Dual conformal symmetry and iterative integrals in six dimensions

A bstract 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 a...

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Bibliographic Details
Published in:The journal of high energy physics Vol. 2020; no. 6; pp. 1 - 21
Main Authors: Bork, L.V., Iakhibbaev, R.M., Kazakov, D.I., Tolkachev, D.M.
Format: Journal Article
Language:English
Published: Berlin/Heidelberg Springer Berlin Heidelberg 01-06-2020
Springer Nature B.V
SpringerOpen
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Summary:A bstract 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.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP06(2020)186