The results of an extensive flavour physics analysis in the Littlest Higgs
model with T-parity are presented. In particular, mixing and CP-violation in
K^0 and B^0_{d,s} systems have been studied. Several scenarios defined by the
values of mirror quark masses and the parameters of the new flavour mixing
matrix V_Hd have been considered. A very interesting scenario is identified,
where the well-known kaon constraints are satisfied, the sin(2beta) and Delta
M_s issues are improved w.r.t the Standard Model and visible effects could be
soon found in A_SL^s and S_{psi phi}.Comment: 4 pages, 2 figures, talk given at ICHEP 2006, 26 July - 2 August,
Moscow (Russia
