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Evidence for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mi>B</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:mo>→</mml:mo><mml:msup><mml:mover accent="true"><mml:mi>K</mml:mi><mml:mo>¯</mml:mo></mml:mover><mml:mn>0</mml:mn></mml:msup><mml:msup><mml:mi>K</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:math>and<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:…
We present evidence for the $b\ensuremath{\rightarrow}d$ penguin-dominated decays ${B}^{+}\ensuremath{\rightarrow}{\overline{K}}^{0}{K}^{+}$ and ${B}^{0}\ensuremath{\rightarrow}{K}^{0}{\overline{K}}^{0}$ in $227\ifmmode\times\else\texttimes\fi{}{10}^{6}$ $\ensuremath{\Upsilon}(4S)\ensuremath{\rightarrow}B\overline{B}$ decays collected with the BABAR detector. We measure the branching fractions $\mathcal{B}({B}^{+}\ensuremath{\rightarrow}{\overline{K}}^{0}{K}^{+})=(1.5\ifmmode\pm\else\textpm\fi{}0.5\ifmmode\pm\else\textpm\fi{}0.1)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}6}(<2.4\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}6})$ and $\mathcal{B}({B}^{0}\ensuremath{\rightarrow}{K}^{0}{\overline{K}}^{0})=({1.19}_{\ensuremath{-}0.35}^{+0.40}\ifmmode\pm\else\textpm\fi{}0.13)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}6}$, where the uncertainties are statistical and systematic, respectively. We also present improved measurements of the charge-averaged branching fraction $\mathcal{B}({B}^{+}\ensuremath{\rightarrow}{K}^{0}{\ensuremath{\pi}}^{+})=(26.0\ifmmode\pm\else\textpm\fi{}1.3\ifmmode\pm\else\textpm\fi{}1.0)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}6}$ and $CP$-violating charge …