Title On geometric scaling of light-like Wilson polygons : higher orders in $\alpha_{s}$ Author Cherednikov, I.O. Mertens, Tom Faculty/Department Faculty of Sciences. Physics Publication type article Publication 2014 Amsterdam , 2014 Subject Physics Source (journal) Physics letters: B. - Amsterdam, 1967, currens Volume/pages 734(2014) , p. 198-202 ISSN 0370-2693 ISI 000338943900039 Carrier E Target language English (eng) Full text (Publishers DOI) Affiliation University of Antwerp Abstract We address the scaling behaviour of contour-shape-dependent ultraviolet singularities of the light-like cusped Wilson loops in Yang-Mills and N = 4 super-Yang-Mills theories in the higher orders of the perturbative expansion. We give the simple arguments to support the idea that identifying of a special type of non-local infinitesimal shape variations of the light-like Wilson polygons with the Frechet differentials results in the combined geometric and renormalization-group evolution equation, which is applicable beyond the leading order exponentiated Wilson loops. (C) 2014 The Authors. Published by Elsevier B.V. E-info http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000338943900039&DestLinkType=RelatedRecords&DestApp=ALL_WOS&UsrCustomerID=ef845e08c439e550330acc77c7d2d848 http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000338943900039&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=ef845e08c439e550330acc77c7d2d848 http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000338943900039&DestLinkType=CitingArticles&DestApp=ALL_WOS&UsrCustomerID=ef845e08c439e550330acc77c7d2d848 Full text (open access) https://repository.uantwerpen.be/docman/irua/6cd9bc/118734.pdf Handle