NNLOCAL: Completely Local Subtractions

TL;DR

NNLOCAL introduces a new local subtraction method with universal counterterms for higher-order cross section calculations, improving numerical stability and enabling precise predictions for processes like Higgs production at NNLO.

Contribution

It presents a novel local subtraction technique with analytically integrated counterterms, enhancing the accuracy and stability of NNLO cross-section computations.

Findings

Validated by computing NNLO Higgs production cross-section.

Achieved improved numerical stability in divergence subtraction.

Demonstrated effectiveness for LHC relevant processes.

Abstract

The computation of higher-order corrections to cross sections relevant at LHC involves the evaluation of phase-space integrals that exhibit soft and collinear divergences. The subtraction of these divergences is a key ingredient to obtain fully-differential predictions for physical observables. We discuss a subtraction method to handle these divergences based on the construction of universal local counterterms. The integration of the counterterms is carried out analytically, giving a strong control on the numerical stability of our predictions. We implement our method in a numerical program, that we dub NNLOCAL, and validate it by computing the fully-differential NNLO cross-section for Higgs boson production in gluon-gluon fusion.