Factorizing one-loop contributions to two-loop Bhabha scattering and automatization of Feynman diagram calculations

Fleischer J, Tarasov O, Riemann T, Werthenbach A (2003)
In: NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT. 502. ELSEVIER SCIENCE BV: 567-569.

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In higher order calculations a number of new technical problems arise: one needs diagrams in arbitrary dimension in order to obtain their needed epsilon-expansion, zero Gram determinants appear, renormalization produces diagrams with 'dots' on the lines, i.e. higher-order powers of scalar propagators. All these problems cannot be accessed by the 'standard' Passarino-Veltman approach: what is needed for higher loops is not available there. We demonstrate our method of how to solve these problems. (C) 2003 Elsevier Science B.V. All rights reserved.
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Fleischer J, Tarasov O, Riemann T, Werthenbach A. Factorizing one-loop contributions to two-loop Bhabha scattering and automatization of Feynman diagram calculations. In: NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT. Vol 502. ELSEVIER SCIENCE BV; 2003: 567-569.
Fleischer, J., Tarasov, O., Riemann, T., & Werthenbach, A. (2003). Factorizing one-loop contributions to two-loop Bhabha scattering and automatization of Feynman diagram calculations. NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT, 502(2-3), 567-569.
Fleischer, J., Tarasov, O., Riemann, T., and Werthenbach, A. (2003). “Factorizing one-loop contributions to two-loop Bhabha scattering and automatization of Feynman diagram calculations” in NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT, vol. 502, (ELSEVIER SCIENCE BV), 567-569.
Fleischer, J., et al., 2003. Factorizing one-loop contributions to two-loop Bhabha scattering and automatization of Feynman diagram calculations. In NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT. no.502 ELSEVIER SCIENCE BV, pp. 567-569.
J. Fleischer, et al., “Factorizing one-loop contributions to two-loop Bhabha scattering and automatization of Feynman diagram calculations”, NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT, vol. 502, ELSEVIER SCIENCE BV, 2003, pp.567-569.
Fleischer, J., Tarasov, O., Riemann, T., Werthenbach, A.: Factorizing one-loop contributions to two-loop Bhabha scattering and automatization of Feynman diagram calculations. NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT. 502, p. 567-569. ELSEVIER SCIENCE BV (2003).
Fleischer, Jochem, Tarasov, O, Riemann, T, and Werthenbach, A. “Factorizing one-loop contributions to two-loop Bhabha scattering and automatization of Feynman diagram calculations”. NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT. ELSEVIER SCIENCE BV, 2003.Vol. 502. 567-569.
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