NNLO QCD corrections to $γγ\rightarrow Q\bar{Q}$ from Local Unitarity combined with Coulomb resummation and NLO EW effects

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Main Authors: Capatti, Zeno, Fraaije, Mathijs, Hirschi, Valentin, Huber, Lucien, Ruijl, Ben, Shao, Hua-Sheng
Format: Preprint
Published: 2025
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author Capatti, Zeno
Fraaije, Mathijs
Hirschi, Valentin
Huber, Lucien
Ruijl, Ben
Shao, Hua-Sheng
author_facet Capatti, Zeno
Fraaije, Mathijs
Hirschi, Valentin
Huber, Lucien
Ruijl, Ben
Shao, Hua-Sheng
contents The Local Unitarity (LU) formalism provides a constructive, integrand-level realisation of the Kinoshita-Lee-Nauenberg (KLN) theorem, by combining loop and phase-space integrals appearing in scattering cross-sections in such a way that their final-state infrared singularities cancel before integration. Supplemented with localised ultraviolet renormalisation, it enables the direct Monte Carlo integration of cross sections at arbitrary perturbative order in four-dimensional spacetime. In this paper, we present its application to the next-to-next-to-leading order (NNLO) QCD total cross sections for heavy-quark pair production in direct photon fusion, involving the contribution from 138 distinct forward-scattering diagrams where external photons couple only to heavy quarks. By combining NNLO QCD with next-to-leading order (NLO) electroweak (EW) corrections and next-to-leading power (NLP) Coulomb resummation, we obtain state-of-the-art predictions for top-, bottom-, and charm-quark production in ultraperipheral hadron collisions and at $e^+ e^-$ colliders.
format Preprint
id arxiv_https___arxiv_org_abs_2509_13439
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle NNLO QCD corrections to $γγ\rightarrow Q\bar{Q}$ from Local Unitarity combined with Coulomb resummation and NLO EW effects
Capatti, Zeno
Fraaije, Mathijs
Hirschi, Valentin
Huber, Lucien
Ruijl, Ben
Shao, Hua-Sheng
High Energy Physics - Phenomenology
High Energy Physics - Experiment
High Energy Physics - Theory
The Local Unitarity (LU) formalism provides a constructive, integrand-level realisation of the Kinoshita-Lee-Nauenberg (KLN) theorem, by combining loop and phase-space integrals appearing in scattering cross-sections in such a way that their final-state infrared singularities cancel before integration. Supplemented with localised ultraviolet renormalisation, it enables the direct Monte Carlo integration of cross sections at arbitrary perturbative order in four-dimensional spacetime. In this paper, we present its application to the next-to-next-to-leading order (NNLO) QCD total cross sections for heavy-quark pair production in direct photon fusion, involving the contribution from 138 distinct forward-scattering diagrams where external photons couple only to heavy quarks. By combining NNLO QCD with next-to-leading order (NLO) electroweak (EW) corrections and next-to-leading power (NLP) Coulomb resummation, we obtain state-of-the-art predictions for top-, bottom-, and charm-quark production in ultraperipheral hadron collisions and at $e^+ e^-$ colliders.
title NNLO QCD corrections to $γγ\rightarrow Q\bar{Q}$ from Local Unitarity combined with Coulomb resummation and NLO EW effects
topic High Energy Physics - Phenomenology
High Energy Physics - Experiment
High Energy Physics - Theory
url https://arxiv.org/abs/2509.13439