySecDec makes the approach accessible for further research.

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 phase-space parametrisations and perform the observable-dependent integrations numerically. We have implemented our approach in the publicly available code {\tt pySecDec} and present first results for sample jet and beam functions.