2015/12/24 by Jacob L. Bourjaily, Paul Heslop, Vuong-Viet Tran · 67 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics #Particle physics theoretical and experimental studies #Perturbation theory (quantum mechanics) #Physics #Quantum Chromodynamics and Particle Interactions #hep-th
paper · pdf · doi:10.1103/physrevlett.116.191602
published in Physical Review Letters 116(19), 191602 (American Physical Society) · 4+1 pages, 5 figures, and 2 tables. Included with the submission is a Mathematica package and notebook with the complete details of the results
arxiv created 2015/12/24 · openalex publication_date 2016/05/11 · arxiv updated 2016/05/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.