Towards automatic analytic evaluation of diagrams with masses

Avdeev LV, Fleischer J, Kalmykov MY, Tentyukov MN (1997)
Computer Physics Communications 107(1-3): 155-166.

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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 heavy neutral scalar particle (Higgs). The algorithm is implemented as a FORM-based program package, 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. (C) 1997 Elsevier Science B.V.
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Avdeev LV, Fleischer J, Kalmykov MY, Tentyukov MN. Towards automatic analytic evaluation of diagrams with masses. Computer Physics Communications. 1997;107(1-3):155-166.
Avdeev, L. V., Fleischer, J., Kalmykov, M. Y., & Tentyukov, M. N. (1997). Towards automatic analytic evaluation of diagrams with masses. Computer Physics Communications, 107(1-3), 155-166.
Avdeev, L. V., Fleischer, J., Kalmykov, M. Y., and Tentyukov, M. N. (1997). Towards automatic analytic evaluation of diagrams with masses. Computer Physics Communications 107, 155-166.
Avdeev, L.V., et al., 1997. Towards automatic analytic evaluation of diagrams with masses. Computer Physics Communications, 107(1-3), p 155-166.
L.V. Avdeev, et al., “Towards automatic analytic evaluation of diagrams with masses”, Computer Physics Communications, vol. 107, 1997, pp. 155-166.
Avdeev, L.V., Fleischer, J., Kalmykov, M.Y., Tentyukov, M.N.: Towards automatic analytic evaluation of diagrams with masses. Computer Physics Communications. 107, 155-166 (1997).
Avdeev, LV, Fleischer, Jochem, Kalmykov, MY, and Tentyukov, MN. “Towards automatic analytic evaluation of diagrams with masses”. Computer Physics Communications 107.1-3 (1997): 155-166.
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