Quenched Chiral Perturbation Theory for Heavy-Light Mesons

Quenched chiral perturbation theory is extended to include heavy-light mesons. Non-analytic corrections to the decay constants, Isgur-Wise function and masses and mixing of heavy mesons are then computed. The results are used to estimate the error due to quenching in lattice computations of these quantities. For reasonable choices of parameters, it is found that quenching has a strong effect on $f_{B_s}/f_B$, reducing it by as much as $28\%$. The errors are essentially negligible for the Isgur-Wise function and the mixing parameter.