Transformations of triangle ladder diagrams

Details Transformations of triangle ladder diagrams Transformations of triangle ladder diagrams

2009-11-10

arxiv.org/abs/0911.1979v2

JHEP 1003:051,2010

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, 14 figures, Talk at "High energy physics in the LHC era" conference, Valparaiso,Chile, The XVIIth Oporto Meeting on

Scientific paper

10.1007/JHEP03(2010)051

It is shown how dual space diagrammatic representation of momentum integrals corresponding to triangle ladder diagrams with an arbitrary number of rungs can be transformed to half-diamonds. In paper arXiv:0803.3420 [hep-th] the half-diamonds were related by conformal integral substitution to the diamonds which represent the dual space image of four-point ladder integrals in the four-dimensional momentum space. Acting in the way described in the present paper we do not need to use the known result for diamond (four-point) diagrams as an external input in deriving relations of arXiv:0803.3420 [hep-th], however, that result for the diamond diagram arises in the present proof as an intermediate consequence in a step-by-step diagrammatic transformation from the triangle ladder diagram to the half-diamond diagrams.

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