TVID

TVID: Three-loop Vacuum Integrals from Dispersion relations. TVID is a program for the numerical evaluation of general three-loop vacuum integrals with arbitrary masses. It consists of two parts. An algebraic module, implemented in Mathematica, performs the separation of the divergent pieces of the master integrals and identifies special cases. The numerical module, implemented in C, carries out the numerical integration of the finite pieces. In this note, the structure of the program is explained and a few usage examples are given.

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References in zbMATH (referenced in 3 articles )

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  1. Heinrich, Gudrun: Collider physics at the precision frontier (2021)
  2. Groote, S.; Körner, J. G.: Coordinate space calculation of two- and three-loop sunrise-type diagrams, elliptic functions and truncated Bessel integral identities (2019)
  3. Kniehl, Bernd A.; Pikelner, Andrey F.; Veretin, Oleg L.: Three-loop effective potential of general scalar theory via differential equations (2018)