3 papers
math-ph2018
Multi-fold contour integrals of certain ratios of Euler gamma functions from Feynman diagrams: orthogonality of triangles
Ivan Gonzalez, Igor Kondrashuk, Eduardo A. Notte-Cuello +1
We observe a property of orthogonality of the Mellin-Barnes transformation of the triangle one-loop diagrams, which follows from our previous papers [JHEP {\bf 0808} (2008) 106, JH…
hep-ph2016
Analytical solution to DGLAP integro-differential equation in a simple toy-model with a fixed gauge coupling
Gustavo Alvarez, Gorazd Cvetic, Bernd A. Kniehl +2
We consider a simple model for QCD dynamics in which DGLAP integro-differential equation may be solved analytically. This is a gauge model which possesses dominant evolution of gau…
math-ph2016
Explicit calculation of multi-fold contour integrals of certain ratios of Euler gamma functions. Part 1
Ivan Gonzalez, Bernd A. Kniehl, Igor Kondrashuk +3
In this paper we proceed to study properties of Mellin-Barnes (MB) transforms of Usyukina-Davydychev (UD) functions. In our previous papers [Nuclear Physics B 870 (2013) 243], [Nuc…