Five-loop massless propagator integrals

Abstract

We develop a method to obtain $\epsilon$-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.

arXiv comment16 pages + references; results included in ancillary files

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Cited by in corpus (3)

• Critical exponents from five-loop scalar theory renormalization near six-dimensions
• Glue-and-Cut at Five Loops
• Landau-Khalatnikov-Fradkin Transformation and Even zeta Functions