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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 propose a framework for the implementation of a subtraction formalism at NNLO in QCD, based on an observable- and process-independent cancellation of infrared singularities. As a first simple application, we present the calculation of…

High Energy Physics - Phenomenology · Physics 2009-11-10 S. Frixione , M. Grazzini

The antenna subtraction formalism allows to calculate QCD corrections to jet observables. Within this formalism, the subtraction terms are constructed using antenna functions describing all unresolved radiation between a pair of hard…

High Energy Physics - Phenomenology · Physics 2011-08-31 Radja Boughezal , Aude Gehrmann-De Ridder , Mathias Ritzmann

In this paper we firstly demonstrate step by step that the factorization hypothesis is valid at the next-to-leading order (NLO) for the exclusive process $\rho \gamma^{\star} \to \rho$ by employing the collinear factorization approach, and…

High Energy Physics - Phenomenology · Physics 2016-02-10 Ya-lan Zhang , Shan Cheng , Jun Hua , Zhen-jun Xiao

The theoretical description of photon production at particle colliders combines direct photon radiation and fragmentation processes, which can not be separated from each other for definitions of photon isolation used in experimental…

High Energy Physics - Phenomenology · Physics 2022-05-06 Thomas Gehrmann , Robin Schürmann

We extend the antenna subtraction method to include hadron fragmentation processes up to next-to-next-to-leading order (NNLO) in QCD in $e^+e^-$ collisions. To handle collinear singularities associated with the fragmentation process, we…

High Energy Physics - Phenomenology · Physics 2022-11-09 Thomas Gehrmann , Giovanni Stagnitto

A new method for local subtraction at next-to-next-to-leading order in QCD is sketched, attempting to conjugate the minimal counterterm structure arising from a sector partition of the radiation phase space with the simplifications…

High Energy Physics - Phenomenology · Physics 2018-07-25 Lorenzo Magnea , Ezio Maina , Paolo Torrielli , Sandro Uccirati

A general subtraction scheme, STRIPPER (SecToR Improved Phase sPacE for real Radiation), is derived for the evaluation of next-to-next-to-leading order (NNLO) QCD contributions from double-real radiation to processes with at least two…

High Energy Physics - Phenomenology · Physics 2011-01-06 M. Czakon

We describe the antenna subtraction method for treating real emission singularities in the calculation of jet observables at NNLO accuracy, in particular in view of the computation $e^+e^- \to 3$ jets at NNLO.

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

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

We compare results of $2 \to 1$ $k_t$-factorization approach with Kwieci\'nski unintegrated parton distributions and the standard collinear factorization approach at RHIC and slightly smaller energies. Our approach contains only one free…

Nuclear Theory · Physics 2016-09-08 Marta Czech , Antoni Szczurek

Hard scattering in a strongly absorptive regime requires a novel nonlinear k_t -- factorization. Here we discuss two recent developments: firstly the evaluation of radiative corrections to single particle spectra, and secondly an extension…

High Energy Physics - Phenomenology · Physics 2008-11-26 W. Schäfer

We calculate next-to-leading-order (NLO) corrections to exclusive processes in $k_T$ factorization theorem, taking $\pi\gamma^*\to\gamma$ as an example. Partons off-shell by $k_T^2$ are considered in both the quark diagrams from full QCD…

High Energy Physics - Phenomenology · Physics 2008-11-26 Soumitra Nandi , Hsiang-nan Li

We exhibit a method for simultaneously treating recoil and threshold corrections in single-photon inclusive cross sections, working within the formalism of collinear factorization. This approach conserves both the energy and transverse…

High Energy Physics - Phenomenology · Physics 2008-11-26 Eric Laenen , George Sterman , Werner Vogelsang

We report on our recent progress towards including the photon fragmentation contribution in next-to-next-to-leading order (NNLO) QCD predictions for photon production cross sections. This extension to previous NNLO calculations requires the…

High Energy Physics - Phenomenology · Physics 2021-10-07 Thomas Gehrmann , Robin Schürmann

In this contribution I will review recent developments in the antenna subtraction method for higher-order calculations in QCD. In particular, I will illustrate the definition and applications of generalised antenna functions for final-state…

High Energy Physics - Phenomenology · Physics 2026-03-09 Matteo Marcoli

The antenna subtraction method has been successfully applied to a wide range of processes relevant for the Large Hadron Collider at next-to-next-to-leading order in $\alpha_s$ (NNLO). We propose an algorithm for building antenna functions…

High Energy Physics - Phenomenology · Physics 2024-12-06 Oscar Braun-White , Nigel Glover , Christian T Preuss

The antenna subtraction method developed originally for the computation of higher order corrections to jet observables from a colourless initial state is extended for hadron collider processes involving a pair of massive particles and jets…

High Energy Physics - Phenomenology · Physics 2015-03-18 Gabriel Abelof , Aude Gehrmann-De Ridder

In this talk, we discuss the speed-up of numerical calculations of jet observables by replacing the usual sum over all helicity amplitudes with an integral over a parametrisation for the parton polarisations called random polarisations.…

High Energy Physics - Phenomenology · Physics 2013-11-25 Daniel Goetz , Christopher Schwan , Stefan Weinzierl

We present a general subtraction scheme for NNLO calculations in massless QCD: the \textit{colourful antenna subtraction method}. It is a reformulation of the antenna subtraction approach designed to address some of the limitations of the…

High Energy Physics - Phenomenology · Physics 2024-12-06 T. Gehrmann , E. W. N. Glover , M. Marcoli