2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/201862We use the leading singularity technique to determine the planar three-loop five-particle amplitude in N=4 super Yang-Mills in terms of a simple basis of integrals. We analytically compute the integral coefficients for both the parity-even and the parity-odd parts of the amplitude. The parity-even part involves only dual conformally invariant integrals. Using the method of obstructions we numerically evaluate two previously unfixed coefficients which appear in the three-loop BDS ansatz.20 pages, 2 figures, v2: very minor changesHigh Energy Physics - Theorytext