This thesis presents a search for the rare B meson decay B -> pi ll− (l=e or mu) using 428 fb−1 of data collected at the Upsilon(4S) resonance by the BaBar detector at the PEP-II asymmetric energy ee− storage rings located located at SLAC National Accelerator Laboratory in Menlo Park, California. Four exclusive modes are studied: B+ -> pi+ e+e−, B+ -> pi+ mu+mu−, B0 -> pi0 e+e−, and B0 -> pi0 mu+mu−. Branching fraction upper limits at the 90% confidence level are presented for the exclusive modes B+ -> pi+ mu+mu− and B0 -> pi0 mu+mu−, and the combined mode B -> pi mu+mu−.

The authors have performed a search for the flavor-changing neutral-current decays B →?ll−, where l+l− is either e+e− or?+?−, using a sample of 230 million?(4S) → B{bar B} decays collected with the BABAR detector. They observe no evidence of a signal and measure the upper limit on the isospin-averaged branching fraction to be?(B →?l+l−)

A search for the decay B{+-} {yields} a{sub 0}{sup {+-}}{pi}{sup 0} with the a{sub 0}{sup +} decaying to an {eta} and a {pi}{sup +} was carried out at the Stanford Linear Accelerator Center using the BABAR detector coupled with the PEP-II collider. The analysis used a data sample comprised of approximately 252 million B{bar B} pairs collected at the {Upsilon}(4S) resonance. No signal was observed and a 90% confidence level upper limit on the branching fraction was set at 1.32 x 10{sup -6}.

The authors present results of a search for the rare flavor-changing neutral-current decay B {yields} {pi}{ell}{sup +}{ell}{sup -}, based on a data sample corresponding to 209 fb{sup -1} of integrated luminosity collected with the BABAR detector at the PEP-II B Factory. They reconstruct the four exclusive B decay modes B{sup +} {yields} {pi}{sup +}{ell}{sup +}{ell}{sup -} and B{sup 0} {yields} {pi}{sup 0}{ell}{sup +}{ell}{sup -}, where {ell} is either an e or {mu}. They find no evidence for a signal, and they obtain the upper limit at 90% confidence level on the lepton-flavor-averaged branching fraction to be {Beta}(B{sup +} {yields} {pi}{sup +}{ell}{sup +}{ell}{sup -}) = 2 x {tau}B{sup +}/{tau}B{sup 0} {Beta}(B{sup 0} {yields} {pi}{sup 0}{ell}{sup +}{ell}{sup -})