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We present a novel subtraction method to remove the soft and collinear divergences at next-to-leading order for processes involving an arbitrary number of fragmentation functions, where this method acts directly in the hadronic…

High Energy Physics - Phenomenology · Physics 2024-03-22 M. S. Zidi , J. Ph. Guillet , I. Schienbein , H. Zaraket

We consider direct diphoton production in hadron collisions, and we compute the next-to-next-to-leading order (NNLO) QCD radiative corrections at the fully-differential level. Our calculation uses the $q_T$ subtraction formalism and it is…

High Energy Physics - Phenomenology · Physics 2016-06-27 Stefano Catani , Leandro Cieri , Daniel de Florian , Giancarlo Ferrera , Massimiliano Grazzini

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 a subtraction scheme for computing jet cross sections in electron-positron annihilation at next-to-next-to-leading order accuracy in perturbative QCD. In this first part we deal with the regularization of the doubly-real…

High Energy Physics - Phenomenology · Physics 2010-10-27 Gabor Somogyi , Zoltan Trocsanyi , Vittorio Del Duca

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

Perturbative calculations at next-to-next-to-leading order for multi-particle final states require a method to cancel infrared singularities. I discuss how to setup the subtraction method at NNLO.

High Energy Physics - Phenomenology · Physics 2011-09-13 Stefan Weinzierl

We report on the first fully differential calculation of the next-to-next-to-leading-order (NNLO) QCD radiative corrections to the production of bottom-quark pairs at hadron colliders. The calculation is performed by using the $q_T$…

High Energy Physics - Phenomenology · Physics 2021-03-17 Stefano Catani , Simone Devoto , Massimiliano Grazzini , Stefan Kallweit , Javier Mazzitelli

We present an extension of the antenna subtraction formalism at NLO to include massive final state fermions. The basic ingredients to the subtraction terms, the NLO massive final-final antenna functions are derived and integrated over the…

High Energy Physics - Phenomenology · Physics 2009-07-22 A. Gehrmann-De Ridder , M. Ritzmann

We finish the definition of a subtraction scheme for computing NNLO corrections to QCD jet cross sections. In particular, we perform the integration of the soft-type contributions to the doubly unresolved counterterms via the method of…

High Energy Physics - Phenomenology · Physics 2013-04-12 Gabor Somogyi

We present the first application of antenna subtraction at next-to-next-to-next-to-leading order (N$^3$LO) in QCD by computing fully differential predictions for two-jet production at electron-positron colliders. We illustrate the structure…

High Energy Physics - Phenomenology · Physics 2025-09-03 Xuan Chen , Petr Jakubčík , Matteo Marcoli , Giovanni Stagnitto

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 a subtraction method utilizing the N-jettiness observable, Tau_N, to perform QCD calculations for arbitrary processes at next-to-next-to-leading order (NNLO). Our method employs soft-collinear effective theory (SCET) to determine…

High Energy Physics - Phenomenology · Physics 2015-09-29 Jonathan Gaunt , Maximilian Stahlhofen , Frank J. Tackmann , Jonathan R. Walsh

The production of two jets is the simplest exclusive quantum chromodynamics process in electron-positron annihilation. Using this process, we examine the structure of next-to-next-to-leading order (NNLO) corrections to jet production…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Gehrmann-De Ridder , T. Gehrmann , E. W. N. Glover

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

The study of top-quark production and decay is central in the LHC physics programme, allowing precise tests of the Standard Model and offering a window on possible new physics. Accurate theoretical predictions for this process are therefore…

High Energy Physics - Phenomenology · Physics 2019-12-17 Simone Devoto

We consider higher-order QCD corrections to the production of colourless high-mass systems (lepton pairs, vector bosons, Higgs bosons,...) in hadron collisions. We propose a new formulation of the subtraction method to numerically compute…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. Catani , M. Grazzini

We present a new method for the local subtraction of infrared divergences at next-to-next-to-leading order (NNLO) in QCD, for generic infrared-safe observables. Our method attempts to conjugate the minimal local counterterm structure…

High Energy Physics - Phenomenology · Physics 2019-05-03 Lorenzo Magnea , Ezio Maina , Giovanni Pelliccioli , Chiara Signorile-Signorile , Paolo Torrielli , Sandro Uccirati

The antenna subtraction method for NNLO QCD calculations is implemented in the NNLOJET parton-level event generator code to compute jet cross sections and related observables in electron-positron, lepton-hadron and hadron-hadron collisions.…

Calculations for processes involving a high multiplicity of coloured particles often employ a leading colour approximation, where only the leading terms in the expansion of the number of colours $N_c$ and the number of flavours $n_f$ are…

High Energy Physics - Phenomenology · Physics 2022-09-21 X. Chen , T. Gehrmann , E. W. N. Glover , A. Huss , J. Mo

We discuss recent progress in the calculation of integrated antenna functions for final-state radiation at N$^3$LO in QCD. Antenna functions are directly extracted from physical matrix elements for the decay of a colour-singlet state into…

High Energy Physics - Phenomenology · Physics 2023-10-24 Matteo Marcoli