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We report the results of a search for the decay $B^0 \to X(3872)(\to J/\psi \pi^+ \pi^-) \gamma$. The analysis is performed on a data sample corresponding to an integrated luminosity of and containing $772 \times 10^6 B\bar{B}$ pairs, collected with the Belle detector at the KEKB asymmetric-energy collider running at the resonance energy. We find no evidence for a signal and place an upper limit of $(B^0 \to X(3872)\gamma)\times (X(3872) \to J/\psi \pi^+ \pi^-) < 5.1 \times 10^{-7}$ at 90% confidence level.

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