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Related papers: Automated one-loop calculations with GoSam 2.0

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We discuss algebraic/numeric methods to compute one-loop corrections for multiparticle/jet production cross sections. By using efficient reduction algorithms a compact expression for the ggg\gamma\gamma -> 0 amplitude is obtained. Further a…

High Energy Physics - Phenomenology · Physics 2009-11-10 T. Binoth

An improved multi-summation approach is introduced and discussed that enables one to simultaneously handle indefinite nested sums and products in the setting of difference rings and holonomic sequences. Relevant mathematics is reviewed and…

Symbolic Computation · Computer Science 2017-10-31 Johannes Blümlein , Mark Round , Carsten Schneider

Using the parallel/orthogonal space method, we calculate the planar two-loop three-point diagram and two rotated reduced planar two-loop three-point diagrams. Together with the crossed topology, these diagrams are the most complicated ones…

High Energy Physics - Phenomenology · Physics 2009-01-07 Stefan Groote , Markus M. Knodel

We present an algorithmic framework for a variant of the quantum Monte Carlo operator-loop algorithm, where non-local cluster updates are constructed in a way that makes each individual loop smaller. The algorithm is designed to increase…

Statistical Mechanics · Physics 2016-09-08 Ying-Jer Kao , Roger G. Melko

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

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 describe the \POWHEGBOX{} package, a general computer code framework for implementing NLO calculations in Shower Monte Carlo programs according to the \POWHEG{} method.

High Energy Physics - Phenomenology · Physics 2010-09-14 Simone Alioli

In electroweak-boson production processes with a jet veto, higher-order corrections are enhanced by logarithms of the veto scale over the invariant mass of the boson system. In this paper, we resum these Sudakov logarithms at…

High Energy Physics - Phenomenology · Physics 2015-06-23 Thomas Becher , Rikkert Frederix , Matthias Neubert , Lorena Rothen

The current version of 'carlomat', a program for automatic computation of the lowest order cross sections of multiparticle reactions, is described. The program can be used as the Monte Carlo generator of unweighted events as well.

High Energy Physics - Phenomenology · Physics 2014-11-18 Karol Kolodziej

Monte Carlo simulations of diffusion processes often introduce bias in the final result, due to time discretization. Using an auxiliary Poisson process, it is possible to run simulations which are unbiased. In this article, we propose such…

Computational Finance · Quantitative Finance 2016-05-09 Louis Paulot

In Monte Carlo particle transport codes, it is often important to adjust reaction cross sections to reduce the variance of calculations of relatively rare events, in a technique known as non-analogous Monte Carlo. We present the theory and…

Computational Physics · Physics 2011-12-09 Marcus H. Mendenhall , Robert A. Weller

SecDec is a program which can be used for the evaluation of parametric integrals, in particular multi-loop integrals. For a given set of propagators defining the graph, the program constructs the graph polynomials, factorizes the endpoint…

High Energy Physics - Phenomenology · Physics 2014-11-05 Sophia Borowka , Gudrun Heinrich

We present two diagrammatic Monte Carlo methods for quantum systems coupled with harmonic baths, whose dynamics are described by integro-differential equations. The first approach can be considered as a reformulation of Dyson series, and…

Quantum Physics · Physics 2023-12-15 Zhenning Cai , Geshuo Wang , Siyao Yang

A formalism for the numerical integration of one- and two-loop integrals is presented. It is based on subtraction terms which remove the soft, collinear and some of the ultraviolet divergences from the integrand. The numerical integral is…

High Energy Physics - Phenomenology · Physics 2012-10-08 A. Freitas

Large scale calculation for the radiative corrections required for the current and future collider experiments can be done automatically using the GRACE-LOOP system. Here several results for e+e- --> 3-body processes are presented including…

High Energy Physics - Phenomenology · Physics 2009-11-10 F. Boudjema , J. Fujimoto , T. Ishikawa , T. Kaneko , K. Kato , Y. Kurihara , Y. Shimizu , S. Yamashita , Y. Yasui

We briefly sketch the methods for a numerically stable evaluation of tensor one-loop integrals that have been used in the calculation of the complete electroweak one-loop corrections to $\Pep\Pem\to4 $fermions. In particular, the…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Denner , S. Dittmaier

In this work we illustrate the POWHEG BOX, a general computer code framework for implementing NLO calculations in shower Monte Carlo programs according to the POWHEG method. Aim of this work is to provide an illustration of the needed…

High Energy Physics - Phenomenology · Physics 2014-11-20 Simone Alioli , Paolo Nason , Carlo Oleari , Emanuele Re

We consider two-loop corrections to $2\to 2$ scattering processes with massive particles in the final state and massive particles in the loop. We discuss the combination of analytic expansions in the high-energy limit and for small…

High Energy Physics - Phenomenology · Physics 2023-06-28 Joshua Davies , Go Mishima , Kay Schönwald , Matthias Steinhauser

We present a program for the numerical evaluation of form factors entering the calculation of one-loop amplitudes with up to six external legs. The program is written in Fortran95 and performs the reduction to a certain set of basis…

High Energy Physics - Phenomenology · Physics 2015-05-13 T. Binoth , J. -Ph. Guillet , G. Heinrich , E. Pilon , T. Reiter

NLOX is a computer program for calculations in high-energy particle physics. It provides fully renormalized scattering matrix elements in the Standard Model of particle physics, up to one-loop accuracy for all possible coupling-power…

High Energy Physics - Phenomenology · Physics 2019-01-01 Steve Honeywell , Seth Quackenbush , Laura Reina , Christian Reuschle