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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

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

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 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

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

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

We describe the calculation of the next-to-next-to-leading order (NNLO) QCD corrections to three-jet production and related event shape observables in electron-positron annihilation. Infrared singularities due to double real radiation at…

High Energy Physics - Phenomenology · Physics 2008-12-30 A. Gehrmann-De Ridder , T. Gehrmann , E. W. N. Glover , G. Heinrich

We use the known soft and collinear limits of tree- and one-loop scattering amplitudes -- computed over a decade ago -- to explicitly construct a subtraction scheme for next-to-next-to-leading order (NNLO) computations. Our approach…

High Energy Physics - Phenomenology · Physics 2015-06-03 Radja Boughezal , Kirill Melnikov , Frank Petriello

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

I describe a subtraction scheme for the next-to-next-to-leading order calculation of single inclusive production at hadron colliders. Such processes include Drell-Yan, W^{+/-}, Z and Higgs Boson production. The key to such a calculation is…

High Energy Physics - Phenomenology · Physics 2009-11-10 William B. Kilgore

Nuclear attenuation of the two-hadron system is considered in the string model. The two-scale model and its improved version with two different choices of constituent formation time and sets of parameters obtained earlier for the single…

High Energy Physics - Phenomenology · Physics 2008-11-26 N. Akopov , L. Grigoryan , Z. Akopov

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…

In the current work an equation of state model with a first-order phase transition for astrophysical applications is presented. The model is based on a two-phase approach for quark-hadron phase transitions, which leads by construction to a…

Nuclear Theory · Physics 2021-01-26 Niels-Uwe F. Bastian

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 consider the double-soft limit of QCD amplitudes with two massive quarks in a back-to-back kinematics accompanied by two soft partons. We integrate analytically the respective double-soft eikonal functions over the phase space of the two…

High Energy Physics - Phenomenology · Physics 2020-08-26 Wojciech Bizon , Maximilian Delto

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 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 provide a general method to construct local infrared subtraction counterterms for unresolved radiative contributions to differential cross sections, to any order in perturbation theory. We start from the factorised structure of virtual…

High Energy Physics - Phenomenology · Physics 2018-12-26 Lorenzo Magnea , Ezio Maina , Giovanni Pelliccioli , Chiara Signorile-Signorile , Paolo Torrielli , Sandro Uccirati

We perform the integration of all iterated singly-unresolved subtraction terms, as defined in ref. [1], over the two-particle factorized phase space. We also sum over the unresolved parton flavours. The final result can be written as a…

High Energy Physics - Phenomenology · Physics 2011-05-10 Paolo Bolzoni , Gabor Somogyi , Zoltan Trocsanyi

We compute the first two moments of the final hadronic invariant mass in inclusive semileptonic B decay, in the presence of a cut on the charged lepton energy. These moments may be measured directly by experiments at the Upsilon(4S) using…

High Energy Physics - Phenomenology · Physics 2014-11-17 Adam F. Falk , Michael Luke