title: Bootstrapping a Five-Loop Amplitude Using Steinmann Relations.
abstract: The analytic structure of scattering amplitudes is restricted by Steinmann relations, which enforce the vanishing of certain discontinuities of discontinuities. We show that these relations dramatically simplify the function space for the hexagon function bootstrap in planar maximally supersymmetric Yang-Mills theory. Armed with this simplification, along with the constraints of dual conformal symmetry and Regge exponentiation, we obtain the complete five-loop six-particle amplitude.
authors.affiliation: Niels Bohr International Academy & Discovery Center, Niels Bohr Institute, University of Copenhagen, 2100 Copenhagen, Denmark.|Department of Physics, McGill University, 3600 Rue University, Montréal, Québec, Canada H3A 2T8.
authors.forename: Simon
authors.initials: S
authors.lastname: Caron-Huot
authors.affiliation: SLAC National Accelerator Laboratory, Stanford University, Stanford, California 94309, USA.|Kavli Institute for Theoretical Physics, UC Santa Barbara, Santa Barbara, California 93106, USA.
authors.forename: Lance J
authors.initials: LJ
authors.lastname: Dixon
authors.affiliation: SLAC National Accelerator Laboratory, Stanford University, Stanford, California 94309, USA.
authors.forename: Andrew
authors.initials: A
authors.lastname: McLeod
authors.affiliation: Perimeter Institute for Theoretical Physics, Waterloo, Ontario N2L 2Y5, Canada.
authors.forename: Matt
authors.initials: M
authors.lastname: von Hippel