International audienceWe consider a two-loop massless propagator-type Feynman diagram with an arbitrary (noninteger) index on the central line. We analytically prove the equality of two well-known results in the literature expressing this diagram in terms of hypergeometric functions 3F2 of the respective arguments −1 and 1. We also derive new representations for this diagram, which can be important in practical calculations
Fleischer J, Kotikov AV, Veretin OL. Analytic two-loop results for self-energy- and vertex-type diag...
The operator approach to analytical evaluation of multi-loop Feynman diagrams is proposed. We show t...
We present an algorithm for the analytical evaluation of dimensionally regularized massless on-shell...
For certain dimensionally-regulated one-, two- and three-loop diagrams, problems of constructing the...
For certain dimensionally-regulated one-, two- and three-loop diagrams, problems of constructing the...
An algorithm for calculating two-loop propagator type Feynman diagrams with arbitrary masses and ext...
Abstract We study a two loop diagram of propagator type with general parameters through the Symmetri...
Different mathematical methods have been applied to obtain the analytic result for the massless tria...
We show that all Feynman integrals in two Euclidean dimensions with massless propagators and arbitra...
We comment on the algorithm to compute periods using hyperlogarithms, applied to massless Feynman in...
We consider two-loop two-, three-, and four-point diagrams with elliptic subgraphs involving two dif...
In a recent paper we have presented an automated subtraction method for divergent multi-loop/leg int...
We show how to obtain correctly normalized expressions for the Feynman diagrams of \Phi 3 theory w...
General expressions are obtained for scalar one-loop massive Feynman diagrams with any number of ext...
In this work we calculate two two-loop massless Feynman integrals pertaining to self-energy diagrams...
Fleischer J, Kotikov AV, Veretin OL. Analytic two-loop results for self-energy- and vertex-type diag...
The operator approach to analytical evaluation of multi-loop Feynman diagrams is proposed. We show t...
We present an algorithm for the analytical evaluation of dimensionally regularized massless on-shell...
For certain dimensionally-regulated one-, two- and three-loop diagrams, problems of constructing the...
For certain dimensionally-regulated one-, two- and three-loop diagrams, problems of constructing the...
An algorithm for calculating two-loop propagator type Feynman diagrams with arbitrary masses and ext...
Abstract We study a two loop diagram of propagator type with general parameters through the Symmetri...
Different mathematical methods have been applied to obtain the analytic result for the massless tria...
We show that all Feynman integrals in two Euclidean dimensions with massless propagators and arbitra...
We comment on the algorithm to compute periods using hyperlogarithms, applied to massless Feynman in...
We consider two-loop two-, three-, and four-point diagrams with elliptic subgraphs involving two dif...
In a recent paper we have presented an automated subtraction method for divergent multi-loop/leg int...
We show how to obtain correctly normalized expressions for the Feynman diagrams of \Phi 3 theory w...
General expressions are obtained for scalar one-loop massive Feynman diagrams with any number of ext...
In this work we calculate two two-loop massless Feynman integrals pertaining to self-energy diagrams...
Fleischer J, Kotikov AV, Veretin OL. Analytic two-loop results for self-energy- and vertex-type diag...
The operator approach to analytical evaluation of multi-loop Feynman diagrams is proposed. We show t...
We present an algorithm for the analytical evaluation of dimensionally regularized massless on-shell...
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