Towards automatic analytic evaluation of massive Feynman diagrams

Avdeev LV, Fleischer J, Kalmykov MY, Tentyukov M (1997)
In: Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment. NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT, 389(1-2). ELSEVIER SCIENCE BV: 343-346.

Konferenzbeitrag | Veröffentlicht | Englisch
 
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Autor*in
Avdeev, LV; Fleischer, JochemUniBi; Kalmykov, MY; Tentyukov, M
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.
Stichworte
anomalous magnetic moment; Standard Model; asymptotic expansion
Erscheinungsjahr
1997
Titel des Konferenzbandes
Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment
forms.conference.field.series_title_volume.series_title.label
NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT
Band
389
Ausgabe
1-2
Seite(n)
343-346
ISSN
0168-9002
Page URI
https://pub.uni-bielefeld.de/record/1627926

Zitieren

Avdeev LV, Fleischer J, Kalmykov MY, Tentyukov M. Towards automatic analytic evaluation of massive Feynman diagrams. In: Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment. NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT. Vol 389. ELSEVIER SCIENCE BV; 1997: 343-346.
Avdeev, L. V., Fleischer, J., Kalmykov, M. Y., & Tentyukov, M. (1997). Towards automatic analytic evaluation of massive Feynman diagrams. Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT, 389, 343-346. ELSEVIER SCIENCE BV. https://doi.org/10.1016/S0168-9002(97)00125-3
Avdeev, LV, Fleischer, Jochem, Kalmykov, MY, and Tentyukov, M. 1997. “Towards automatic analytic evaluation of massive Feynman diagrams”. In Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, 389:343-346. NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT. ELSEVIER SCIENCE BV.
Avdeev, L. V., Fleischer, J., Kalmykov, M. Y., and Tentyukov, M. (1997). “Towards automatic analytic evaluation of massive Feynman diagrams” in Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT, vol. 389, (ELSEVIER SCIENCE BV), 343-346.
Avdeev, L.V., et al., 1997. Towards automatic analytic evaluation of massive Feynman diagrams. In Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment. NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT. no.389 ELSEVIER SCIENCE BV, pp. 343-346.
L.V. Avdeev, et al., “Towards automatic analytic evaluation of massive Feynman diagrams”, Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT, vol. 389, ELSEVIER SCIENCE BV, 1997, pp.343-346.
Avdeev, L.V., Fleischer, J., Kalmykov, M.Y., Tentyukov, M.: Towards automatic analytic evaluation of massive Feynman diagrams. Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment. NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT. 389, p. 343-346. ELSEVIER SCIENCE BV (1997).
Avdeev, LV, Fleischer, Jochem, Kalmykov, MY, and Tentyukov, M. “Towards automatic analytic evaluation of massive Feynman diagrams”. Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment. ELSEVIER SCIENCE BV, 1997.Vol. 389. NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT. 343-346.
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