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 pySecDec and present first results for sample jet and beam functions.
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.
We present an automated framework for the calculation of beam functions that describe collinear initial-state radiation at hadron colliders at next-to-next-to leading order (NNLO) in perturbation theory. By exploiting the infrared behaviour of the collinear matrix elements, we factorise the phase-space singularities with suitable observable-independent parametrisations. Our numerical approach applies to a large class of collider observables, and as a check of its validity, we compute the quark beam functions for transverse-momentum resummation and N-jettiness, which are known analytically at this order, finding excellent agreement.
We consider the quark beam function that describes collinear initial-state radiation that is constrained by a veto on reconstructed jets. As the veto is imposed on the transverse momenta of the jets, the beam function is subject to rapidity divergences, and we use the collinear-anomaly framework to extract the perturbative matching kernels to next-to-next-to-leading order (NNLO) in the strong-coupling expansion. Our calculation is based on a novel framework that automates the computation of beam functions in Mellin space and it provides the ingredients to extend jet-veto resummations for quark-initiated processes to NNLL′ accuracy.
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