2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/228780We perform a first-principles semi-classical computation of the one-loop corrections to the dispersion relation and S-matrix of Giant Magnons in AdS_5 x S^5 string theory. The results agree exactly with expectations based on the strong coupling expansion of the exact Asymptotic Bethe Ansatz equations. In particular we reproduce the Hernandez-Lopez term in the dressing phase.47 pages, 2 figures. References added, to be submitted to JHEPHigh Energy Physics - TheoryQuantum Scattering of Giant Magnonstext