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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

Jet cross sections in deeply inelastic scattering in the case of transverse photon exchange for the production of (1+1) and (2+1) jets are calculated in next-to-leading order QCD (here the `+1' stands for the target remnant jet, which is…

High Energy Physics - Phenomenology · Physics 2009-10-22 Dirk Graudenz

We compute the ratio of the inclusive jet cross-sections obtained with the same jet algorithm at two different values of the jet radius. We perform a computation of that observable at NLO (O(alphas^2)) in perturbative QCD and compute…

High Energy Physics - Phenomenology · Physics 2011-03-21 Gregory Soyez

We describe how to disentangle the singly- and doubly-unresolved (soft and/or collinear) limits of tree-level QCD squared matrix elements. Using the factorization formulae presented in this paper, we outline a viable general subtraction…

High Energy Physics - Phenomenology · Physics 2009-11-11 Gábor Somogyi , Zoltán Trócsányi , Vittorio Del Duca

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 compute the ${\cal O}(\alpha^2\alpha_s^2)$ perturbative corrections to inclusive jet production in electron-nucleon collisions. This process is of particular interest to the physics program of a future Electron Ion Collider (EIC). We…

High Energy Physics - Phenomenology · Physics 2016-10-28 Gabriel Abelof , Radja Boughezal , Xiaohui Liu , Frank Petriello

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 general purpose numerical program MERCUTIO, which can be used to calculate any infrared safe four-jet quantity in electron-positron annihilation at next-to-leading order. The program is based on the dipole formalism and…

High Energy Physics - Phenomenology · Physics 2008-11-26 Stefan Weinzierl , David A. Kosower

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 production of four jets in electron-positron annihilation allows for measuring the strong coupling and the underlying group structure of the strong interaction simultaneously. This requires next-to-leading order perturbative prediction…

High Energy Physics - Phenomenology · Physics 2014-11-17 Zoltán Nagy , Zoltán Trócsányi

We present a calculation of the differential two jet cross section in e^+e^- annihilation through next-to-next-to-leading order in the strong coupling constant alpha_s. The calculation is performed using a new method for dealing with real…

High Energy Physics - Phenomenology · Physics 2009-11-10 Charalampos Anastasiou , Kirill Melnikov , Frank Petriello

We present a new subtraction scheme for next-to-leading order QCD calculations, where the momentum mapping and the splitting functions have been derived in the context of an improved parton shower formulation. A main advantage of our scheme…

High Energy Physics - Phenomenology · Physics 2011-05-27 Tania Robens , Cheng Han Chung , Michael Kramer

In this article we illustrate how event weights for jet events can be calculated efficiently at next-to-leading order (NLO) accuracy in QCD. This is a crucial prerequisite for the application of the Matrix Element Method in NLO. We modify…

High Energy Physics - Phenomenology · Physics 2015-09-18 Till Martini , Peter Uwer

Modern collider phenomenology requires unprecedented precision for the theoretical predictions, for which slicing techniques provide an essential tool at next-to-next-to-leading order (NNLO) in the strong coupling. The most popular slicing…

High Energy Physics - Phenomenology · Physics 2025-10-23 Rong-Jun Fu , Rudi Rahn , Ding Yu Shao , Wouter J. Waalewijn , Bin Wu

We calculate the rate for $e^+e^-$ annihilation into four jets at next-to-leading order in perturbative QCD, but omitting terms that are suppressed by one or more powers of $1/\Nc^2$, where $\Nc$ is the number of colors. The…

High Energy Physics - Phenomenology · Physics 2010-11-15 A. Signer , L. Dixon

In this review, we present a new method for computing physical cross sections at NLO accuracy in QCD without using the standard Dimensional Regularisation. The algorithm is based on the Loop-Tree Duality theorem, which allow us to obtain…

High Energy Physics - Phenomenology · Physics 2016-11-23 R. J. Hernández-Pinto , F. Driencourt-Mangin , G. Rodrigo , G. F. R. Sborlini

We report on the analytic calculation of the second-order QCD corrections to semi-inclusive hadron production in electron-positron annihilation. The calculation of the single-particle inclusive cross-section in time-like kinematics is…

High Energy Physics - Phenomenology · Physics 2014-12-22 Alexander Mitov , Sven-Olaf Moch

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

We report on the calculation of NNLO corrections to the 3-jet cross section and related event shape distributions in electron-positron annihilation. The corrections are sizable for all variables, however the magnitude of the corrections is…

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

I review some aspects of antenna subtraction at next-to-next-to-leading order (NNLO) in QCD and provide motivation for its extension to N$^3$LO. Next, I introduce the antenna functions required for the construction of infrared counterterms…

High Energy Physics - Phenomenology · Physics 2024-07-23 Petr Jakubčík
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