Measurement of the branching fractions and the invariant mass distributions for {tau}{sup -{yields}}h{sup -}h{sup +}h{sup -{nu}}{sub {tau}}decays
We present a study of {tau}{sup -{yields}{pi}-{pi}+{pi}-{nu}}{sub {tau}}, {tau}{sup -{yields}}K{sup -{pi}+{pi}-{nu}}{sub {tau}}, {tau}{sup -{yields}}K{sup -}K{sup +{pi}-{nu}}{sub {tau}}, and {tau}{sup -{yields}}K{sup -}K{sup +}K{sup -{nu}}{sub {tau}} decays using a 666 fb{sup -1} data sample collected with the Belle detector at the KEKB asymmetric-energy e{sup +}e{sup -} collider at and near a center-of-mass energy of 10.58 GeV. The branching fractions are measured to be B({tau}{sup -{yields}{pi}-{pi}+{pi}-{nu}}{sub {tau}})=(8.42{+-}0.00{sub -0.25}{sup +0.26})x10{sup -2}, B({tau}{sup -{yields}}K{sup -{pi}+{pi}-{nu}}{sub {tau}})=(3.30{+-}0.01{sub -0.17}{sup +0.16})x10{sup -3}, B({tau}{sup -{yields}}K{sup -}K{sup +{pi}-{nu}}{sub {tau}})=(1.55{+-}0.01{sub -0.05}{sup +0.06})x10{sup -3}, and B({tau}{sup -{yields}}K{sup -}K{sup +}K{sup -{nu}}{sub {tau}})=(3.29{+-}0.17{sub -0.20}{sup +0.19})x10{sup -5}, where the first uncertainty is statistical and the second is systematic. These branching fractions do not include contributions from modes in which a {pi}{sup +{pi}-} pair originates from a K{sub S}{sup 0} decay. We also present the unfolded invariant mass distributions for these decays.