APart 2: A generalized Mathematica   Apart function

Published: 01-01-2016| Version 1 | DOI: 10.17632/5cm553yjvt.1
Contributor:
Feng Feng

Description

Abstract The Mathematica function Apart has been generalized to any dimension in APart package [1], we upgrade this package to the 2nd version, in which the core part has been completely rewritten. The new version is more efficient than the 1st version of APart, and the output is now more compact and more suitable for the input for the FIRE [2] or FIESTA [3]. Title of program: APart 2.0 Catalogue Id: AEMK_v2_0 Nature of problem As discussed in [1], the general procedure to compute a cross section for a physical process in perturbative quantum field theory involves generating the corresponding amplitude via Feynman diagram and performing the loop integrals in dimensional regularization [7]. The essential part in the computation is to reduce these loop integrals to a small number of standard integrals, which are called master integrals (MI), via the systematic methods of integration by parts (IBP) identities [8, 9] and L ... Versions of this program held in the CPC repository in Mendeley Data AEMK_v1_0; $Apart; 10.1016/j.cpc.2012.03.025 AEMK_v2_0; APart 2.0; 10.1016/j.cpc.2015.09.012 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)

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