Rare K-decays and its strong constraints on the multiscale walking technicolor model

We calculate the one-loop Z(0)-penguin contributions to the rare K-decays, K (+) --> pi (+) nu<(nu)over bar>, K-L --> pi (0) nu<(nu)over bar> and K-L --> mu (+) mu (-), from the unit-charged pesudo-Goldstone bosons pi(1) and pi(8) in the framework of the Multiscale Walking Technicolor Model. We find that: (a) the pi(1) and pi(8) can provide one to three orders enhancements to the branching ratios of the rare K-decays under study; (b) the assumed mass ranges of the unit-charged PGBs in the Multiscale Walking Technicolor Model are excluded by the rare K-decay data. According to this and other re lavent studies, one finds that the Multiscale Walking Technicolor Model are conflict with the data and therefore excluded.