John Haley "Zoot" Sims (October 29, 1925 – March 23, 1985) was an American jazz saxophonist, playing mainly tenor but also alto (and, later, soprano) saxophone. He first gained attention in the "Four Brothers" sax section of Woody Herman's big band, afterward enjoying a long solo career, often in partnership with fellow saxmen Gerry Mulligan and Al Cohn.