The Grobner basis technique for calculating Feynman diagrams proposed in [O.V. Tarasov, Acta Physica Polonica, v. B29 (1998) 2655] is applied to the two-loop propagator type integrals with arbitrary masses and momentum. We describe the derivation of Grobner bases for all integrals with 1PI topologies and present elements of the Grobner bases
Abstract We study a two loop diagram of propagator type with general parameters through the Symmetri...
For any given Feynman graph, the set of integrals with all possible powers of the propagators spans ...
For any given Feynman graph, the set of integrals with all possible powers of the propagators spans ...
The Grobner basis technique for calculating Feynman diagrams proposed in [O.V. Tarasov, Acta Physica...
An algorithm for calculating two-loop propagator type Feynman diagrams with arbitrary masses and ext...
In this paper we outline the most general and universal algorithmic approach to reduction of loop in...
I discuss methods of calculation of propagator diagrams (massless, those of Heavy Quark Effective Th...
This paper is a detailed description of an algorithm based on a generalized Buchberger algorithm for...
We study the problem of solving integration-by-parts recurrence relations for a given class of Feynm...
A framework to represent and compute two-loop $N$-point Feynman diagrams as double-integrals is disc...
We review the Laporta algorithm for the reduction of scalar integrals to the master integrals and th...
A perturbative approach to quantum field theory involves the computation of loop integrals, as soon ...
We discuss a progress in calculations of Feynman integrals based on the Gegenbauer Polynomial Techni...
Abstract: In this paper we develop further and refine the method of differential equations for compu...
Abstract We present an algorithm for the calculation of scalar and tensor one- and two-loop integral...
Abstract We study a two loop diagram of propagator type with general parameters through the Symmetri...
For any given Feynman graph, the set of integrals with all possible powers of the propagators spans ...
For any given Feynman graph, the set of integrals with all possible powers of the propagators spans ...
The Grobner basis technique for calculating Feynman diagrams proposed in [O.V. Tarasov, Acta Physica...
An algorithm for calculating two-loop propagator type Feynman diagrams with arbitrary masses and ext...
In this paper we outline the most general and universal algorithmic approach to reduction of loop in...
I discuss methods of calculation of propagator diagrams (massless, those of Heavy Quark Effective Th...
This paper is a detailed description of an algorithm based on a generalized Buchberger algorithm for...
We study the problem of solving integration-by-parts recurrence relations for a given class of Feynm...
A framework to represent and compute two-loop $N$-point Feynman diagrams as double-integrals is disc...
We review the Laporta algorithm for the reduction of scalar integrals to the master integrals and th...
A perturbative approach to quantum field theory involves the computation of loop integrals, as soon ...
We discuss a progress in calculations of Feynman integrals based on the Gegenbauer Polynomial Techni...
Abstract: In this paper we develop further and refine the method of differential equations for compu...
Abstract We present an algorithm for the calculation of scalar and tensor one- and two-loop integral...
Abstract We study a two loop diagram of propagator type with general parameters through the Symmetri...
For any given Feynman graph, the set of integrals with all possible powers of the propagators spans ...
For any given Feynman graph, the set of integrals with all possible powers of the propagators spans ...
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