Five-loop massless propagator integrals

We develop a method to obtain ϵ-expansions of massless two-point integrals in position space, based on the constraints implied by symmetries of the asymptotic expansion of conformal four-point integrals. Together with parametric integration, we are able to fix the expansions of 170 genuine five-loop...

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Bibliographic Details
Main Authors: Georgoudis, A, Gonçalves, V, Panzer, E, Pereira, R
Format: Working paper
Published: 2018
Description
Summary:We develop a method to obtain ϵ-expansions of massless two-point integrals in position space, based on the constraints implied by symmetries of the asymptotic expansion of conformal four-point integrals. Together with parametric integration, we are able to fix the expansions of 170 genuine five-loop master integrals. In particular, we computed the expansions of all planar master integrals up to transcendental weight 9.