27 citations · 33 across the 3 of their papers we have counts for
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Analytical evaluation of certain on-shell two-loop three-point diagrams
A. I. Davydychev, V. A. Smirnov
An analytical approach is applied to the calculation of some dimensionally-regulated two-loop vertex diagrams with essential on-shell singularities. Such diagrams are important for…
Hadronic corrections to the muon decay
A. I. Davydychev, K. Schilcher, H. Spiesberger
We consider the O(alpha^2) hadronic corrections to the energy spectrum of the decay electron in muon decay. We find that the correction can be described, within good approximation,…
Two-loop QCD vertices, WST identities and RG quantities
A. I. Davydychev, P. Osland, O. V. Tarasov
Recent results from the study of the two-loop three-gluon and ghost-gluon vertices are reviewed. The relevant Ward-Slavnov-Taylor (WST) identities and Renormalization Group (RG) qu…
Two-loop vacuum diagrams and tensor decomposition
A. I. Davydychev, J. B. Tausk
General algorithms for tensor reduction of two-loop massive vacuum diagrams are discussed. Some explicit useful formulae are presented.
Progress in Evaluating Some Complicated Types of Feynman Diagrams with Two (and More) Loops
A. I. Davydychev
Problems occurring in physically important non-trivial examples of loop calculations are discussed. A procedure of deriving expansions of two-loop self-energy diagrams with differe…
Some Exact Results for Two-Loop Diagrams with Three and Four External Lines
N. I. Ussyukina, A. I. Davydychev
Evaluation of three- and four-point diagrams with massless internal particles and arbitrary external momenta is considered. Exact results for some two-loop diagrams (planar and non…