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We search for the decays B0->rho0rho0, B0->rho0f0, and B0->f0f0
in a sample of about 348 million Upsilon(4S)->BBbar decays
collected with the BABAR detector at the PEP-II asymmetric-energy
e+e- collider at SLAC. We find evidence for B0->rho0rho0 with
3.0 sigma significance and measure the branching fraction
B = (1.16 +0.37-0.36 +-0.27) 10^{-6} and longitudinal polarization
fraction f_L = 0.86 +0.11-0.13 +-0.05. As a consequence,
the uncertainty on the CKM unitarity angle alpha due to penguin
contributions in B->rhorho decays is estimated to be 18 degrees
at 1 sigma level. We also set upper limits on the B0->rho0f0 and
B0->f0f0 decay rates. All results are preliminary.
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