Perturbation Theory at Eight Loops: Novel Structures and the Breakdown of Manifest Conformality in N=4 Supersymmetric Yang-Mills Theory

Jacob L. Bourjaily, Paul Heslop, Vuong Viet Tran

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27 Scopus citations

Abstract

We use the soft-collinear bootstrap to construct the 8-loop integrand for the 4-point amplitude and 4-stress-tensor correlation function in planar maximally supersymmetric Yang-Mills theory. Both have a unique representation in terms of planar, conformal integrands grouped according to a hidden symmetry discovered for correlation functions. The answer we find exposes a fundamental tension between manifest locality and planarity with manifest conformality not seen at lower loops. For the first time, the integrand must include terms that are finite even on-shell and terms that are divergent even off-shell (so-called pseudoconformal integrals). We describe these novelties and their consequences in this Letter, and we make the full correlator and amplitude available as part of the Supplemental Material.

Original languageEnglish (US)
Article number191602
JournalPhysical review letters
Volume116
Issue number19
DOIs
StatePublished - May 11 2016

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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