ar X iv : h ep - p h / 97 10 22 2 v 1 2 O ct 1 99 7 TOWARDS AUTOMATIC ANALYTIC EVALUATION OF DIAGRAMS WITH MASSES

نویسندگان

  • V. Avdeev
  • J. Fleischer
  • M. Yu. Kalmykov
  • M. N. Tentyukov
چکیده

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) µ. Presently, we confine ourselves to a " toy " model with only µ, γ 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. 1 Basic points of this paper have been briefly presented at The International Workshop AIHENP '96 [1] 2

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تاریخ انتشار 1997