Differential equations and dispersion relations for Feynman amplitudes. The two-loop massive sunrise and the kite integral

نویسندگان

  • Ettore Remiddi
  • Lorenzo Tancredi
چکیده

It is shown that the study of the imaginary part and of the corresponding dispersion relations of Feynman graph amplitudes within the differential equations method can provide a powerful tool for the solution of the equations, especially in the massive case. The main features of the approach are illustrated by discussing the simple cases of the 1-loop selfmass and of a particular vertex amplitude, and then used for the evaluation of the two-loop massive sunrise and the QED kite graph (the problem studied by Sabry in 1962), up to first order in the (d− 4) expansion.

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تاریخ انتشار 2016