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The goal of this paper is to present a new major release of the program FIESTA (Feynman Integral Evaluation by a Sector decomposiTion Approach). This version presents features like cluster-parallelization, new asymptotic expansion…

High Energy Physics - Phenomenology · Physics 2015-06-18 Alexander V. Smirnov

I briefly summarize the talks on calculation of multiloop Feynman diagrams presented at ACAT'2002 (Moscow University).

High Energy Physics - Phenomenology · Physics 2009-11-07 A. G. Grozin

A software for simplification of Dirac matrix polynomials that arise in particle physics problems is implemented.

High Energy Physics - Theory · Physics 2023-09-26 Sergii Kutnii

We perform an all-order analysis of double-logarithmic corrections to the so-called soft-overlap contribution to heavy-to-light transition form factors at large hadronic recoil. Specifically, we study $B_c \to \eta_c$ transitions within a…

High Energy Physics - Phenomenology · Physics 2025-09-17 Guido Bell , Philipp Böer , Thorsten Feldmann , Dennis Horstmann , Vladyslav Shtabovenko

This paper introduces the FermiFab toolbox for many-particle quantum systems. It is mainly concerned with the representation of (symbolic) fermionic wavefunctions and the calculation of corresponding reduced density matrices (RDMs). The…

Quantum Physics · Physics 2012-08-01 Christian B. Mendl

We present a Mathematica package AmpRed for the semi-automatic calculations of multi-loop Feynman amplitudes with high efficiency and precision. AmpRed implements the methods of integration by parts and differential equations in the…

High Energy Physics - Phenomenology · Physics 2025-04-14 Wen Chen

We present updates on the development of pySecDec, a toolbox to numerically evaluate parameter integrals in the context of dimensional regularization. We discuss difficulties with loop integrals in the special kinematic condition where the…

High Energy Physics - Phenomenology · Physics 2022-09-21 Stephan Jahn

We address the problem of evaluation of multiloop Feynman integrals by means of their Mellin-Barnes representation. After a brief overview of available capabilities though open source toolkits and their application in various circumstances,…

High Energy Physics - Phenomenology · Physics 2023-01-25 A. V. Belitsky , A. V. Smirnov , V. A. Smirnov

The reduction of Feynman integrals to a basis of master integrals plays a crucial role for many high-precision calculations and Kira is one of the leading tools for this task. In these proceedings we discuss some of the new features and…

High Energy Physics - Phenomenology · Physics 2024-07-02 Fabian Lange , Johann Usovitsch , Zihao Wu

This article introduces the Mathematica package \emph{HEPMath} which provides a number of utilities and algorithms for High Energy Physics computations in Mathematica. Its functionality is similar to packages like FormCalc or FeynCalc, but…

High Energy Physics - Phenomenology · Physics 2015-07-08 Martin Wiebusch

We present the toolbox for analytical calculation of UV-counterterm of Feynman diagrams. It combines the power of $R^{*\prime}$-operation with modern analytical methods. Written in pure Python our toolbox can be easily used and extended.

High Energy Physics - Theory · Physics 2014-11-12 Dmitrii Batkovich , Mikhail Kompaniets

We present the new version 2.0 of the Feynman integral reduction program Kira and describe the new features. The primary new feature is the reconstruction of the final coefficients in integration-by-parts reductions by means of finite field…

High Energy Physics - Phenomenology · Physics 2023-02-24 Jonas Klappert , Fabian Lange , Philipp Maierhöfer , Johann Usovitsch

This paper describes a package for calculations of expressions with Dirac matrixes. Advantages to existing similar packages are described. MatrixExp package is intended for simplification of complex expressions involving $\gamma$-matrixes,…

High Energy Physics - Phenomenology · Physics 2009-11-11 V. A. Poghosyan

The quarkonic contributions to the three-loop heavy-quark form factors for vector, axial-vector, scalar and pseudoscalar currents are described by closed form difference equations for the expansion coefficients in the limit of small…

High Energy Physics - Phenomenology · Physics 2023-07-07 Johannes Blümlein , Abilio De Freitas , Peter Marquard , Narayan Rana , Carsten Schneider

We review the Mathematica package LiteRed, version 1.4.

High Energy Physics - Phenomenology · Physics 2015-06-17 R. N Lee

We present a new program package for calculating one-loop Feynman integrals, based on a new method avoiding Feynman parametrization and the contraction due to Passarino and Veltman. The package is calculating one-, two- and three-point…

High Energy Physics - Phenomenology · Physics 2011-04-20 L. Brücher , J. Franzkowski , D. Kreimer

We introduce a novel structure for Feynman integrals, reformulating them as integrals over a small set of parameters with a fully controllable integrand. The integrand closely resembles one-loop Feynman integrals, and they are very easy to…

High Energy Physics - Phenomenology · Physics 2024-12-31 Li-Hong Huang , Rui-Jun Huang , Yan-Qing Ma

A survey is given on mathematical structures which emerge in multi-loop Feynman diagrams. These are multiply nested sums, and, associated to them by an inverse Mellin transform, specific iterated integrals. Both classes lead to sets of…

Mathematical Physics · Physics 2015-06-17 J Ablinger , J Blümlein , C Schneider

This paper reports on Matlab Channel Access (MCA) Toolbox Matlab [1] interface to Epics Channel Access (CA) client library. We are developing the toolbox for SPEAR3 accelerator controls but it is of general use for accelerator and…

Accelerator Physics · Physics 2007-05-23 Andrei Terebilo

The integration of differential equations of Feynman integrals can be greatly facilitated by using a canonical basis. This paper presents the Mathematica package CANONICA, which implements a recently developed algorithm to automatize the…

High Energy Physics - Phenomenology · Physics 2017-11-30 Christoph Meyer