51 citations · 505 across the 50 of their papers we have counts for
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Analytical solution to DGLAP integro-differential equation via complex maps in domains of contour integrals
Gustavo Alvarez, Igor Kondrashuk
A simple model for QCD dynamics in which the DGLAP integro-differential equation may be solved analytically has been considered in our previous papers arXiv:1611.08787 [hep-ph] and…
Alternative method of Reduction of the Feynman Diagrams to a set of Master Integrals
Julio Borja, Igor Kondrashuk
We propose a new set of Master Integrals which can be used as a basis for certain multiloop calculations in massless gauge field theories. In these theories we consider three-point…
Two-fold Mellin-Barnes transforms of Usyukina-Davydychev functions
Bernd Kniehl, Igor Kondrashuk, Eduardo A. Notte-Cuello +2
In our previous paper [Nucl.Phys. B 870 (2013) 243], we showed that multi-fold Mellin-Barnes (MB) transforms of Usyukina-Davydychev (UD) functions may be reduced to two-fold MB tra…
Box ladders in non-integer dimension
Ivan Gonzalez, Igor Kondrashuk
We construct a family of triangle-ladder diagrams which may be calculated by making use of Belokurov-Usyukina loop reduction technique in d = 4 -2e dimensions. The main idea of the…
Belokurov-Usyukina loop reduction in non-integer dimension
Ivan Gonzalez, Igor Kondrashuk
Belokurov-Usyukina loop reduction method has been proposed in 1983 to reduce a number of rungs in triangle ladder-like diagram by one. The disadvantage of the method is that it wor…
Solution to Bethe-Salpeter equation via Mellin-Barnes transform
Pedro Allendes, Bernd Kniehl, Igor Kondrashuk +2
We consider Mellin-Barnes transform of triangle ladder-like scalar diagram in d=4 dimensions. It is shown how the multi-fold MB transform of the momentum integral corresponding to…