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This dissertation presents measurements of time-dependent CP violating asymmetries in the decays B{sup 0} {yields} K{sub s}{sup 0}{pi}{sup 0} and B{sup 0} {yields} K{sub s}{sup 0}{pi}{sup 0}{gamma} based on RUN 1-4 data collected with the BABAR detector at the {Upsilon}(4S) resonance operating at the PEP-II asymmetric e{sup +}e{sup -} collider at SLAC. It was found that the CP violating asymmetry parameters are S{sub K{sub s}{pi}{sup 0}} = 0.35{sub -0.33}{sup +0.30}(stat) {+-} 0.04(syst), C{sub K{sub g}{pi}{sup 0}} = 0.06 {+-} 0.18(stat) {+-} 0.03(syst), S{sub K{sub s}{pi}{sup 0}{gamma}} = 0.9 {+-} 1.0(stat) {+-} 0.2(syst) and C{sub K{sub s}{pi}{sup 0}{gamma}} = -1.0 {+-} 0.5(stat) {+-} 0.2(syst), where B{sup 0} {yields} K{sup +0}{gamma} decays correspond to the K{sub s}{pi}{sup 0} invariant mass interval of [0.8,1.0] GeV and B{sup 0} {yields} K{sub s}{sup 0}{pi}{sup 0}{gamma} of [1.1,1.8] GeV. All results are consistent with the Standard Model predictions

Search for Physics Beyond the Standard Model Using Measurements of CP Violating Asymmetries in Rare B Decays: B0 to K0(S) Pi0 and B0 to K0(S) Pi0 Gamma