Speaker
Alexey Isaev
(BLTP, JINR)
Description
In our previous works, we used the graph-building operator technique, together with the connection to conformal quantum mechanics, to obtain an all-loop result for the conformal ladde and zig-zag four-point diagrams in arbitrary dimensions. While our expression for ladder diagrams was fully analytical and valid in any dimension, it was formulated in terms of Gegenbauer polynomials, so despite its generality the form of the answer could be subtle for the practical use. In the present report, we show that in arbitrary even dimensions our previous representation can be systematically expressed using classical polylogarithms and rational functions. We also verify that our representation satisfies dimensional shift (D -> D+2) identity.
Author
Alexey Isaev
(BLTP, JINR)
