Speaker
Description
Next-generation high-energy colliders, including the HL-LHC, and proposed Higgs factories such as FCC-ee, ILC, and CEPC, aim to probe selected Higgs and electroweak observables at the per-mille level. Achieving the required theoretical precision demands NNLO electroweak predictions alongside high-order QCD corrections. However, complete NNLO EW calculations in the SM remain scarce, with a key bottleneck being the absence of a complete and reusable two-loop EW renormalization framework. In the first part of this talk, I will present our progress toward constructing and validating a complete two-loop on-shell EW renormalization framework for the SM. The discussion will cover mass, field, mixing, and charge renormalization constants, together with sub-loop renormalization, electroweak input schemes, and the treatment of unstable particles. The second part will focus on the framework’s first phenomenological application: the pure NNLO EW and mixed QCD-EW corrections to the fully inclusive decay width of the Higgs decay proccess $H \to b \bar{b}$. I will discuss the numerical impact and interplay of these corrections, examine their dependence on the EW input scheme, and compare independent implementations in the Feynman–'t Hooft and Landau gauges.
