2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/116264We report on a high-precision calculation of the Bhabha process in QED, of interest for precise luminosity determination of low-energy electron-positron colliders. The calculation is based on the matching of exact next-to-leading order corrections with a Parton Shower algorithm. The structure of the algorithm (implemented in an improved version of the event generator BABAYAGA) is illustrated, with a discussion on the resulting theoretical uncertainty, of the order of 0.1 %.4 pages. Talk given at the XXXIII International Conference on High Energy Physics, ICHEP06, Moscow, 26 July - 02 August, 2006High Energy Physics - PhenomenologyMatching Parton Shower and matrix elements in QEDtext