Dual Conformal Symmetry and Iterative Integrals in Six Dimensions

Abstract

In this article, we continue the investigation of [1] regarding iterative properties of dual conformal integrals in higher dimensions. In d = 4, iterative properties of four and five point dual conformal integrals manifest themselves in the famous BDS ansatz conjecture. In [1] it was also conjectured that a similar structure of integrals may reappear in d = 6. We show that one can systematically, order by order in the number of loops, construct combinations of d = 6 integrals with 1/(p 2 ) 2 propagators with an iterative structure similar to the d = 4 case. Such combinations as a whole also respect dual conformal invariance but individual integrals may not.