Search for b\to u Transitions in \Bz \to \Dz \Kstarz Decays

We present a study of the decays B{sup 0} {yields} D{sup 0} K*{sup 0} and B{sup 0} {yields} {bar D}{sup 0} K*{sup 0} with K*{sup 0} {yields} K{sup +}{pi}{sup -}. The D{sup 0} and the {bar D}{sup 0} mesons are reconstructed in the final states f = K{sup +} {pi}{sup -}, K{sup +}{pi}{sup -}{pi}{sup 0}, K{sup +}{pi}{sup -}{pi}{sup +}{pi}{sup -} and their charge conjugates. Using a sample of 465 million B{bar B} pairs collected with the BABAR detector at PEP-II asymmetric-energy e{sup +}e{sup -} collider at SLAC, we measure the ratio R{sub ADS} {triple_bond} [{Lambda}({bar B}{sup 0} {yields} [f]{sub D}{bar K}*{sup 0}) + {Lambda}(B{sup 0} {yields} [{bar f}]{sub D}K*{sup 0})]/[{Lambda}({bar B}{sup 0} {yields} [{bar f}]{sub D}{bar K}*{sup 0}) + {Lambda}(B{sup 0} {yields} [f]{sub D}K*{sup 0})] for the three final states. We do not find significant evidence for a signal and set the following limits at 95% probability: R{sub ADS}(K{pi}) < 0.244, R{sub ADS}(K{pi}{pi}{sup 0}) < 0.181 and R{sub ADS}(K{pi}{pi}{pi}) < 0.391. From the combination of these three results, we find that the ratio r{sub S} between the b {yields} u and the b {yields} c amplitudes lies in the range [0.07; 0.41] at 95% probability.