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In this paper we are going to find a rooted tree representation fromuniversal Hopf algebra of renormalization (in Connes-Marcolli's approach in thestudy of renormalizable Quantum Field Theories under the scheme minimalsubtraction in dimensional regularization). With attention to this new picture,interesting relations between this specific Hopf algebra and some importantHopf algebras of rooted trees and also Hopf algebra of (quasi-) symmetricfunctions are obtained. And moreover a new interpretation from universalsingular frame, based on Hall rooted trees, is deduced such that it can beapplied to the physical information of a renormalizable theory such ascounterterms.

Universal Hopf Algebra of Renormalization and Hopf Algebras of Rooted Trees