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Precision studies of QCD at electron-positron colliders are based on measurements of event shapes and jet rates. To match the high experimental accuracy, theoretical predictions to next-to-next-to-leading order (NNLO) in QCD are needed for…

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

We present a new implementation of the NNLO QCD corrections to three-jet final states and related event-shape observables in electron--positron annihilation. Our implementation is based on the antenna subtraction method, and is performed in…

High Energy Physics - Phenomenology · Physics 2017-12-06 Thomas Gehrmann , Nigel Glover , Alexander Huss , Jan Niehues , Hantian Zhang

We discuss an alternative subtraction scheme for NLO QCD calculations, which is based on the splitting kernels of an improved parton shower. As an example, we show results for the C parameter of the process e+ e- to 3 jets at NLO used for…

High Energy Physics - Phenomenology · Physics 2015-12-15 Tania Robens

The main theoretical tool to provide precise predictions for scattering cross sections of strongly interacting particles is perturbative QCD. Starting at next-to-leading order (NLO) the calculation suffers from unphysical IR-divergences…

High Energy Physics - Phenomenology · Physics 2014-10-13 David Heymes

We present a new algorithm to construct a purely four dimensional representation of higher-order perturbative corrections to physical cross-sections at next-to-leading order (NLO). The algorithm is based on the loop-tree duality (LTD), and…

High Energy Physics - Phenomenology · Physics 2016-09-12 German F. R. Sborlini , Felix Driencourt-Mangin , Roger Hernandez-Pinto , German Rodrigo

We review standard subtraction, as a method to compute cross sections at NNLO accuracy.

High Energy Physics - Phenomenology · Physics 2009-11-11 Vittorio Del Duca , Gabor Somogyi , Zoltan Trocsanyi

We discuss the motivation for making predictions for jet cross sections at next-to-next-to-leading order. We describe the theoretical ingredients needed for such a calculation and briefly review the progress in the field.

High Energy Physics - Phenomenology · Physics 2007-05-23 E. W. N. Glover

We use the Local Analytic Sector Subtraction scheme to construct a completely analytic set of expressions implementing a fully local infrared subtraction at NNLO for generic coloured massless final states. The cancellation of all explicit…

Real and virtual corrections in NNLO QCD require multi-dimensional integrals with overlapping singularities. We first review ideas and methods which have been proposed for performing such computations. We then present a new method for the…

High Energy Physics - Phenomenology · Physics 2011-03-18 Charalampos Anastasiou , Franz Herzog , Achilleas Lazopoulos

We consider dijet production in $e^+e^-$ collisions and in $H\to b{\bar b}$ decays at next-to-next-to-leading order (NNLO) in perturbative QCD. A new non-local subtraction scheme is applied, for the first time, to obtain the fully…

High Energy Physics - Phenomenology · Physics 2025-12-04 Luca Buonocore , Massimiliano Grazzini , Flavio Guadagni , Jürg Haag , Stefan Kallweit , Luca Rottoli

We consider the infrared structure of hadron-hadron collisions at next-to-next-to leading order using the antenna subtraction method. The general form of the subtraction terms is presented for double real, real-virtual and double virtual…

High Energy Physics - Phenomenology · Physics 2015-06-12 James Currie , E. W. N. Glover , Steven Wells

In this paper we present the parton level Monte Carlo program TeVJet, a direct implementation of the dipole subtraction method for calculating jet cross sections in NLO QCD. It has been written so as to allow the inclusion of new processes…

High Energy Physics - Phenomenology · Physics 2008-03-17 Michael H. Seymour , Christopher Tevlin

I illustrate a general formalism based upon the subtraction method for the calculation of next-to-leading order QCD cross sections for any number of jets in any type of hard collisions. I discuss the implementation of this formalism in a…

High Energy Physics - Phenomenology · Physics 2009-10-30 S. Frixione

We discuss an algorithm for the numerical evaluation of NLO multiparton processes. We focus hereby on the virtual part of the NLO calculation, i.e. on evaluating the one-loop integration numerically. We employ and extend the ideas of the…

High Energy Physics - Phenomenology · Physics 2012-09-14 S. Becker , D. Goetz , C. Reuschle , C. Schwan , S. Weinzierl

Heading towards a full automation of next-to-leading order (NLO) QCD corrections, one important ingredient is the analytical integration over the one-particle phase space of the unresolved particle that is necessary when adding the…

High Energy Physics - Phenomenology · Physics 2015-03-14 Rikkert Frederix , Thomas Gehrmann , Nicolas Greiner

We present the colourful antenna subtraction method, a reformulation of the antenna subtraction scheme for next-to-next-to-leading order (NNLO) calculations in QCD. The aim of this new approach is to achieve a general and…

High Energy Physics - Phenomenology · Physics 2022-03-28 Xuan Chen , Thomas Gehrmann , Nigel Glover , Alexander Huss , Matteo Marcoli

In this talk we present the calculation of next-to-next-to-leading order (NNLO) QCD corrections to dijet production and related observables at hadron colliders in the purely gluonic channel. Results for this channel are obtained keeping all…

High Energy Physics - Phenomenology · Physics 2013-12-20 James Currie , Aude Gehrmann-De Ridder , Thomas Gehrmann , E. W. N. Glover , Joao Pires

We describe the calculation of integrated subtraction terms in the nested soft-collinear subtraction scheme for hadron collider processes with quarks and gluons, thereby extending the results presented in Ref.$~$[1]. Although this extension…

High Energy Physics - Phenomenology · Physics 2025-03-20 Federica Devoto , Kirill Melnikov , Raoul Röntsch , Chiara Signorile-Signorile , Davide Maria Tagliabue , Matteo Tresoldi

A method based on sector decomposition is briefly described which is suitable for the calculation of the double real radiation part of e^+e^- to 3 jets at next-to-next-to-leading order in a fully differential way.

High Energy Physics - Phenomenology · Physics 2009-11-11 G. Heinrich

We introduce a subtraction method for jet cross sections at next-to-next-to-leading order (NNLO) accuracy in the strong coupling and use it to compute event shapes in three-jet production in electron-positron collisions. We validate our…

High Energy Physics - Phenomenology · Physics 2016-10-12 Vittorio Del Duca , Claude Duhr , Adam Kardos , Gábor Somogyi , Zoltán Trócsányi