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- Christian Bauer, Alexander Frink, Richard Kreckel
- J. Symb. Comput.
- 2002

The traditional split-up into a low level language and a high level language in the design of computer algebra systems may become obsolete with the advent of more versatile computer languages. We describe GiNaC, a special-purpose system that deliberately denies the need for such a distinction. It is entirely written in C++ and the user can interact with it… (More)

- A Frink, J G Körner, J B Tausk
- 1997

We present an overview of the research activities of the theoretical particle physics group at the University of Mainz on the calculation of massive oneand two-loop Feynman diagrams. The main objective of this research was to develop an automatic oneand two-loop calculation program package. A first version of such a program was recently realized by Brücher,… (More)

We calculate the two-loop vertex function for the crossed topology, and for arbitrary masses and external momenta. We derive a double integral representation, suitable for a numerical evaluation by a Gaussian quadrature. Real and imaginary parts of the diagram can be calculated separately. PACS numbers: 02.70.+d, 12.38.Bx, 11.20.Dj 1 email:… (More)

GiNaC is a free framework that embeds symbolic manipulation consistently into the C++ programming language. It deliberately neglects the split-up into a low level language and a high level language, traditional in the design of computer algebra systems. The user usually interacts with GiNaC directly in C++. GiNaC was designed to provide efficient handling… (More)

- A. Frink
- 1996

The Standard-Model Higgs boson with mass MH ≫ 2MZ decays almost exclusively to pairs of W and Z bosons. We calculate the dominant two-loop corrections, of O(GFM 4 H), to the partial widths of these decays. In the on-mass-shell renormalization scheme, the correction factor is found to be 1 + 14.6%(MH/TeV) 2 + 16.9%(MH/TeV) 4, where the second term is the… (More)

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