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Limit on the<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:msup><mml:mi>ρ</mml:mi><mml:mn>0</mml:mn></mml:msup><mml:msup><mml:mi>ρ</mml:mi><mml:mn>0</mml:mn></mml:msup></mml:math>Branching Fraction and Implications for the Cabibbo-Kobayashi-Maskawa Angle<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>α</mml:mi></mml:math>

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We search for the decay B0→ρ0ρ0 in a data sample of about 227×106 Υ(4S)→B¯¯¯B decays collected with the BABAR detector at the PEP-II asymmetric-energy e+e− collider at SLAC. We find no significant signal and set an upper limit of 1.1×10−6 at 90% C.L. on the branching fraction. As a result, …