Fiducial perturbative power corrections within the q$_{\bf T}$ subtraction formalism

TL;DR

This paper introduces a method to remove linear power corrections in the q_T subtraction formalism for high-mass system production in hadron collisions, achieving high-precision predictions at N3LO for fiducial cross sections.

Contribution

We develop a consistent approach to eliminate linear power corrections in q_T within the subtraction formalism, enabling precise N3LO predictions for fiducial cross sections.

Findings

Method effectively removes linear power corrections.

Predictions agree at the per mille level with existing formalisms up to NNLO.

Achieves high-precision N3LO predictions for fiducial cross sections.

Abstract

We consider higher-order QCD corrections to the production of high-mass systems in hadron collisions within the transverse-momentum (q$_{\rm T}$) subtraction formalism. We present a method to consistently remove the linear power corrections in q$_{\rm T}$ which appears when fiducial kinematical cuts are applied on the final state system. We consider explicitly the case of fiducial cross sections for Drell-Yan lepton pair production at the Large Hadron Collider up to next-to-next-to-next-to-leading order (N$^3$LO) in QCD. We have implemented our method within the DYTurbo numerical program and we have obtained perturbative predictions which are in agreement at the per mille level with those obtained with local subtraction formalisms up to the next-to-next-to-leading order (NNLO). At the N3LO we are able to provide predictions for fiducial cross sections with numerical accuracy at the per mille level.