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Exclusive Branching-Fraction Measurements of Semileptonic<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>τ</mml:mi></mml:math>Decays into Three Charged Hadrons, into<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>φ</mml:mi><mml:msup><mml:mi>π</mml:mi><mml:mo>−</mml:mo></mml:msup><mml:msub><mml:mi>ν</mml:mi><mml:mi>τ</mml:mi></mml:msub></mml:math>, and into<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline…
Using a data sample corresponding to an integrated luminosity of 342 fb−1 collected with the BABAR detector at the SLAC PEP-II electron-positron storage ring operating at a center-of-mass energy near 10.58 GeV, we measure B(τ−→π−π−π+ντ(ex.KS0))=(8.83±0.01±0.13)%, B(τ−→K−π−π+ντ(ex.KS0))=(0.273±0.002±0.009)%, B(τ−→K−π−K+ντ)=(0.1346±0.0010±0.0036)%, and B(τ−→K−K−K+ντ)=(1.58±0.13±0.12)×10−5, where the uncertainties are statistical and systematic, respectively. These include significant …