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Journal of High Energy Physics

, 2014:116

First Online: 22 September 2014Received: 16 July 2014Accepted: 27 August 2014 Abstract

We study master integrals needed to compute the Higgs boson production cross section via gluon fusion in the infinite top quark mass limit, using a canonical form of differential equations for master integrals, recently identified by Henn, which makes their solution possible in a straightforward algebraic way. We apply the known criteria to derive such a suitable basis for all the phase space master integrals in afore mentioned process at next-to-next-to-leading order in QCD and demonstrate that the method is applicable to next-to-next-to-next-to-leading order as well by solving a non-planar topology. Furthermore, we discuss in great detail how to find an adequate basis using practical examples. Special emphasis is devoted to master integrals which are coupled by their differential equations.

KeywordsQCD Phenomenology Hadronic Colliders ArXiv ePrint: 1407.4049

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Author: Maik Höschele - Jens Hoff - Takahiro Ueda


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