BabaYaga@NLO at present and future $e^{+}{e}^{-}$ colliders. Celebrating 25 years of BabaYaga

Abstract

Precise QED radiative corrections for low- and high-energy electron-positron colliders are essential for accurate simulations of luminosity processes and precision tests of the Standard Model. We review the historical formulation and the recent developments of the BabaYaga@NLO event generator, which implements a QED Parton Shower matched with fixed-order calculations. We discuss the theoretical formulation of the code, as well as the assessment of its theoretical accuracy. Applications at low- and high-energy $e^{+}{e}^{-}$ colliders are presented, including latest result, together with the perspectives for future improvements, in view of the demanding precision requirements of future machines at the intensity frontier.

11 pages, 2 tables. Presented at Matter To The Deepest Recent Developments In Physics Of Fundamental Interactions XLVI International Conference of Theoretical Physics, 14-19 September 2025, Katowice, Poland