TARCER -- a Mathematica program for the reduction of two-loop propagator integrals

DOI10.1016/S0010-4655(98)00042-3zbMath0938.81512arXivhep-ph/9801383WikidataQ127570932 ScholiaQ127570932MaRDI QIDQ1299717

V. Pereyra

Publication date: 25 October 1999

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-ph/9801383

zbMATH Keywords

recurrence algorithm two-loop corrections Feyman integrals

Mathematics Subject Classification ID

Computational methods for problems pertaining to quantum theory (81-08) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Numerical quadrature and cubature formulas (65D32)

Related Items (20)

INTEGRATION BY PARTS: AN INTRODUCTION ⋮ Two-loop renormalization of the magnetic coupling and non-perturbative sector in hot QCD ⋮ New developments in FeynCalc 9.0 ⋮ Feyncalc 9.3: new features and improvements ⋮ The lightest Higgs boson mass of the MSSM at three-loop accuracy ⋮ FMFT: fully massive four-loop tadpoles ⋮ Numerical evaluation of the general massive 2-loop 4-denominator self-mass master integral from differential equations ⋮ On the quantitative impact of the Schechter-Valle theorem ⋮ Two-loop QED operator matrix elements with massive external fermion lines ⋮ Generalized hypergeometric functions and the evaluation of scalar one-loop integrals in Feynman diagrams ⋮ Subleading logarithmic QED initial state corrections to \(e^+ e^- \to \gamma^\ast / Z^{0^\ast}\) to \(O(\alpha^6 L^5)\) ⋮ FeynHelpers: connecting feyncalc to FIRE and package-X ⋮ The ultraviolet limit and sum rule for the shear correlator in hot Yang-Mills theory ⋮ TSIL: a program for the calculation of two-loop self-energy integrals ⋮ Hypergeometric representation of the two-loop equal mass sunrise diagram ⋮ Four loop \(\overline{\mathbf {MS}}\) mass anomalous dimension in the Gross-Neveu model ⋮ TARCER ⋮ Landau-Khalatnikov-Fradkin transformations for the two loop massless quark propagator ⋮ Two-loop application of the Breitenlohner-Maison/'t Hooft-Veltman scheme with non-anticommuting \(\gamma_5\): full renormalization and symmetry-restoring counterterms in an abelian chiral gauge theory ⋮ Integration-by-Parts: A Survey

Uses Software

Cites Work

Connection between Feynman integrals having different values of the space-time dimension

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