Towards automatic analytic evaluation of massive Feynman diagrams

Avdeev LV, Fleischer J, Kalmykov MY, Tentyukov M (1997)
NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT 389(1-2): 343-346.

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Konferenzbeitrag | Veröffentlicht | Englisch
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Abstract / Bemerkung
A method to calculate two-loop self-energy diagrams of the Standard Model is demonstrated. A direct physical application is the calculation of the two-loop electroweak contribution to the anomalous magnetic moment of the muon 1/2(g-2)(mu). Presently we confine ourselves to a ''toy'' model with only mu, gamma and a scalar particle (Higgs). The algorithm is implemented as a package of computer programs in FORM. For generating and automatically evaluating any number of two-loop self-energy diagrams, a special C-program has been written. This program creates the initial FORM-expression for every diagram generated by QGRAF, executes the corresponding subroutines and sums up the final results.
Erscheinungsjahr
Band
389
Zeitschriftennummer
1-2
Seite
343-346
ISSN
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Avdeev LV, Fleischer J, Kalmykov MY, Tentyukov M. Towards automatic analytic evaluation of massive Feynman diagrams. NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT. 1997;389(1-2):343-346.
Avdeev, L. V., Fleischer, J., Kalmykov, M. Y., & Tentyukov, M. (1997). Towards automatic analytic evaluation of massive Feynman diagrams. NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT, 389(1-2), 343-346. doi:10.1016/S0168-9002(97)00125-3
Avdeev, L. V., Fleischer, J., Kalmykov, M. Y., and Tentyukov, M. (1997). Towards automatic analytic evaluation of massive Feynman diagrams. NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT 389, 343-346.
Avdeev, L.V., et al., 1997. Towards automatic analytic evaluation of massive Feynman diagrams. NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT, 389(1-2), p 343-346.
L.V. Avdeev, et al., “Towards automatic analytic evaluation of massive Feynman diagrams”, NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT, vol. 389, 1997, pp. 343-346.
Avdeev, L.V., Fleischer, J., Kalmykov, M.Y., Tentyukov, M.: Towards automatic analytic evaluation of massive Feynman diagrams. NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT. 389, 343-346 (1997).
Avdeev, LV, Fleischer, Jochem, Kalmykov, MY, and Tentyukov, M. “Towards automatic analytic evaluation of massive Feynman diagrams”. NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT 389.1-2 (1997): 343-346.

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