Precision electroweak calculations are becoming increasingly important for probing the Higgs sector and searching for new physics. In this talk, I will present recent progress in analytic two-loop electroweak calculations at high energies [2603.08789] and corresponding multi-loop techniques. As a key example, I will discuss Higgs boson pair production, where NLO EW corrections reach the level of −10% at high energies. By exploiting the mathematical structure in this limit, we obtain more than one hundred expansion terms, enabling precise predictions in the phenomenologically relevant phase space region at the LHC.
I will further discuss how precise control of electroweak effects enables realistic probes of new physics. In particular, at future e+e- colliders such as FCC-ee, electroweak loop effects can significantly enhance observable deviations predicted in models with extended Higgs sectors [2509.05421].
These results demonstrate that advancements in electroweak calculations can translate into powerful tools for precision Higgs and BSM studies at current and future colliders.
Leandro Cieri