Dear Collaborators, I am posting my Ph.D thesis in its final-submission form. It was submitted to McGill University in early January 2000. The supervisor was Ken RAGAN. The title and the abstract of the thesis are given below. Best regards, Kostas KORDAS McGill University Montreal, Canada PS: Note that the analysis corresponds to the last blessed results (Sept. 10, 1999 B meeting), also documented in CDF-Note 5113 version 1.0 Search for Penguin Decays of B Mesons at CDF Using a data sample of integrated luminosity \int{L dt} = 28.9 +/- 1.2 pb^{-1} of proton-antiproton collisions at a center-of-mass energy \sqrt{s} = 1.8 TeV collected with the CDF detector at the Fermilab Tevatron collider, we searched for ``penguin'' radiative decays of B_{d}^{0} and B_{s}^{0} mesons which involve the flavor-changing neutral-current transition of a b quark into an s quark with the emission of a photon, b -> s gamma. Specifically, we searched for the decays B^{0}_{d} -> K^{*0} gamma, K^{*0} -> K^{+} pi^{-} and B^{0}_{s} -> phi gamma, phi -> K^{+} K^{-}, as well as for the charge conjugate chains. In order to collect such decays, we designed a specialized trigger which required information on all the decay products of the B meson decay chain, the first such trigger in a hadron collider environment. This ``penguin'' trigger collected data during the last quarter of the 1994 - 1996 data-taking period. After all selection criteria, we are left with one candidate B^{0}_{d} -> K^{*0} gamma, K^{*0} -> K^{+} pi^{-} decay and no B^{0}_{s} -> phi gamma, phi -> K^{+} K^{-} candidates in the entire data sample. We then proceed to set upper limits on the branching fractions of the penguin channels. We exploit the topological similarity between the B-bar -> e^{-} D^{0} X, D^{0} -> K^{-} pi^{+} and the penguin decays, by forming ratios of branching fractions between the penguin and the B-bar -> e^{-} D^{0} X channels. Uncertainties associated with the B meson production cross section, common efficiency corrections and other systematic effects are minimal in the ratio of branching fractions. The uncertainty on the B-bar -> e^{-} D^{0} X yield is the biggest contribution to the total uncertainty on the penguin branching fraction. We assume equal production rates for B_{u}^{+} and B_{d}^{0} mesons, while the probability of producing B_{s}^{0} mesons relative to B_{d}^{0} mesons, f_s/f_d, is taken to be 1/3. The inferred upper limits on the ratios of branching fractions are Br(B^{0}_{s} -> phi gamma) -------------------------- < 3.5 x 10^-3 at 90% CL Br(B-bar -> e^{-} D^{0} X) Br(B^{0}_{d} -> K^{*0} gamma) ----------------------------- < 1.9 x 10^-3 at 90% CL Br(B-bar -> e^{-} D^{0} X) Relative branching fraction measurements were combined with the branching fraction measurement of the B-bar -> e^{-} D^{0} X, D^{0} -> K^{-} \pi^{+} decay chain, Br(B-bar -> e^{-} D^{0} X) \times Br(D^{0} -> K^{-} \pi^{+}) = (294 +/- 40) \times 10^{-5}, to extract the following absolute branching fraction limits Br(B^{0}_{s} -> phi gamma) < 2.8 x 10^-4 at 90% CL Br(B^{0}_{d} -> K^{*0} gamma) < 1.5 x 10^-4 at 90% CL The upper limit for the B^{0}_{d} -> K^{*0} gamma decay is consistent with the branching fraction measurement reported by the CLEO collaboration, Br(B^{0}_{d} -> K^{*0} gamma) = (4.0 +/- 1.9) x 10^-5, while the upper limit for the as yet unobserved B^{0}_{s} -> phi gamma decay is the most constraining one set to date. Posted to /cdf/pub/thesis/cdf5228_gkstar_thesis_kordas.ps http://www-cdf.fnal.gov/thesis/cdf5228_gkstar_thesis_kordas.ps Posted by kordas@cdfsga.fnal.gov