Exclusive branching-fraction measurements of semileptonic tau decays into three charged hadrons, into phi pi(-)nu(tau), and into phi K(-)nu(tau)

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(tau(-)->pi(-)pi(-)pi(+)nu(tau)(ex.K(S)(0)))=(8.83 +/- 0.01 +/- 0.13)%, B(tau(-)-> K(-)pi(-)pi(+)nu(tau)(ex.K(S)(0)))=(0.273 +/- 0.002 +/- 0.009)%, B(tau(-)-> K(-)pi(-)K(+)nu(tau))=(0.1346 +/- 0.0010 +/- 0.0036)%, and B(tau(-)-> K(-)K(-)K(+)nu(tau))=(1.58 +/- 0.13 +/- 0.12)x10(-5), where the uncertainties are statistical and systematic, respectively. These include significant improvements over previous measurements and a first measurement of B(tau(-)-> K(-)K(-)K(+)nu(tau)) in which no resonance structure is assumed. We also report a first measurement of B(tau(-)->phi pi(-)nu(tau))=(3.42 +/- 0.55 +/- 0.25)x10(-5), a new measurement of B(tau(-)->phi K(-)nu(tau))=(3.39 +/- 0.20 +/- 0.28)x10(-5) and a first upper limit on B(tau(-)-> K(-)K(-)K(+)nu(tau)(ex.phi)).