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Search for Lepton-Flavor and Lepton-Number Violation in the Decay<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mi>τ</mml:mi><mml:mo>−</mml:mo></mml:msup><mml:mo>→</mml:mo><mml:msup><mml:mi>ℓ</mml:mi><mml:mo>∓</mml:mo></mml:msup><mml:msup><mml:mi>h</mml:mi><mml:mo>±</mml:mo></mml:msup><mml:msup><mml:mi>h</mml:mi><mml:mrow><mml:mo>′</mml:mo><mml:mo>−</mml:mo></mml:mrow></mml:msup></mml:math>
A search for lepton-flavor and lepton-number violation in the decay of the tau lepton into one charged lepton and two charged hadrons is performed using 221.4 fb−1 of data collected at an e+e− center-of-mass energy of 10.58 GeV with the BABAR detector at the SLAC PEP-II storage ring. In all …