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2017

TVID: Three-loop Vacuum Integrals from Dispersion relations

Bauberger, S., Freitas, A.

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Understand

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.

TVID: Three-loop Vacuum Integrals from Dispersion relations · Around

Built on

K. G. Chetyrkin and F. V. Tkachov, Nucl. Phys. B 192
1981
Earlier work this paper cites.
R. Piessens, E. de Doncker-Kapenga, C. W. Überhuber, D. K. Kahanger, “QUADPACK, A Subroutine Package for Automatic Integration, Springer,” Berlin (1983)
1983
Earlier work this paper cites.
S. Bauberger, F. A. Berends, M. Böhm and M. Buza, Nucl. Phys. B 434
1995
Earlier work this paper cites.

Similar

D. J. Broadhurst, Eur. Phys. J. C 8
1999
Cited alongside, same era.
K. G. Chetyrkin and M. Steinhauser, Nucl. Phys. B 573
2000
Cited alongside, same era.
D. J. Broadhurst, Z. Phys. C 54
2006
Cited alongside, same era.
K. Briggs, doubledouble version 2.2, boutell.com/fracster-src/doubledouble/doubledouble.html
Cited in the paper.
S. P. Martin and D. G. Robertson, arXiv:1610.07720 [hep-ph]
Original
Cited in the paper.

Then

J. Grigo, J. Hoff, P. Marquard and M. Steinhauser, Nucl. Phys. B 864
Original
2012
Later among the works it cites.
Wolfram Research, Inc., “Mathematica, Version 10.2,” Champaign, Illinois, USA (2015)
2015
Later among the works it cites.
A. Freitas, JHEP 1611
Original
2016
Later among the works it cites.

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