Manifestation of a singlet heavy up-type quark in the branching ratios of rare decays K to π ν bar{ν}, B to π ν bar{ν} and B to K ν bar{ν}

We investigate the implications of the model with a SU(2)-singlet up-type quark, heavy enough not to be produced at the LHC, namely, the contribution of the new quark to the branching ratios of the K to \pi \nu \bar{\nu}, B to \pi \nu \bar{\nu} and B to K \nu \bar{\nu} decays. We show that the deviation from the Standard Model can be up to 10% in the case of a 5 TeV quark. Precise measurements of these branching ratios at the future experiments will allow to observe the contributions of the new quark or to impose stronger constraints on its mass.