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Related papers: Subtraction terms for one-loop amplitudes with one…

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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

Within the framework of local analytic sector subtraction, we present the subtraction of next-to-leading-order QCD singularities for processes featuring massless coloured particles in the initial as well as in the final state. The features…

High Energy Physics - Phenomenology · Physics 2022-12-28 Gloria Bertolotti , Paolo Torrielli , Sandro Uccirati , Marco Zaro

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 present the contributions from all types of one-loop corrections to the scattering amplitude for the pair production of polarized charginos or neutralinos from polarized electron-positron annihilation. The contributions are classified in…

High Energy Physics - Phenomenology · Physics 2015-06-25 M. A. Diaz , D. A. Ross

We present a general subtraction method for computing radiative corrections to QCD jet cross sections at next-to-next-to-leading order accuracy. The steps needed to set up this subtraction scheme are the same as those used in…

High Energy Physics - Phenomenology · Physics 2009-11-13 Zoltan Trocsanyi , Gabor Somogyi

In this talk we present the extension of the antenna subtraction method to include initial states containing one hadron at NNLO. We sketch the requirements for the different necessary subtraction terms, and we explain how the antenna…

High Energy Physics - Phenomenology · Physics 2010-01-15 Alejandro Daleo , Aude Gehrmann-De Ridder , Thomas Gehrmann , Gionata Luisoni

We present a formalism for the calculation of multi-particle one-loop amplitudes, valid for an arbitrary number N of external legs, and for massive as well as massless particles. A new method for the tensor reduction is suggested which…

High Energy Physics - Phenomenology · Physics 2013-12-16 T. Binoth , J. Ph. Guillet , G. Heinrich , E. Pilon , C. Schubert

In this article we present a number of developments within the scheme of Local Analytic Sector Subtraction for infrared divergences in QCD. First, we extend the scheme to deal with next-to-leading-order (NLO) singularities related to…

High Energy Physics - Phenomenology · Physics 2025-03-24 Gloria Bertolotti , Giovanni Limatola , Paolo Torrielli , Sandro Uccirati

We discuss the structure of infrared and ultraviolet singularities in on-shell QCD and supersymmetric QCD amplitudes at one-loop order. Previous results, valid for massless partons, are extended to the case of massive partons. Using…

High Energy Physics - Phenomenology · Physics 2014-11-17 Stefano Catani , Stefan Dittmaier , Zoltan Trocsanyi

We examine the singular behavior from the endpoint region x -> 1 in parton distributions unintegrated in both longitudinal and transverse momenta. We identify and regularize the singularities by using the subtraction method, and compare…

High Energy Physics - Phenomenology · Physics 2008-11-26 F. Hautmann

The strong corrections to the R-ratio of electron-positron annihilation into hadrons are studied at the higher-loop levels. Specifically, the essentials of continuation of the spacelike perturbative results into the timelike domain are…

High Energy Physics - Phenomenology · Physics 2017-12-19 A. V. Nesterenko

In this talk I discuss the application and generalization of the antenna subtraction method to processes involving incoherent interferences of partial amplitudes, which are generically present for the sub-leading colour contributions to…

High Energy Physics - Phenomenology · Physics 2013-11-26 James Currie

We present a subtraction scheme for eliminating the ultraviolet, soft, and collinear divergences in the numerical calculation of an arbitrary one-loop QCD amplitude with an arbitrary number of external legs. The subtractions consist of…

High Energy Physics - Phenomenology · Physics 2009-11-10 Zoltan Nagy , Davison E. Soper

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

Feynman amplitudes at higher orders in perturbation theory generically have complex singular structures. Notwithstanding the emergence of many powerful new methods, the presence of infrared divergences poses significant challenges for their…

High Energy Physics - Phenomenology · Physics 2019-09-04 Charalampos Anastasiou , George Sterman

We use the solutions to the recursion relations for double-off-shell fermion currents to compute helicity amplitudes for $n$-photon scattering and electron-positron annihilation to photons in the massless limit of QED. The form of these…

High Energy Physics - Phenomenology · Physics 2009-10-22 Gregory Mahlon

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

One-loop amplitudes are to a large extent determined by their unitarity cuts in four dimensions. We show that the remaining rational terms can be obtained from the ultraviolet behaviour of the amplitude, and determine universal form factors…

High Energy Physics - Phenomenology · Physics 2010-10-27 T. Binoth , J. Ph. Guillet , G. Heinrich

We show how to extract the coefficients of the 4-, 3-, 2- and 1-point one-loop scalar integrals from the full one-loop amplitude of arbitrary scattering processes. In a similar fashion, also the rational terms can be derived. Basically no…

High Energy Physics - Phenomenology · Physics 2008-11-26 Giovanni Ossola , Costas G. Papadopoulos , Roberto Pittau

We extend the antenna subtraction method to include initial states containing one hadron at NNLO. We present results for all the necessary subtraction terms, antenna functions, for the master integrals required to integrate them over the…

High Energy Physics - Phenomenology · Physics 2015-05-14 A. Daleo , A. Gehrmann-De Ridder , T. Gehrmann , G. Luisoni