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Search for the decay<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi>B</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup><mml:mo stretchy="false">→</mml:mo><mml:mi>ϕ</mml:mi><mml:mi>γ</mml:mi></mml:mrow></mml:math>
We have searched for the decay ${B}^{0}\ensuremath{\rightarrow}\ensuremath{\phi}\ensuremath{\gamma}$ using the full Belle data set of $772\ifmmode\times\else\texttimes\fi{}{10}^{6}$ $B\overline{B}$ pairs collected at the $\mathrm{\ensuremath{\Upsilon}}(4\text{S})$ resonance with the Belle detector at the KEKB ${e}^{+}{e}^{\ensuremath{-}}$ collider. No signal is observed, and we set an upper limit on the branching fraction of $\mathcal{B}({B}^{0}\ensuremath{\rightarrow}\ensuremath{\phi}\ensuremath{\gamma})<1.0\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}7}$ at the 90% …