KK MC 4.22: CEEX EW Corrections for f\bar{f}\rightarrow f'\bar{f'} at LHC and Muon Colliders

We present the upgrade of the coherent exclusive (CEEX) exponentiation realization of the Yennie-Frautschi-Suura (YFS) theory used in our Monte Carlo ({\cal KK} MC) to the processes f\bar{f}\rightarrow f’\bar{f’}, f=\mu,\tau,q,\nu_\ell, f’=e,\mu,\tau,q,\nu_\ell, q=u,d,s,c,b,t, \ell=e,\mu,\tau with f\ne f’, with an eye toward the precision physics of the LHC and possible high energy muon colliders. We give a brief summary of the CEEX theory in comparison to the older (EEX) exclusive exponentiation theory and illustrate theoretical results relevant to the LHC and possible muon collider physics programs.