<p>We present the implementation of next-to-next-to-leading order (NNLO) QCD fully-differential corrections within the G<span>eneva</span> framework, for both colour-singlet and colour-singlet+jet processes at hadron colliders, by employing a nonlocal subtraction approach. In particular, we discuss the implementation details and the challenges that arise when utilizing a dynamical infrared cutoff parameter. Additionally, we combine the subtraction with the projection-to-Born method in order to include fiducial power corrections. As a test case, we provide predictions for Drell-Yan and <i>Z</i>+jet production at the LHC, using <i>N</i>-jettiness as resolution variable. We validate the NNLO corrections of G<span>eneva</span> against <span>nnlojet</span> finding excellent agreement. Finally, we discuss how to extend our method to calculate the N<sup>3</sup>LO QCD fully-differential corrections to colour-singlet production at hadron colliders.</p>

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NNLO predictions with nonlocal subtractions and fiducial power corrections in GENEVA

  • Simone Alioli,
  • Georgios Billis,
  • Alessandro Broggio,
  • Giovanni Stagnitto

摘要

We present the implementation of next-to-next-to-leading order (NNLO) QCD fully-differential corrections within the Geneva framework, for both colour-singlet and colour-singlet+jet processes at hadron colliders, by employing a nonlocal subtraction approach. In particular, we discuss the implementation details and the challenges that arise when utilizing a dynamical infrared cutoff parameter. Additionally, we combine the subtraction with the projection-to-Born method in order to include fiducial power corrections. As a test case, we provide predictions for Drell-Yan and Z+jet production at the LHC, using N-jettiness as resolution variable. We validate the NNLO corrections of Geneva against nnlojet finding excellent agreement. Finally, we discuss how to extend our method to calculate the N3LO QCD fully-differential corrections to colour-singlet production at hadron colliders.