Five-loop massless propagator integrals


Authors:  Alessandro Georgoudis, Vasco Goncalves, Erik Panzer and Raul Pereira

Preprint number: UUITP-02/18

 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.