ε′/ε and rare KL decays from KTeV experiment

We update the current status for the measurement of the direct-CP violation parameters epsilon '/epsilon in the KTeV experiment at Fermilab. Substaintial statistics have been accumulated during the 1996-7 run and 1999 run for both epsilon '/epsilon and rare K-L decay searches. The first KTeV result on epsilon '/epsilon published last year was Re(epsilon '/epsilon) (28.0 +/- 4.1) x 10(-4) based on the 23% data from 1996-7 run. Combining with the previous E731, NA31 and the recent preliminary NA48 results, the grand average is Re(epsilon '/epsilon) = (19.3 +/- 3.6) x 10(-4) (with S = 1.49), more than 5 sigma above zero. More data from both KTeV and NA48 after completing the analysis will further improve the precision of this measurement in the near future and hopefully further improve the agreement. New results on the braching ratio and form factor measurements of K-L --> mu (+)mu (-)gamma using 1997 data are also presented. We find that BR(K-L --> mu (+)mu (-)gamma) = (3.66 +/- 004(stat) +/- 0.07(syst)) x 10(-7). The form factor parameter alpha (kappa)* is measured to be alpha (K)* = -0.157(-0.027)(+0.025) . We make the first measurement of the parameter a from the D'Ambrosio, Isidori, and Portoles form factor, finding alpha = -1.53 +/- 0.09. This measurement of alpha limits the CKM parameter rho > -0.2.