Presenting LiteRed: a tool for the Loop InTEgrals REDuction

Abstract

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.

15 pages, 3 figures

References in corpus (2)

• Group structure of the integration-by-part identities and its application to the reduction of multiloop integrals
• Hypergeometric representation of the two-loop equal mass sunrise diagram

Cited by in corpus (21)

• FIRE5: a C++ implementation of Feynman Integral REduction
• Lectures on differential equations for Feynman integrals
• Two-loop planar master integrals for Higgs$\to 3$ partons with full heavy-quark mass dependence
• The 3-Loop Non-Singlet Heavy Flavor Contributions and Anomalous Dimensions for the Structure Function $F_2(x,Q^2)$ and Transversity
• The $n_f^2$ contributions to fermionic four-loop form factors
• Towards the exact Bremsstrahlung function of ABJM theory
• On the Casimir scaling violation in the cusp anomalous dimension at small angle
• Higgs amplitudes from $\mathcal{N}=4$ super Yang-Mills theory
• Analytic results for planar three-loop integrals for massive form factors
• Calculation of two-loop QCD corrections for hadronic single top-quark production in the t channel
• The diamond rule for multi-loop Feynman diagrams
• Forcer: a FORM program for 4-loop massless propagators
• Two-Loop QCD Correction to massive spin-2 resonance $\to$ 3 gluons
• Three loop form factors of a massive spin-2 particle with nonuniversal coupling
• Fuchsia and master integrals for splitting functions from differential equations in QCD
• FORM, Diagrams and Topologies
• Higher Order Heavy Quark Corrections to Deep-Inelastic Scattering
• Toolbox for multiloop Feynman diagrams calculations using $R^{\ast }$ operation
• Half-BPS half-BPS twist two at four loops in N=4 SYM
• Multi-loop calculations: numerical methods and applications
• The canonical form has got baubles