An extended ansatz for canonical differential equations handles epsilon-dependent apparent singularities and yields an epsilon-factorized form for the four-loop Calabi-Yau Feynman integral relevant to 5PM black-hole scattering.
Adequate bases of phase space master integrals for $gg \to h$ at NNLO and beyond
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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.
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Calabi-Yau Feynman integrals in gravity: $\varepsilon$-factorized form for apparent singularities
An extended ansatz for canonical differential equations handles epsilon-dependent apparent singularities and yields an epsilon-factorized form for the four-loop Calabi-Yau Feynman integral relevant to 5PM black-hole scattering.