We discuss a progress in calculations of Feynman integrals based on the Gegenbauer Polynomial Technique and the Differential Equation Method. We demonstrate the results for a class of two-point two-loop diagrams and the evaluation of most complicated part of O(1/N^3) contributions to critical exponents of \phi^4-theory. An illustration of the results obtained with help of above methods is considered
We study the algebraic and analytic structure of Feynman integrals by proposing an operation that ma...
The operator approach to analytical evaluation of multi-loop Feynman diagrams is proposed. We show t...
We propose a general coaction for families of integrals appearing in the evaluation of Feynman diagr...
We discuss a progress in calculation of Feynman integrals which has been done with help of the diffe...
The problem of evaluating Feynman integrals over loop momenta has existed from the early days of per...
The problem of evaluating Feynman integrals over loop momenta has existed from the early days of per...
This thesis covers a number of different research projects which are all connected to the central to...
We present a new method for numerically computing generic multi-loop Feynman integrals. The method r...
In this Thesis we discuss recent ideas concerning the evaluation of multi-loop Feynman Integrals in...
Abstract The computation of Feynman integrals is often the bottleneck of multi-loop calculations. We...
International audienceIt is known that one-loop Feynman integrals possess an algebraic structure enc...
A non traditional method to calculate multi-point Feynman functions is presented. In the approach, D...
Feynman integrals play a central role in the modern scattering amplitudes research program. Advancin...
A framework to represent and compute two-loop $N$-point Feynman diagrams as double-integrals is disc...
We study Feynman integrals in the representation with Schwinger parameters and derive recursive inte...
We study the algebraic and analytic structure of Feynman integrals by proposing an operation that ma...
The operator approach to analytical evaluation of multi-loop Feynman diagrams is proposed. We show t...
We propose a general coaction for families of integrals appearing in the evaluation of Feynman diagr...
We discuss a progress in calculation of Feynman integrals which has been done with help of the diffe...
The problem of evaluating Feynman integrals over loop momenta has existed from the early days of per...
The problem of evaluating Feynman integrals over loop momenta has existed from the early days of per...
This thesis covers a number of different research projects which are all connected to the central to...
We present a new method for numerically computing generic multi-loop Feynman integrals. The method r...
In this Thesis we discuss recent ideas concerning the evaluation of multi-loop Feynman Integrals in...
Abstract The computation of Feynman integrals is often the bottleneck of multi-loop calculations. We...
International audienceIt is known that one-loop Feynman integrals possess an algebraic structure enc...
A non traditional method to calculate multi-point Feynman functions is presented. In the approach, D...
Feynman integrals play a central role in the modern scattering amplitudes research program. Advancin...
A framework to represent and compute two-loop $N$-point Feynman diagrams as double-integrals is disc...
We study Feynman integrals in the representation with Schwinger parameters and derive recursive inte...
We study the algebraic and analytic structure of Feynman integrals by proposing an operation that ma...
The operator approach to analytical evaluation of multi-loop Feynman diagrams is proposed. We show t...
We propose a general coaction for families of integrals appearing in the evaluation of Feynman diagr...