✦ LIBER ✦

Computation of Gröbner bases for two-loop propagator type integrals

✍ Scribed by O.V. Tarasov

Publisher: Elsevier Science
Year: 2004
Tongue: English
Weight: 192 KB
Volume: 534
Category: Article
ISSN: 0168-9002
DOI: 10.1016/j.nima.2004.07.104

No coin nor oath required. For personal study only.

✦ Synopsis

The Gro¨bner basis technique for calculating Feynman diagrams proposed in (Acta Phys. Pol. B 29(1998) 2655) is applied to the two-loop propagator type integrals with arbitrary masses and momentum. We describe the derivation of Gro¨bner bases for all integrals with 1PI topologies and present explicit content of the Gro¨bner bases.

📜 SIMILAR VOLUMES

TARCER — A mathematica program for the r

TARCER — A mathematica program for the reduction of two-loop propagator integrals

✍ R. Mertig; R. Scharf 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 472 KB

## Nature of physical problem Reduction of Feynman integrals in petturbative two-loop calculations. ## Method of solution The system of recurrence relations given by Tarasov [ 1 ]. ## Limitations Rank of integrals.