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We describe a new method of calculation of generic multi-loop master integrals based on the numerical solution of systems of difference equations in one variable. We show algorithms for the construction of the systems using…

High Energy Physics - Phenomenology · Physics 2009-07-09 S. Laporta

Starting from the parametric representation of a Feynman diagram, we obtain it's well defined value in dimensional regularisation by changing the integrals over parameters into contour integrals. That way we eventually arrive at a…

High Energy Physics - Phenomenology · Physics 2007-05-23 K. Knecht , H. Verschelde

In this paper we describe the present status and our plans for the realization of next phases of the CalcPHEP project aimed at the theoretical support of experiments at modern and future accelerators: TEVATRON, LHC, electron Linear…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. Bardin , G. Passarino , L. Kalinovskaya , P. Christova , A. Andonov , S. Bondarenko , G. Nanava

We study totally acyclic complexes of projective modules over triangular matrix rings and then use it to classify Gorenstein projective modules over such rings. We also use this classification to obtain some information concerning…

Representation Theory · Mathematics 2014-02-20 Hossein Eshraghi , Rasool Hafezi , Shokrollah Salarian , Z. W. Li

A Hollow Electron Lens (HEL) has been proposed in order to improve performance of halo control and collimation in the Large Hadron Collider in view of its High Luminosity upgrade (HL-LHC). The concept is based on a beam of electrons that…

Accelerator Physics · Physics 2017-02-02 Diego Perini , Carlo Zanoni

We summarize results for the complete one-loop electroweak logarithmic corrections for general processes at high energies and fixed angles. Our results are applicable to arbitrary matrix elements that are not mass-suppressed. We give…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ansgar Denner , Stefano Pozzorini

Given the current landscape in experimental high-energy physics, these lectures are focused on applications of event generators for hadron colliders like the Tevatron and LHC. Section 2 contains a first overview of the physics picture and…

High Energy Physics - Phenomenology · Physics 2009-11-30 Torbjörn Sjöstrand

Computing the trajectories of particles in generic beamlines is an important ingredient of experimental particle physics, in particular regarding near-beam detectors. A new tool, Hector, has been built for such calculations, using the…

Accelerator Physics · Physics 2008-11-26 J. de Favereau de Jeneret , X. Rouby , K. Piotrzkowski

We extend the framework of analyzing the 2HDM in its orbit space to study the one-loop effective potential before and after electroweak symmetry breaking. In this framework, we present a comprehensive analysis of global symmetries of the…

High Energy Physics - Phenomenology · Physics 2024-03-05 Qing-Hong Cao , Kun Cheng , Changlong Xu

The computation of Feynman integrals is often the bottleneck of multi-loop calculations. We propose and implement a new method to efficiently evaluate such integrals in the physical region through the numerical integration of a suitable set…

High Energy Physics - Phenomenology · Physics 2019-05-01 Manoj K. Mandal , Xiaoran Zhao

A brief review of key recent developments and ongoing projects in perturbative QCD theory, with emphasis on conceptual advances that have the potential for impact on LHC studies. Topics covered include: twistors and new recursive…

High Energy Physics - Phenomenology · Physics 2009-11-11 Gavin P. Salam

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

Pair production of helicity-polarized weak bosons $(V_\lambda=W^\pm_\lambda, Z_\lambda)$ from gluon fusion $(gg\to V_\lambda V'_{\lambda'})$ and weak boson fusion $(V_1V_2\to V_\lambda V'_{\lambda'})$ are powerful probes of the Standard…

High Energy Physics - Phenomenology · Physics 2024-06-21 Martina Javurkova , Richard Ruiz , Rafael Coelho Lopes de Sá , Jay Sandesara

For certain dimensionally-regulated one-, two- and three-loop diagrams, problems of constructing the epsilon-expansion and the analytic continuation of the results are studied. In some examples, an arbitrary term of the epsilon-expansion…

High Energy Physics - Theory · Physics 2025-10-20 A. I. Davydychev , M. Yu. Kalmykov

An algorithm for the reduction of massive Feynman integrals with any number of loops and external momenta to a minimal set of basic integrals is proposed. The method is based on the new algorithm for evaluating tensor integrals,…

High Energy Physics - Phenomenology · Physics 2011-03-17 O. V. Tarasov

We introduce a symbolic method for the evaluation of definite integrals containing combinations of various functions, including exponentials, logarithm and products of Bessel functions of different types. The method we develop is naturally…

Classical Analysis and ODEs · Mathematics 2011-11-04 D. Babusci , G. Dattoli

The LHCb experiment at the Large Hadron Collider (LHC) at CERN has successfully performed a large number of physics measurements during Runs 1 and 2 of the LHC. Monte Carlo simulation is key to the interpretation of these and future…

Instrumentation and Detectors · Physics 2025-11-05 Michal Mazurek , Gloria Corti , Dominik Muller

We present the version 2.0 of the program GoSam, which is a public program package to compute one-loop corrections to multi-particle processes. The extended version of the "Binoth-Les-Houches-Accord" interface to Monte Carlo programs is…

In this thesis, major developments in the publicly available program SecDec are presented, extending the numerical evaluation of multi-loop multi-scale integrals from Euclidean to physical kinematics. The power of this new feature is shown…

High Energy Physics - Phenomenology · Physics 2014-10-30 Sophia Borowka

We study the convergence time to equilibrium of the Metropolis dynamics for the Generalized Random Energy Model with an arbitrary number of hierarchical levels, a finite and reversible continuous-time Markov process, in terms of the…

Probability · Mathematics 2020-01-08 A. M. B. Nascimento , L. R. Fontes
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