Algebraic reduction of one-loop Feynman graph amplitudes

Fleischer J, Jegerlehner F, Tarasov OV (2000)
NUCLEAR PHYSICS B 566(1-2): 423-440.

Journal Article | Published | English

No fulltext has been uploaded

Author
; ;
Abstract
An algorithm for the reduction of one-loop n-point tensor integrals to basic integrals is proposed. We transform tensor integrals to scalar integrals with shifted dimension [A.I. Davydychev, Phys. Lett. B 263 (1991) 107] and reduce these by recurrence relations to integrals in generic dimension [O.V. Tarasov, Phys. Rev. D 54 (1996) 6479]. Also the integration-by-parts method [F.V. Tkachov, Phys. Lett. B 100 (1981) 65; K.G. Chetyrkin, F.V. Tkachov, Nucl. Phys. B 192(1981) 159] is used to reduce indices (powers of scalar propagators) of the scalar diagrams. The obtained recurrence relations for one-loop integrals are explicitly evaluated for 5- and 6-point functions. in the latter case the corresponding Gram determinant vanishes identically for d = 4, which greatly simplifies the application of the recurrence relations. (C) 2000 Elsevier Science B.V. All rights reserved.
Publishing Year
ISSN
PUB-ID

Cite this

Fleischer J, Jegerlehner F, Tarasov OV. Algebraic reduction of one-loop Feynman graph amplitudes. NUCLEAR PHYSICS B. 2000;566(1-2):423-440.
Fleischer, J., Jegerlehner, F., & Tarasov, O. V. (2000). Algebraic reduction of one-loop Feynman graph amplitudes. NUCLEAR PHYSICS B, 566(1-2), 423-440.
Fleischer, J., Jegerlehner, F., and Tarasov, O. V. (2000). Algebraic reduction of one-loop Feynman graph amplitudes. NUCLEAR PHYSICS B 566, 423-440.
Fleischer, J., Jegerlehner, F., & Tarasov, O.V., 2000. Algebraic reduction of one-loop Feynman graph amplitudes. NUCLEAR PHYSICS B, 566(1-2), p 423-440.
J. Fleischer, F. Jegerlehner, and O.V. Tarasov, “Algebraic reduction of one-loop Feynman graph amplitudes”, NUCLEAR PHYSICS B, vol. 566, 2000, pp. 423-440.
Fleischer, J., Jegerlehner, F., Tarasov, O.V.: Algebraic reduction of one-loop Feynman graph amplitudes. NUCLEAR PHYSICS B. 566, 423-440 (2000).
Fleischer, Jochem, Jegerlehner, F, and Tarasov, OV. “Algebraic reduction of one-loop Feynman graph amplitudes”. NUCLEAR PHYSICS B 566.1-2 (2000): 423-440.
This data publication is cited in the following publications:
This publication cites the following data publications:

Export

0 Marked Publications

Open Data PUB

Web of Science

View record in Web of Science®

Sources

arXiv hep-ph/9907327

Inspire 503608

Search this title in

Google Scholar