2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/177942We demonstrate that near the threshold, the pi pi scattering amplitude contains a pole with the quantum numbers of the vacuum - commonly referred to as the sigma - and determine its mass and width within small uncertainties. Our derivation does not involve models or parametrizations, but relies on a straightforward calculation based on the Roy equation for the isoscalar S-wave.Revtex, 4 pages, 2 figures, two refences added, minor text changes, version appeared in Phys. Rev. LettHigh Energy Physics - Phenomenologytext