@article{Davydychev1999ThresholdEO,
title={Threshold expansion of the sunset diagram},
author={Andrei I. Davydychev and Vladimir A. Smirnov},
journal={Nuclear Physics},
year={1999},
volume={554},
pages={391-414}
}

We consider two-loop sunset diagrams with two mass scales m and M at the threshold and pseudothreshold that cannot be treated by earlier published formulas. The complete reduction to master integrals… Expand

Abstract.We demonstrate the use of several code implementations of the Mellin-Barnes method available in the public domain to derive analytic expressions for the sunset diagrams that arise in the… Expand

The massless sunrise diagram with an arbitrary number of loops is calculated in a simple but formal manner. The result is then verified by rigorous mathematical treatment. Pitfalls in the calculation… Expand

We derive expressions for the phase space of a particle of momentum p decaying into N particles, that are valid for any number of dimensions. These are the imaginary parts of so-called “sunset”… Expand

Using dispersive techniques, it is possible to avoid ultraviolet divergences in the calculation of Feynman diagrams, making subsequent regularization of divergent diagrams unnecessary. We give a… Expand

A general procedure for the calculation of a class of two-loop Feynman diagrams is described. These are two-point functions containing three massive propagators, raised to integer powers, in the… Expand

Abstract. Two-loop vertex Feynman diagrams with infrared and collinear divergences are investigated by two independent methods. On the one hand, a method of calculating Feynman diagrams from their… Expand