Speaker
Description
After the discovery of the Higgs boson at LHC in 2012, the precision test of the SM and search for new physics beyond the SM have become two most important research areas in the field of high-energy particle physics. This presentation focuses on these two areas, providing an in-depth investigation of the NNLO mixed QCD-EW corrections to the production of the SM gauge boson pair and THDM charged Higgs pair at electron-positron colliders. Utilizing the canonical differential equation method, we analytically calculate all two-loop MIs involved in the mixed QCD-EW corrections and express them in terms of Goncharov polylogarithms. Building on these analytic results, we efficiently calculate the integrated and differential cross sections of $W$-pair and $H^+H^-$ productions, accompanied by detailed phenomenological analyses. Our numerical results reveal that the mixed QCD-EW corrections can reach up to $1\%$ for both $W$-pair and $H^+H^-$ production, underscoring their significant impact when compared with anticipated high-precision experimental data.