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Vector-Tensor and Vector-Vector Decay Amplitude Analysis of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mi>B</mml:mi><mml:mn>0</mml:mn></mml:msup><mml:mo>→</mml:mo><mml:mi>φ</mml:mi><mml:msup><mml:mi>K</mml:mi><mml:mrow><mml:mo>*</mml:mo><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:math>
We perform an amplitude analysis of the decays B0→ϕK∗2(1430)0, ϕK∗(892)0, and ϕ(Kπ)0S−wave with a sample of about 384×106 B¯¯¯B pairs recorded with the BABAR detector. The fractions of longitudinal polarization fL of the vector-tensor and vector-vector decay modes are measured to be 0.853+0.061−0.069±0.036 and 0.506±0.040±0.015, respectively. Overall, twelve parameters are …