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hadronic @xmath11 decays with kaons provide a good probe for the strange sector of a weak charged current .
the decays of @xmath12 and @xmath13 are cabibbo suppressed decay . from the study of these modes
, one can determine the strange quark mass and the ckm matrix of @xmath14 .
on the other hand , the decay of @xmath15 , including @xmath16 occurs through a vector and axial - vector current .
therefore , it is sensitive to the wess - zumino anomaly for su(3)@xmath17su(3)@xmath18 .
this study was performed at the kekb asymmetric - energy @xmath2 collider  @xcite with the belle detector  @xcite .
the kekb collider has realized the world - highest luminosity of @xmath19@xmath20s@xmath1 .
the belle detector shows good particle identification ( pid ) ability .
pid is based on the energy deposit and shower shape in the electromagnetic calorimeter , the momentum and @xmath21 measured in the drift chamber , the particle range in the muon chamber , the light yield in the aerogel threshold cherenkov counters , and the particle s time - of - flight from the tof counter  @xcite .
the efficiency and fake rate for kaon identification is about 90% and 6% , respectively .    in following studies ,
the detection efficiency for each signal mode and the amount of the background ( bg ) contribution are estimated from the data itself as well as monte carlo ( mc ) simulations . to generate signal events as well as
@xmath11-decay originated background , the kkmc program  @xcite is used .
the background from the @xmath22 process is simulated using evtgen  @xcite .
the detector response is simulated by a geant3  @xcite based program .
in the analysis , we select 3 - 1 topology events divided by the thrust axis , and require no energetic photon on the 3-prong signal side . the large amount of @xmath23 and two - photon bg processes are removed by requiring the missing energy to be due to the @xmath11 neutrinos in the signal candidates , and the lepton on the tag side .
we apply the kaon identification to the charged particles on the signal side and categorize the final state .
the main bg source after event selection is the @xmath11 decays with a mis - identified pion as a kaon .
therefore , in order to suppress the systematic uncertainty , we analyze the cross - feed bg events simultaneously .
figures  [ fig : m3h ] show the invariant mass distributions of @xmath24 , @xmath25 and @xmath26 for samples with the corresponding pid selection , using data of 669fb@xmath1 .
the contribution of @xmath23 and two - photon processes are found to be negligible from a mc estimation .
the decays of @xmath12 and @xmath13 have large bg contributions due to a mis - identification of kaons . on the other hand ,
the result of @xmath15 shows less bg because of a relatively high branching fraction .    ,
( b ) @xmath25 and ( c ) @xmath26 .
cross points are data .
histograms indicate the bg distributions estimated by mc for @xmath27 ( open ) , @xmath28 ( light gray ) , @xmath29 ( hatched ) and other bg modes ( dark gray ) .
, width=642 ]    considering the cross - feed contributions between @xmath27 , @xmath30 , @xmath31 and @xmath32 , we evaluate the branching ratios ( br ) by solving the relation of the number of events using a matrix of efficiencies and fake rates , given in table  [ tbl : efficiencytable ] . the correlation matrix and the number of other bg events
are evaluated by using mc samples .
.summary of the efficiencies and fake rates . [ cols="<,^,^,^,^ " , ]     with the normalization correction by leptonic @xmath11 decays and a systematic error evaluation , we obtain a preliminary result of br for @xmath12 as @xmath33 , together with @xmath34 and @xmath35 .
the dominant systematic uncertainty is an estimation of the track - finding efficiency , 3.2% .
our result is consistent with the world average in pdg2006  @xcite .
we study @xmath16 with data of 545fb@xmath1 by requiring the decay @xmath37 exclusively .
the signal yield is evaluated using the invariant mass distribution of @xmath38 with an additional selection of the @xmath39 momentum , @xmath40gev/@xmath41 , and the @xmath42 system momentum , @xmath43gev/@xmath41 , in the center - of - mass ( cm ) system .
after all selections , @xmath44 events remain , as shown in fig .
[ fig : mkstar](a ) .
a clear @xmath3 peak can be seen .
for the selection of ( a ) @xmath16 and ( b ) @xmath45 .
the solid curve shows the fitted result . in figure ( a ) ,
the dashed , dot - dashed and dotted curves indicate the spectra of the interference term , the inverse of interference term and the non - resonant term , respectively . in figure ( b ) , the dotted and dash - dotted curves indicate @xmath46 contamination and the non-@xmath39 bg . ,
width=453 ]    the dominant bg is from other @xmath11 decay modes .
the largest component , composing @xmath47% of the bg , arises from @xmath48 and @xmath49 through kaon mis - identification and an undetected @xmath50 .
we evaluate the contamination in the @xmath51 samples , from data samples by replacing the kaon selection by the pion , and taking into account the pid fake rate .
another @xmath52% of bg is from @xmath53 , @xmath54 ( excluding @xmath39 ) , @xmath55 and non - resonant @xmath31 , and is estimated by mc .
a possible peaking bg is @xmath56 ; however , this has not been measured yet . in order to measure the br , @xmath57
, we apply the same criteria as that for the @xmath58 , but with additional requirements of @xmath50 .
figure  [ fig : mkstar](b ) shows the @xmath38 mass distribution for @xmath45 .
the large peaking bg is from @xmath16 with fake photons due to a hadronic shower in the calorimeter . by applying a fit with the breit - wigner ( bw ) function for the @xmath3 yield and the landau function for combinatorial bg
, we obtain a signal yield of @xmath59 events after subtracting the peaking bg s of @xmath60 events .
the signal efficiency is 0.54% . as a result
, we obtain the first measurement of the br , @xmath61 .
after the bg evaluation , we perform a fit to the @xmath38 mass distribution , with the following function : @xmath62 , where @xmath63 is the invariant mass of @xmath38 , @xmath64 is the phase space and kinematical factor , @xmath65 is the bw function for @xmath3 , considering the spin , parity and damping factor discussed in the lass  @xcite and focus  @xcite .
the term @xmath66 is the non - resonant @xmath67 scalar amplitude , @xmath68 , where @xmath69 is the momentum in the @xmath38 center of mass and @xmath70 is the phase - shift , given by lass  @xcite and focus  @xcite .
the term @xmath71 is the incoherent continuum and peaking bg s .
the free parameters in the @xmath72-fits are @xmath73 , @xmath74 , the @xmath3 mass ( @xmath75 ) , width ( @xmath76 ) , and the relative phase , @xmath77 .
we obtain the fit result as shown in fig .
[ fig : mkstar](a ) and the br of @xmath78 with a non - resonant @xmath31 br of @xmath79 .
the dominant systematic uncertainty is the errors of the track - finding and the pid efficiencies .
we have measured @xmath80 in 5.9% precision , which is the most precise measurement ever obtained .
the non - resonant @xmath81 contribution is @xmath82% , which agrees well with the focus result of @xmath83% .
the mass and width of @xmath3 are obtained as @xmath8  mev/@xmath9 and @xmath10  mev .
those are the first results using @xmath11 decay , and are consistent with the result of focus experiment  @xcite .
we have studied hadronic tau decays to the final state with three charged hadrons using @xmath84 @xmath11-pairs .
we evaluate the br of @xmath12 , @xmath81 and @xmath85 , simultaneously , in order to reduce the systematic uncertainty of the cross - feed bg s , and obtain the preliminary result as follows : @xmath86 these results are consistent with the pdg average  @xcite .
we study @xmath87 and perform a fit to the @xmath3 mass distribution by considering the interference between the bw and the non - resonant amplitudes .
we also measure the br of @xmath88 .
the following br s , mass and width of @xmath3 are obtained : @xmath89 the high statistical data enable us to measure br precisely as well as the @xmath3 mass and width for the first time using @xmath11 decays .
we thank the kekb group for the excellent operation of the accelerator , the kek cryogenics group for the efficient operation of the solenoid , and the kek computer group and the national institute of informatics for valuable computing and sinet3 network support .
we acknowledge support from the ministry of education , culture , sports , science , and technology of japan and the japan society for the promotion of science ; the australian research council and the australian department of education , science and training ; the national natural science foundation of china under contract no .
10575109 and 10775142 ; the department of science and technology of india ; the bk21 program of the ministry of education of korea , the chep src program and basic research program ( grant no . r01 - 2005 - 000 - 10089 - 0 , r01 - 2008 - 000 - 10477 - 0 ) of the korea science and engineering foundation ; the polish state committee for scientific research ; the ministry of education and science of the russian federation and the russian federal agency for atomic energy ; the slovenian research agency ; the swiss national science foundation ; the national science council and the ministry of education of taiwan ; and the u.s.department of energy .
this work is supported by a grant - in - aid for science research on priority area ( mass origin and supersymmetry physics , new development of flavor physics ) from the ministry of education , culture , sports , science and technology of japan .
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we present a study of hadronic tau decays , especially decay into three - hadron final states with kaon(s ) , using more than @xmath0fb@xmath1 of data collected with the belle detector at the kekb asymmetric - energy @xmath2 collider . 
 we measure the branching ratios both inclusively and exclusively while considering the intermediated states of @xmath3 . 
 the following results are obtained : @xmath4 , @xmath5 , @xmath6 and @xmath7 . 
 we also measure the mass and width of the @xmath3 resonance as @xmath8  mev/@xmath9 and @xmath10  mev , which are the first results obtained using @xmath11 decay .