Algebraic reduction of one-loop Feynman graph amplitudes
Fleischer J, Jegerlehner F, Tarasov OV (2000)
NUCLEAR PHYSICS B 566(1-2): 423-440.
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Autor*in
Fleischer, JochemUniBi;
Jegerlehner, F;
Tarasov, OV
Abstract / Bemerkung
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.
Erscheinungsjahr
2000
Zeitschriftentitel
NUCLEAR PHYSICS B
Band
566
Ausgabe
1-2
Seite(n)
423-440
ISSN
0550-3213
Page URI
https://pub.uni-bielefeld.de/record/1620596
Zitieren
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. https://doi.org/10.1016/S0550-3213(99)00678-1
Fleischer, Jochem, Jegerlehner, F, and Tarasov, OV. 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.
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