English

Five-loop massless propagator integrals

High Energy Physics - Theory 2018-02-05 v1

Abstract

We develop a method to obtain ϵ\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.

Keywords

Cite

@article{arxiv.1802.00803,
  title  = {Five-loop massless propagator integrals},
  author = {Alessandro Georgoudis and Vasco Gonçalves and Erik Panzer and Raul Pereira},
  journal= {arXiv preprint arXiv:1802.00803},
  year   = {2018}
}

Comments

16 pages + references; results included in ancillary files