Presenting LiteRed: a tool for the Loop InTEgrals REDuction

By R. N. Lee. 2012

434 citations recorded by the source corpus.

Mathematica package LiteRed is described. It performs the heuristic search of the symbolic IBP reduction rules for loop integrals. It implements also several convenient tools for the search of the symmetry relations, construction of the differential equations and dimensional recurrence relations.

Subfields: Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/51e1f248d6772663d63a90ca5a1643b057e81523

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In Geometry and Topology

Citations in the corpus

Collider physics at the precision frontier (2020, methodology): “ell as Lorentz invariance (LI) identities [430] as described above. Public implementations of the Laporta algorithm are available in the programs Air [458], Reduze [459, 421], Fire [460{462], LiteRed [463, 464] and Kira [432, 465, 466]. These automated tools have been vital for the progress in the c”
Reducing differential equations for multiloop master integrals (2014, methodology): “us demonstrate in some details how our method works for the master integrals in the topology shown in Fig. 1. There are 28 master integrals shown in Fig. 2. We use an experimental version of LiteRed, [30, 31], for the IBP reduction. Unfortunately, due to the complexity of the IBP reduction, we have ”
New developments in FeynCalc 9.0 (2016, methodology): “Although FeynCalc doesn’t include a general purpose tool for IBP reduction (the built-in TARCER [45] is suitable only for 2-loop self-energy type integrals), this omission can be compensated by using one of the publicly available IBP-packages (FIRE [39], LiteRED [46], Reduze [47], AIR [48]).”
Lectures on differential equations for Feynman integrals (2014, neutral): “Various implementations exist, see [19–22].”
Kira - A Feynman integral reduction program (2017, background): “l. It is thus convenient to deﬁne r = Xt i=1 r i and s= − XN−t i=1 s i. (11) 6 Identiﬁcationof trivial sectors: Withindimensionalregularization,scalelessintegralsare consistently set to zero. In Ref. [38] it is shown that if the corner integral of a given sector is zero, all other integrals in this ”
FIRE5: A C++ implementation of Feynman Integral REduction (2014, methodology): “LiteRed is a program by Lee [9, 10, 11] that aimes on solving the IBP relations before the substitution of indices.”
FeynCalc 9.3: New features and improvements (2020, methodology): “The list of symbols to be renamed must be speciﬁed as a list of replacement rules assigned to the global variable $RenameFeynCalcObjects. For example, suppose that we want to use FEYNCALC and LITERED [27,28], a wellknown toolkit for multiloop calculations, on the same kernel. Normally, this leads to”
FIRE6: Feynman Integral REduction with modular arithmetic (2019, methodology): “Lee in his program LiteRed [14, 15, 16].”