NNLOCAL: Completely Local Subtractions

Vittorio Del Duca; Claude Duhr; Levente Fekésházy; Flavio Guadagni; Pooja Mukherjee; Gábor Somogyi; Francesco Tramontano; Sam Van Thurenhout

arXiv · 2601.02033

NNLOCAL: Completely Local Subtractions

Vittorio Del Duca·Claude Duhr·Levente Fekésházy·Flavio Guadagni·Pooja Mukherjee·Gábor Somogyi·Francesco Tramontano·Sam Van Thurenhout

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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.

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Vittorio Del Duca, Claude Duhr, Levente Fekésházy, Flavio Guadagni, Pooja Mukherjee, Gábor Somogyi, Francesco Tramontano, Sam Van Thurenhout. 2026-01-05. NNLOCAL: Completely Local Subtractions. https://arxiv.org/abs/2601.02033

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