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Related papers: Numerical evaluation of NLO multiparton processes

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We revisit the idea of numerically integrating the differential form of Feynman integrals. With a novel approach for the treatment of branch cuts, we develop an integrator capable of evaluating a basis of master integrals in double and…

High Energy Physics - Phenomenology · Physics 2026-03-06 Pau Petit Rosàs

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

NLO scattering amplitudes are provided by fully automated numerical tools, such as OpenLoops, for a very wide range of processes. In order to match the numerical precision of current and future collider experiments, the higher precision of…

High Energy Physics - Phenomenology · Physics 2022-07-18 Stefano Pozzorini , Natalie Schär , Max F. Zoller

We present a local subtraction scheme that enables the combined integration of loop momenta and the final-state parton phase space in real-virtual NNLO QCD corrections to cross sections for hadroproduction of electroweak and other colorless…

High Energy Physics - Phenomenology · Physics 2026-02-02 Charalampos Anastasiou , Julia Karlen , Yao Ma , George Sterman

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 present a novel subtraction method to remove the soft and collinear divergences at next-to-leading order for processes involving an arbitrary number of fragmentation functions, where this method acts directly in the hadronic…

High Energy Physics - Phenomenology · Physics 2024-03-22 M. S. Zidi , J. Ph. Guillet , I. Schienbein , H. Zaraket

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

So far, the use of different variants of dimensional regularization has been investigated extensively for two-loop virtual corrections. We extend these studies to real corrections that are also required for a complete computation of…

High Energy Physics - Phenomenology · Physics 2020-04-22 Christoph Gnendiger , Adrian Signer

The advent of efficient numerical algorithms for the construction of one-loop amplitudes has played a crucial role in the automation of NLO calculations, and the development of similar algorithms at two loops is a natural strategy for NNLO…

High Energy Physics - Phenomenology · Physics 2020-06-24 Stefano Pozzorini , Hantian Zhang , Max F. Zoller

One- and two-jet inclusive quantities in hadron collisions have already been calculated to next-to-leading order accuracy, using both the subtraction and the cone method. Since the one-loop corrections have recently been obtained for all…

High Energy Physics - Phenomenology · Physics 2009-10-28 S. Frixione , Z. Kunszt , A. Signer

Higher-order radiative corrections play an important role in precision studies of the electroweak and Higgs sector, as well as for the detailed understanding of large backgrounds to new physics searches. For corrections beyond the one-loop…

High Energy Physics - Phenomenology · Physics 2016-08-16 Ayres Freitas

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 present a new general algorithm for calculating arbitrary jet cross sections in arbitrary scattering processes to next-to-leading accuracy in perturbative QCD. The algorithm is based on the subtraction method. The key ingredients are new…

High Energy Physics - Phenomenology · Physics 2009-10-28 Stefano Catani , Michael H. Seymour

OneLOop is a program to evaluate the one-loop scalar 1-point, 2-point, 3-point and 4-point functions, for all kinematical configurations relevant for collider-physics, and for any non-positive imaginary parts of the internal squared masses.…

High Energy Physics - Phenomenology · Physics 2011-08-04 A. van Hameren

We use the antenna subtraction method to isolate the double virtual infrared singularities present in gluonic scattering amplitudes at next-to-next-to-leading order. In previous papers, we derived the subtraction terms that rendered (a) the…

High Energy Physics - Phenomenology · Physics 2015-06-12 Aude Gehrmann-De Ridder , Thomas Gehrmann , E. W. N. Glover , Joao Pires

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

We present methods for the numerical evaluation of the master integrals that appear in the calculation of scattering amplitudes at higher order in perturbative quantum field theory. We follow the general strategy of solving first-order…

High Energy Physics - Phenomenology · Physics 2025-01-06 Renato Maria Prisco , Jonathan Ronca , Francesco Tramontano

We present a new method to compute the soft function for the $N$-Jettiness variable for arbitrary $N$ at high perturbative orders in QCD. It is based on the observation that the most singular part of the soft function, the dipole…

High Energy Physics - Phenomenology · Physics 2026-04-16 Luca Buonocore , Maximilian Delto , Kirill Melnikov , Pier Francesco Monni , Andrey Pikelner , Gherardo Vita

Loop calculations involve the evaluation of divergent integrals. Usually [1] one computes them in a number of dimensions different than four where the integral is convergent and then one performs the analytical continuation and considers…

High Energy Physics - Phenomenology · Physics 2009-10-31 Francesco Caravaglios

The antenna subtraction method handles real radiation contributions in higher order corrections to jet observables. The method is based on antenna functions, which encapsulate all unresolved radiation between a pair of hard radiator…

High Energy Physics - Phenomenology · Physics 2015-05-28 Thomas Gehrmann , Pier Francesco Monni
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