  The effects of possible right-handed weak hadronic currents in rare exclusive
semileptonic decays B -> (K, K*) nu bar{nu} are investigated using a
lattice-constrained dispersion quark model for the calculation of the relevant
mesonic form factors. The results obtained for the branching ratios and the
missing energy spectra are presented and the sensitivity of various observables
to long-distance physics is investigated. It is shown that the asymmetry of
transversely polarized K*(T) mesons as well as the K / K*(T) production ratio
are only slightly sensitive to long-distance contributions and mostly governed
by the relative strength and phase of right-handed currents. In particular,
within the Standard Model the production of right-handed K*(T) mesons turns out
to be largely suppressed with respect to left-handed ones, thanks to the
smallness of the final to initial meson mass ratio. Therefore, the measurement
of produced right-handed K*(T) mesons in rare B -> K* nu bar{nu} decays offers
a very interesting tool to investigate right-handed weak hadronic currents.
