470 citations · 2.7k across the 45 of their papers we have counts for
45 papers
Calculation of one-loop integrals for four-photon amplitudes by functional reduction method
O. V. Tarasov
The method for functional reduction of Feynman integrals, proposed by the author, is used to calculate one-loop integrals corresponding to diagrams with four external lines. The in…
Functional reduction of one-loop Feynman integrals with arbitrary masses
O. V. Tarasov
A method of functional reduction for the dimensionally regularized one-loop Feynman integrals with massive propagators is described in detail. The method is based on a repeated app…
Anomalous dimensions of quark masses in the three-loop approximation
O. V. Tarasov
The results of calculation of the three-loop radiative correction to the renormalization constant of fermion masses for non-abelian gauge theory interacting with fermions are prese…
Massless on-shell box integral with arbitrary powers of propagators
O. V. Tarasov
The massless one-loop box integral with arbitrary indices in arbitrary space-time dimension is shown to reduce to a sum over three generalised hypergeometric functions. This re…
Methods for deriving functional equations for Feynman integrals
O. V. Tarasov
We present short review of two methods for obtaining functional equations for Feynman integrals. Application of these methods for finding functional equations for one- and two- loo…
Counting master integrals: Integration by parts vs. functional equations
Bernd A. Kniehl, Oleg V. Tarasov
We illustrate the usefulness of functional equations in establishing relationships between master integrals under the integration-by-parts reduction procedure by considering a cert…