The rare K-decays in the Multiscale Walking Technicolor Model

We calculate the one-loop Z(0)-penguin contributions to the rare K-decays, K+ --> pi(+)v (v) over bar; K-L --> pi(0)v (v) over bar and K-L --> mu(+)mu (-), from the unit-charged technipions pi(1) and pi(8) in the framework of the Multiscale Walking Technicolor Model. Mie find that: (a) the pi(1) and pi(8) can provide one to two orders enhancements to the branching ratios of the rare K-decays; (b) by comparing the experimental data of BT(K+ --> pi( +)v (v) over bar) with the theoretical prediction one finds the lower mass bounds, m(p8) greater than or equal to 249 GeV for F-Q = 40 GeV and m(p1) = 100 GeV (c) by comparing the experimental data of BT(K-L --> mu(+)mu(-)) w ith the theoretical predictions one finds the lower bounds on m(p1) and m(p 8), m(p1) greater than or equal to 210 GeV if only the contribution from pi (1) is taken into account, and m(p8) greater than or equal to 580 GeV for m (p1) = 210 GeV, assuming FQ = 40 GeV; (d) the assumed ranges of the masses m(p1) and m(p8) in the Multiscale Walking Technicolor Model are excluded by the rare K-decay data.