34 citations · 140 across the 17 of their papers we have counts for
7 papers · 1 filter
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…
Feynman Diagrams and a Combination of the Integration by Parts (IBP) and the Integration by Fractional Expansion (IBFE) Techniques
Ivan Gonzalez, Marcelo Loewe
In this paper we show how to improve and extend the Integration by Fractional Expansion technique (IBFE) by applying it to certain families of scalar massive Feynman diagrams. The…
Modular application of an Integration by Fractional Expansion (IBFE) method to multiloop Feynman diagrams
Ivan Gonzalez, Ivan Schmidt
We present an alternative technique for evaluating multiloop Feynman diagrams, using the integration by fractional expansion method. Here we consider generic diagrams that contain…
Modular application of an Integration by Fractional Expansion (IBFE) method to multiloop Feynman diagrams II
Ivan Gonzalez, Ivan Schmidt
A modular application of the integration by fractional expansion (IBFE) method for evaluating Feynman diagrams is extended to diagrams that contain loop triangle subdiagrams in the…
Optimized Negative Dimensional Integration Method (NDIM) and multiloop Feynman diagram calculation
Ivan Gonzalez, Ivan Schmidt
We present an improved form of the integration technique known as NDIM (Negative Dimensional Integration Method), which is a powerful tool in the analytical evaluation of Feynman d…