2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/199108``Three-mass triangles'' are a class of integral functions appearing in one-loop gauge theory amplitudes. We discuss how the complex analytic properties and singularity structures of these amplitudes can be combined with generalised unitarity techniques to produce compact expressions for three-mass triangle coefficients. We present formulae for the N=1 contributions to the n-point NMHV amplitude.22 pages; v3: NMHV n=point expression added. 7 point expression removedHigh Energy Physics - PhenomenologyAnalytic Structure of Three-Mass Triangle Coefficientstext