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Related papers: Numerical evaluation of NLO multiparton processes

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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

Some methods for the numerical computation of two-loop non-infrared vertices are reviewed. A new method is also proposed and compared to the old ones. Finally, some preliminary results are presented, concerning the evaluation of the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Sandro Uccirati

Reference [1] introduces a method for computing numerically four-dimensional multi-loop integrals without performing an explicit analytic contour deformation around threshold singularities. In this paper, we extend such a technique to…

High Energy Physics - Phenomenology · Physics 2024-07-26 Roberto Pittau

We derive an analytic expression for the scalar one-loop pentagon and hexagon functions which is convenient for subsequent numerical integration. These functions are of relevance in the computation of next-to-leading order radiative…

High Energy Physics - Phenomenology · Physics 2013-12-02 T. Binoth , G. Heinrich , N. Kauer

We give an algorithm to compute $N$ steps of a convolution quadrature approximation to a continuous temporal convolution using only $O(N \log N)$ multiplications and $O(\log N)$ active memory. The method does not require evaluations of the…

Numerical Analysis · Mathematics 2011-11-10 Achim Schädle , María López-Fernández , Christian Lubich

Loop integration results have been obtained using numerical integration and extrapolation. An extrapolation to the limit is performed with respect to a parameter in the integrand which tends to zero. Results are given for a non-scalar…

High Energy Physics - Phenomenology · Physics 2009-11-10 E. de Doncker , Y. Shimizu , J. Fujimoto , F. Yuasa , K. Kaugars , L. Cucos , J. Van Voorst

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 consider improving POWHEG+MINLO simulations, so as to also render them NLO accurate in the description of observables receiving contributions from events with lower parton multiplicity than present in their underlying NLO calculation. On…

High Energy Physics - Phenomenology · Physics 2016-05-25 Rikkert Frederix , Keith Hamilton

There exist two groups of electron microscopy methods that are capable of providing three-dimensional (3D) structural information of an object, i.e., electron tomography and depth sectioning. Electron tomography is capable of resolving…

Materials Science · Physics 2024-05-28 Liangze Mao , Jizhe Cui , Rong Yu

We describe how the nested soft-collinear subtraction scheme [1] can be used to compute the next-to-next-to-leading order (NNLO) QCD corrections to the production of an arbitrary number of gluonic jets in hadron collisions. We show that the…

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

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

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

In this talk we describe a procedure for isolating the infrared singularities present in gluonic scattering amplitudes at next-to-next-to-leading order. We use the antenna subtraction framework which has been successfully applied to the…

High Energy Physics - Phenomenology · Physics 2010-01-27 Joao Pires , E. W. N. Glover

We consider one-loop scalar and tensor integrals with an arbitrary number of external legs relevant for multi-parton processes in massless theories. We present a procedure to reduce N-point scalar functions with generic 4-dimensional…

High Energy Physics - Phenomenology · Physics 2010-04-06 T. Binoth , J. Ph. Guillet , G. Heinrich

We present the calculation for single-inclusive jet production in (longitudinally) polarized deep-inelastic lepton-nucleon scattering at next-to-next-to leading order (NNLO) accuracy, based on the Projection-to-Born method. As a necessary…

High Energy Physics - Phenomenology · Physics 2021-01-13 Ignacio Borsa , Daniel de Florian , Iván Pedron

We study the production of an isolated large p_T photon as well as the production of an isolated prompt photon plus a jet in e^+e^- collisions. Our results are obtained by a NLO Monte Carlo program of partonic event generator type. We…

High Energy Physics - Phenomenology · Physics 2011-09-13 M. Fontannaz , J. Ph. Guillet , G. Heinrich

The virtuality-dependent beam function is a universal ingredient in the resummation for observables probing the virtuality of incoming partons, including N-jettiness and beam thrust. We compute the gluon beam function at two-loop order.…

High Energy Physics - Phenomenology · Physics 2015-06-19 Jonathan Gaunt , Maximilian Stahlhofen , Frank J. Tackmann

Within the framework of local analytic sector subtraction, we present the full analytic integration of double-real and real-virtual local infrared counterterms that enter NNLO QCD computations with any number of massless final-state…

High Energy Physics - Phenomenology · Physics 2022-01-17 Lorenzo Magnea , Giovanni Pelliccioli , Chiara Signorile-Signorile , Paolo Torrielli , Sandro Uccirati

This article is the third and last of a series presenting an alternative method to compute the one-loop scalar integrals. It extends the results of first two articles to the infrared divergent case. This novel method enjoys a couple of…

High Energy Physics - Phenomenology · Physics 2020-02-26 J. Ph. Guillet , E. Pilon , Y. Shimizu , M. S. Zidi

We discuss the next-to-next-to-leading order (NNLO) QCD corrections to Z boson production in association with a jet including all partonic channels at all color levels and including the leptonic decay of the Z boson. We focus on the…

High Energy Physics - Phenomenology · Physics 2016-05-12 A. Gehrmann-De Ridder , T. Gehrmann , E. W. N. Glover , A. Huss , T. A. Morgan