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Triangle UD integrals in the position space

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arxiv 0803.3420 v2 pith:MGACL7U2 submitted 2008-03-24 hep-th math-phmath.MP

classification hep-thmath-phmath.MP
keywords spacepositiontermstriangleintegralsladderall-orderarbitrary
verification ladder T0 review T1 audit T2 compute T3 formal
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We investigate triangle UD ladder integrals in the position space. The investigation is necessary to find an all-order in loop solution for an auxiliary Lcc correlator in Wess-Zumino-Landau gauge of the maximally supersymmetric Yang-Mills theory and to present correlators of dressed mean gluons in terms of it in all loops. We show that triangle UD ladder diagrams in the position space can be expressed in terms of the same UD functions Phi^(L) in terms of which they were represented in the momentum space, for an arbitrary number of rungs.

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  1. A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals

    hep-ph 2024-12 conditional novelty 5.0 of 10

    A five-fold Mellin-Barnes integral for the massless box diagram is reduced to a two-fold triangle integral using analytical regularization and residue calculus, without Barnes lemmas.

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