• Reduze

  • Referenced in 82 articles [sw10354]
  • program for reducing Feynman integrals to master integrals employing a variant of Laporta’s reduction...
  • FIRE

  • Referenced in 72 articles [sw10355]
  • reduction of Feynman integrals to master integrals. It is based on a number of strategies...
  • MATAD

  • Referenced in 46 articles [sw00550]
  • small set of so-called master integrals. Furthermore the results for the master integrals...
  • FIRE5

  • Referenced in 51 articles [sw16781]
  • program performing Feynman integral reduction to master integrals. All previous versions used only Wolfram Mathematica...
  • AIR

  • Referenced in 33 articles [sw40028]
  • large systems of integrals to master integrals. The algorithm was first proposed by Laporta...
  • Fuchsia

  • Referenced in 20 articles [sw22363]
  • reducing differential equations for Feynman master integrals to epsilon form. Nature of problem: Feynman master ... integrals may be calculated from solutions of a linear system of differential equations with rational ... used to evaluate Feynman master integrals. Solution method: The solution method is based...
  • Forcer

  • Referenced in 26 articles [sw28330]
  • Feynman integrals into a set of master integrals and can be considered as a four...
  • epsilon

  • Referenced in 17 articles [sw22364]
  • find a canonical basis of master integrals. In 2013, Henn proposed a special basis ... certain class of master integrals, which are expressible in terms of iterated integrals. In this ... basis, the master integrals obey a differential equation, where the right hand side is proportional...
  • Kira

  • Referenced in 20 articles [sw34816]
  • theoretic calculations---to a set of master integrals. We extend existing approaches by using...
  • BOKASUN

  • Referenced in 9 articles [sw00084]
  • precise numerical program to calculate the Master Integrals of the two-loop sunrise diagrams ... fast and precise evaluation of the Master Integrals of the two-loop self-mass sunrise...
  • sunem

  • Referenced in 7 articles [sw10416]
  • loop sunrise graph master integrals in the equal mass case. We present a double precision ... fast numerical evaluation of the two Master Integrals (MIs) of the equal mass two-loop...
  • SHELL2

  • Referenced in 8 articles [sw16623]
  • dimension n in terms of one “master integral” and two simple integrals expressable in terms...
  • FiniteFlow

  • Referenced in 7 articles [sw41195]
  • integration-by-parts identities to master integrals or special functions, the computation of differential equations...
  • STR

  • Referenced in 6 articles [sw32183]
  • both identities for scalar and Yukawa type integrals. The package provides a graphical environment ... scalar two-loop kite master integral and a fermionic diagram appearing in the computation...
  • TVID

  • Referenced in 3 articles [sw26771]
  • numerical evaluation of general three-loop vacuum integrals with arbitrary masses. It consists ... divergent pieces of the master integrals and identifies special cases. The numerical module, implemented...
  • DREAM

  • Referenced in 3 articles [sw25782]
  • arbitrarily high precision computation of multiloop integrals within the DRA (Dimensional Recurrence & Analyticity) method ... with sectors having more than one master integral. Two nontrivial examples are presented: four-loop...
  • MultivariateResidues

  • Referenced in 3 articles [sw22362]
  • include applications to the extraction of master integral coefficients from maximal unitarity cuts, the construction...
  • Libra

  • Referenced in 3 articles [sw36230]
  • transformation of differential systems for multiloop integrals. We present a new package for Mathematica system ... asymptotics of the original master integrals, sufficient for fixing the boundary conditions...
  • CIRR

  • Referenced in 41 articles [sw12618]
  • integral (CIRR method). In this method, numerical integration along a circle that contains relatively small ... parallel, the presented method is suitable for master-worker programming models. Numerical experiments illustrate...
  • Mint

  • Referenced in 1 article [sw16342]
  • sector: Critical points and number of master integrals. We consider the question about the number ... master integrals for a multiloop Feynman diagram. We show that, for a given ... automatize the counting of the master integrals for the typical case, when all critical points...