Add to ORKGWe will present some (formal) arguments that any Feynman diagram can be understood as a particular case of a sum of Horn-type multivariable hypergeometric functions. The advantages and disadvantages of this type of approach to the evaluation of Feynman diagrams is discussed
HYPERDIRE is a project devoted to the creation of a set of Mathematica based programs for the differ...
We discuss a progress in calculation of Feynman integrals which has been done with help of the diffe...
We study the algebraic and analytic structure of Feynman integrals by proposing an operation that ma...
We consider the derivatives of Horn hypergeometric functions of any number variables with respect to...
We propose a general coaction for families of integrals appearing in the evaluation of Feynman diagr...
AbstractWe argue that the Mellin–Barnes representations of Feynman diagrams can be used for obtainin...
International audienceIt is known that one-loop Feynman integrals possess an algebraic structure enc...
We present recent computer algebra methods that support the calculations of (multivariate) series so...
Hypergeometric structures in single and multiscale Feynman integrals emerge in a wide class of topol...
Different mathematical methods have been applied to obtain the analytic result for the massless tria...
This program has been imported from the CPC Program Library held at Queen's University Belfast (1969...
The operator approach to analytical evaluation of multi-loop Feynman diagrams is proposed. We show t...
AbstractPresent and future high-precision tests of the Standard Model and beyond for the fundamental...
International audienceThe diagrammatic coaction maps any given Feynman graph into pairs of graphs an...
We use Reshetikhin-Turaev graphical calculus to define Feynman diagrams and prove that asymptotic ex...
HYPERDIRE is a project devoted to the creation of a set of Mathematica based programs for the differ...
We discuss a progress in calculation of Feynman integrals which has been done with help of the diffe...
We study the algebraic and analytic structure of Feynman integrals by proposing an operation that ma...
We consider the derivatives of Horn hypergeometric functions of any number variables with respect to...
We propose a general coaction for families of integrals appearing in the evaluation of Feynman diagr...
AbstractWe argue that the Mellin–Barnes representations of Feynman diagrams can be used for obtainin...
International audienceIt is known that one-loop Feynman integrals possess an algebraic structure enc...
We present recent computer algebra methods that support the calculations of (multivariate) series so...
Hypergeometric structures in single and multiscale Feynman integrals emerge in a wide class of topol...
Different mathematical methods have been applied to obtain the analytic result for the massless tria...
This program has been imported from the CPC Program Library held at Queen's University Belfast (1969...
The operator approach to analytical evaluation of multi-loop Feynman diagrams is proposed. We show t...
AbstractPresent and future high-precision tests of the Standard Model and beyond for the fundamental...
International audienceThe diagrammatic coaction maps any given Feynman graph into pairs of graphs an...
We use Reshetikhin-Turaev graphical calculus to define Feynman diagrams and prove that asymptotic ex...
HYPERDIRE is a project devoted to the creation of a set of Mathematica based programs for the differ...
We discuss a progress in calculation of Feynman integrals which has been done with help of the diffe...
We study the algebraic and analytic structure of Feynman integrals by proposing an operation that ma...