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We use the antenna subtraction method to isolate the infrared singularities present in QCD scattering amplitudes at next-to-next-to-leading order. In particular, infrared singularities due to double-real radiation and real-virtual radiation…

High Energy Physics - Phenomenology · Physics 2012-09-28 Joao Pires

Ordinary fracture functions, describing hadrons production in the deep inelastic scattering target fragmentation region, are generalized to account for the production of hadrons in arbitrary number, thus offering a renewed framework for…

High Energy Physics - Phenomenology · Physics 2008-11-26 Federico A. Ceccopieri , Luca Trentadue

We use the antenna subtraction method to isolate the mixed real-virtual infrared singularities present in gluonic scattering amplitudes at next-to-next-to-leading order. In a previous paper, we derived the subtraction term that rendered the…

High Energy Physics - Phenomenology · Physics 2015-06-03 Aude Gehrmann-De Ridder , E. W. N. Glover , Joao Pires

We use the antenna subtraction method to isolate the double virtual infrared singularities present in gluonic scattering amplitudes at next-to-next-to-leading order. In previous papers, we derived the subtraction terms that rendered (a) the…

High Energy Physics - Phenomenology · Physics 2015-06-12 Aude Gehrmann-De Ridder , Thomas Gehrmann , E. W. N. Glover , Joao Pires

We present analytic results that describe fully-differential NNLO QCD corrections to deep-inelastic scattering processes within the nested soft-collinear subtraction scheme. This is the last building block required for the application of…

High Energy Physics - Phenomenology · Physics 2020-01-29 Konstantin Asteriadis , Fabrizio Caola , Kirill Melnikov , Raoul Röntsch

In this paper we discuss the definition, the construction and the implementation of \textit{generalised antenna functions} for final-state radiation up to Next-to-Next-to-Leading Order (NNLO) in QCD. Generalised antenna functions…

High Energy Physics - Phenomenology · Physics 2025-02-14 Elliot Fox , Nigel Glover , Matteo Marcoli

We present an alternative subtraction scheme for the treatment of infrared divergences in NLO QCD calculations. In this scheme, the number of transformations is greatly reduced with respect to the standard subtraction scheme by Catani and…

High Energy Physics - Phenomenology · Physics 2010-01-18 T. Robens , C. H. Chung

The following aspects of hadronic final states in deep inelastic lepton scattering are reviewed: measuring $alpha_s$ from multi-jet production rates and event shapes; alternative jet algorithms for DIS; power-suppressed corrections to event…

High Energy Physics - Phenomenology · Physics 2007-05-23 B. R. Webber

We use the known soft and collinear limits of tree- and one-loop scattering amplitudes -- computed over a decade ago -- to explicitly construct a subtraction scheme for next-to-next-to-leading order (NNLO) computations. Our approach…

High Energy Physics - Phenomenology · Physics 2015-06-03 Radja Boughezal , Kirill Melnikov , Frank Petriello

In previous articles we outlined a subtraction scheme for regularizing doubly-real emission and real-virtual emission in next-to-next-to-leading order (NNLO) calculations of jet cross sections in electron-positron annihilation. In order to…

High Energy Physics - Phenomenology · Physics 2008-12-30 Gábor Somogyi , Zoltán Trócsányi

We present recent developments of the local analytic sector subtraction of infrared singularities for final state real radiation at NNLO in QCD.

High Energy Physics - Phenomenology · Physics 2019-12-20 Lorenzo Magnea , Ezio Maina , Giovanni Pelliccioli , Chiara Signorile-Signorile , Paolo Torrielli , Sandro Uccirati

As a first step towards the application of the antenna subtraction formalism to NNLO QCD reactions with massive quarks, we determine the real radiation antenna function and its integrated counterpart for reactions of the type $S \to Q{\bar…

High Energy Physics - Phenomenology · Physics 2015-05-28 Werner Bernreuther , Christian Bogner , Oliver Dekkers

We evaluate the phase-space integrals that arise in double real emission diagrams for semi-inclusive deep-inelastic scattering at next-to-next-to-leading order (NNLO) in QCD. Utilizing the reverse unitarity technique, we convert these…

High Energy Physics - Phenomenology · Physics 2025-03-31 Taushif Ahmed , Saurav Goyal , Syed Mehedi Hasan , Roman N. Lee , Sven-Olaf Moch , Vaibhav Pathak , Narayan Rana , Andreas Rapakoulias , V. Ravindran

Traditional close-coupling methods suppose an expansion of the total wave function in terms of inner stationary states of colliding subsystems. In the case of hadronic atoms, a similar expansion has to involve, \emph{inter alia}, low…

Nuclear Theory · Physics 2007-11-27 G. Ya. Korenman , S. N. Yudin

We present new sets of fragmentation functions for protons and inclusive charged hadrons obtained in combined NLO QCD analyses of single-inclusive hadron production in electron-positron annihilation, proton-proton collisions, and…

High Energy Physics - Phenomenology · Physics 2008-11-26 Daniel de Florian , Rodolfo Sassot , Marco Stratmann

We describe the calculation of the next-to-next-to-leading order (NNLO) QCD corrections to three-jet production and related event shape observables in electron-positron annihilation. Infrared singularities due to double real radiation at…

High Energy Physics - Phenomenology · Physics 2008-12-30 A. Gehrmann-De Ridder , T. Gehrmann , E. W. N. Glover , G. Heinrich

We discuss two recent developments of the sector-improved residue subtraction scheme for handling real radiation at NNLO in QCD. We present a new phase space construction which minimizes the number phase space configurations for subtraction…

High Energy Physics - Phenomenology · Physics 2022-09-21 Arnd Behring , Michal Czakon , Rene Poncelet

The parton distributions functions (PDFs) derived from the NNLO QCD analysis of existing light-targets deep-inelastic-scattering data are presented. The NLO and NNLO PDFs are compared in order to analyze perturbative stability of the…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. Alekhin

Semi-inclusive hadron production processes in deep-inelastic lepton-nucleon scattering are important probes of the quark flavour structure of the nucleon and of the fragmentation dynamics of quarks into hadrons. We compute the full…

High Energy Physics - Phenomenology · Physics 2024-06-21 Leonardo Bonino , Thomas Gehrmann , Giovanni Stagnitto

We propose a new method of computing real emission contributions to hard QCD processes. Our approach uses sector decomposition of the exclusive final-state phase space to enable extraction of all singularities of the real emission matrix…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. Anastasiou , Kirill Melnikov , Frank Petriello