pith. machine review for the scientific record. sign in

arxiv: 1212.2685 · v1 · submitted 2012-12-12 · ✦ hep-ph

Recognition: unknown

Presenting LiteRed: a tool for the Loop InTEgrals REDuction

R. N. Lee

Authors on Pith no claims yet
classification ✦ hep-ph
keywords integralsliteredloopreductionrelationssearchconstructionconvenient
0
0 comments X
read the original 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.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 9 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. An Algorithm for the Symbolic Reduction of Multi-loop Feynman Integrals via Generating Functions

    hep-ph 2026-05 unverdicted novelty 7.0

    A new generating-function framework turns IBP relations into differential equations in a non-commutative algebra, yielding an iterative algorithm that derives symbolic reduction rules and checks completeness for topol...

  2. SIRENA -- Sum-Integral REductioN Algorithm

    hep-ph 2026-05 unverdicted novelty 7.0

    SIRENA automates IBP reduction of sum-integrals in finite-temperature QFT, reproduces known results to 3 loops, supplies new 3-loop fermionic reductions, and derives an analytic factorization formula for arbitrary 2-l...

  3. Tensor decomposition of $e^+e^-\to\pi^+\pi^-\gamma$ to higher orders in the dimensional regulator

    hep-ph 2026-04 unverdicted novelty 7.0

    First beyond-NLO tensor decomposition and higher-order analytic one-loop amplitudes for e+e- to pi+pi-gamma, paired with a fast numerical five-point integral evaluator.

  4. Feynman integral reduction by covariant differentiation

    hep-ph 2026-04 unverdicted novelty 7.0

    Covariant differentiation on the dual vector space spanned by master integrals reduces a large class of Feynman integrals to masters, with connections reusable across mass configurations.

  5. Discrete symmetries of Feynman integrals

    hep-th 2026-04 unverdicted novelty 7.0

    Discrete symmetries of Feynman integral families correspond to permutations of Feynman parameters and induce group actions on twisted cohomology whose characters are Euler characteristics of fixed-point sets, yielding...

  6. Factorization of denominators as a `fuel' for Feynman integral reduction

    hep-ph 2026-05 unverdicted novelty 6.0

    Algorithms that factor denominators in IBP coefficients inside the FUEL interface reduce reconstruction cost and improve robustness of large-scale Feynman integral reductions.

  7. Planar master integrals for two-loop NLO electroweak light-fermion contributions to $g g \rightarrow Z H$

    hep-ph 2026-04 unverdicted novelty 6.0

    Analytic expressions for the planar master integrals in two-loop NLO EW light-fermion contributions to gg → ZH are derived via canonical differential equations and expressed using Goncharov polylogarithms or one-fold ...

  8. Progress on the soft anomalous dimension in QCD

    hep-ph 2026-04 unverdicted novelty 6.0

    A lightcone-expansion strategy using Wilson-line correlators and the Method of Regions yields the three-loop soft anomalous dimension for QCD amplitudes with one massive colored particle and arbitrary massless ones.

  9. Three loop QCD corrections to electroweak radiative parameters

    hep-ph 2026-04 unverdicted novelty 4.0

    Three-loop QCD corrections to electroweak radiative parameters Δρ, Δr, and Δκ are computed, yielding an updated W boson mass prediction relevant for FCC precision targets.