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Search for the Rare Decay<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>B</mml:mi><mml:mo>→</mml:mo><mml:mi>π</mml:mi><mml:msup><mml:mi>l</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:msup><mml:mi>l</mml:mi><mml:mo>−</mml:mo></mml:msup></mml:math>
We have performed a search for the flavor-changing neutral-current decays B→πℓ+ℓ−, where ℓ+ℓ− is either e+e− or μ+μ−, using a sample of 230×106 Υ(4S)→B¯¯¯B decays collected with the BABAR detector. We observe no evidence of a signal and measure the upper limit on the isospin-averaged branching fraction to be B(B→πℓ+ℓ−)<9.1×10−8 …