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t - p - p 0 n t decay at Belle. Tau08; Novosibirsk, 22-25, September, 2008 Hisaki Hayashii Nara women’s University. hadron. +CVC. Introduction. Hadronic decays of tau lepton provide clean environment for studying the dynamics of hadronic states. a s (s), a m , V us , m s
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t-p-p0nt decay at Belle Tau08; Novosibirsk, 22-25, September, 2008 Hisaki Hayashii Nara women’s University Tau08
hadron +CVC Introduction • Hadronic decays of tau lepton provide clean environment for studying the dynamics of hadronic states. as(s), am, Vus, ms • t-p-p0nt • has the largest Br • CVCrelation with e+e-→p+ p- • Plays an important role for the h. v. p. term in the muon anomalous magnetic moment. am=(gm-2)/2
not yet published not yet published preliminary Introduction(cont.) • Recent data indicate that there is a systematic difference between the 2psystem in e+e-reaction and t-decays, even after applying knowniso-spin violation correction. Main difference btw and is from 2p mode. ICHEP-2006(M.Davier et al.): am(exp)-am(th) is Ahint to New Physics beyond the SM!
What should be measured • In this talk, We present update results from Belle experiment based on 5.6x 106t-p-p0ntdecays (72.2/fb). • Branching Fraction • Mass Spectrum spectral function B-factory exp. : final state particles are separated well. c.f. LEP exp.
DATA unfolding(correct the detector effect) Unfolded p+p- distribution Extract pion form factor evaluation of the Analysis Procedure 72.2/fb event selection • e+e-t+t- selection • t-p-p0nt selection • Background subtraction • Unfolding • Br measurement • Extract pion form factor |Fp(s)|2 • Fit with Breit-Wigner Form • Evaluation of am event selection distribution unfolded distribution
Low multiplicity: Number of charged tracks:2 or 4, net charge=0 Rejection of Bhabha and m+m-; S|P|*< 9 GeV Physics background rejection: Use Missing Mass and Missing Angle information.(Bhabha,2photon) Low track and gamma multiplicity. (qq continuum) Event Selection e+e-t+t- Selection t-p-p0ntSelection charged track • one charged track in the event hemisphere. • one p0 in the event hemisphere. • No additional g with Eg≥200MeV • Tag-side condition: 1, 3 prong+ any g : For Br measurement 1 prong + no g : For mass spectrum p0
e+e-t+t- Selection Two photon Bhabham+m- Particle multiplicity
t-p-p0nt p0Signal Sideband region Signal region right: left: • Sideband region is used to estimate the non-p0 background Generally background free, but non-negligible BK In the low Mpp0 region. 5.6M events -Side band region: Dominated by the tail from true “p0” -Reproducing the signal shape by MC is important.
t-p-wnt(wp0g) m2ppdistribution • Thesignal level is different more than 4th order of magnitude betweenr(770) and r’’(1700). • Background • non-t B.G. • feed down B.G. Tau mass limit BG is important at threshold and r’’ region.
Some important features • New MC set • New t MC (include r” to TAUOLA MC) • More reliable estimate of continuum BG • Estimate continuum using BG enriched sample. • Require stronger cut for tag side • 1 charged track + no g • More reliable estimate of feed-down BG. some modes have small Br but dominate in the special region. i.e. threshold region • t-p-wnt(wp0g) • t-p-p0KLnt etc. • Systematic study • p0 side band, efficiency check
Acceptance Data are Unfolded with the Singular Value Decomposition (SVD) method. Acceptance (including tagging eff.)
Results • Br • Mass Spectrum • Pion form factor • Extract resonance Parameters • Comparison with previous exp. • Evaluation of am and iso-spin violation correction.
Belle 25.24 0.04 0.39 Result (1) Branching Fraction • Normalized to the number of t-pairs • Tau-pair selection acceptance : 32.6 0.05% : 1.1120.003 background : 7.8 0.03% • pp0 selection Acceptance: 41.0 0.1 % Background feed down: 7.02 0.08 % qq-conti. : 2.22 0.05 % • Br2p= (25.24 0.01(stat) 0.39(sys))%
Systematic on Br Measurement • Source Tracking efficiency 0.47 p0 efficiency 1.3 Background in t-pair 0.59 Feed down background 0.16 Continuum background 0.20 g veto 0.20 Trigger 0.32 MC statistics 0.08 Total 1.52 • Systematic is dominated by the uncertainty of the p0 efficiency and the BG in t-pair p0 • Calibrated by h signals ( ). • Checked by using electron tracks.
Number of entries /0.05 (GeV/c2)2 Result (2): Mass spectrum Unfolded Results Mass spectra = Phase space × Form Factor
2 F p Result (3) Pion Form Factor |Fπ|2 From 64M t+t-pairs, Belle selects 5.5M t-p-p0nt events! |Fπ|2 • Error bars include both statistical and systematic • Interference between r’ and r” • Fit with BW
Systematic on the mass distribution (1) • Unfolding procedure • Reproducibility of the signal. (UNF ①) • Unfolding condition : value±5 (UNF ②) • Acceptance (Accept.) • p0 efficiency uncertainty • Effect of g-track isolation • Change a cut on the cluster-track distance (default and tighter one(30cm)) • Momentum or energy scale (ENS) • Change Eg by it’s uncertainty estimated from the p0 mass peak position.(±0.2%)
Systematic on the mass distribution (2) • Background • Continuum BG (BKG ①) • estimate at the mass region higher than mt • uncertainty is estimated to be 10% • Feed down BG (BKG ②) • dominated by t-p-2p0nt • systematic is estimated by changing the Br in PDG by 1s • non-p0 BG (BKG ③) • dominated in the low (Mpp0)2region. • In this region, the size of the non-p0 background in the lower Mgg side is different between data and MC. This differences is corrected and the difference is included as a systematic.
0.10<(Mpp0)2<0.15 0.55<(Mpp0)2<0.60 Non-p0 background( details). p- p0 F=1 F=1.375 Mgg Mgg
Systematic on the Mass Spectrum/Form Factor ( %) by Toy MC Systematic Region Dominant Factor 0.7-1.8% r,r’ Energy scale/Unfolding 5% threshold Background (p0, feed down) 10% r’’ Continuum BG
Result(4)Resonance parameters • Fit with BW form r(770), r’(1400), r’’(1700) • Gounaris-Sakurai (GS) parameterization • 10 fit parameters • The normalization of the GS form is given by
Fit Results PDG2006 Hadron reaction t, e+e- 775.4 0.4 ± 766.5 1.1 ± 150.2 2.4 ± 146.4 1.1 ± fit with r’’ x2/ndf=80/(90-10) fit w/o r’’ x2/ndf=135/(90-6) Significance of r’’ : 6.5 s • All r, r’, r’’ resonance parameters are determined at the same time! Most precise
2 2 F F p p Comparison with previous exp. BELLE & ALEPH BELLE & CLEO Ref: Phys. Rep.421 (2005) 191 Ref: Phys. Rev. D61, 112002(2000) 1 • Agree with previous exp. of data. • Our result is more precise especially in high mass region.
Detailed Comparison:r, r’ region Fit: Fit to Belle Data • Belle-CLEO consistent, • ALEPH is higher at (Mpp)2 > 0.8 GeV2; Effect on am2p? i
Evaluation of am(2p) World average is calculated combining our new result
am (2p): contribution from each mass range X 10 -10 Belle> ALEPH Belle<ALEPH No iso-spin violation correction is applied Total
Iso-spin Violation Correction • Ref. V. Cirgliano et al., J. High Energy Phys. 08, 002(2002) A.Flores-Tlalpa et al., Phys. Rev. D 74, 071301 (2006) Source Correction Uncertainty Short distance rad. Cor (SEW) - 12.0 ± 0.2 Long distance rad. Cor.(GEM) - 1.0 mp- = mp0(in phase space) - 7.0 r-w interference + 3.5 ±0.6 mp- = mp0(in decay width) +4.2 Electromagnetic decays -1.4 ± 1.4 mr0 = mr– - ± 2.0 Total -13.7 ± 2.5 X10-10 FSR correction in e+e-Vg->p+p-g: +4.2 Total+FSR = -9.5 2.5 ±
Results (5) am (2p) • Integrated region: • After applying the known iso-spin violation correction. • Belle(t) • ALEPH, CLEO, OPAL (t) Ref. Eur. Phys. J. C27, 497 (2003) • CMD2,SND (e+e-) Ref. Nucl. Phys. Proc. Suppl. 169, 288 (2007) t results are higher than those from e+ e-.
Summary • We have studied t-p-p0ntusing high statistics Belle data • Br measurement: (1.6% accuracy) • Precise 2p mass spectrum and the pion form factor are determined. Wecan provide them by a table. • Inaddition to r(700), r’(1400),the production of r’’(1700) is unambiguously identified and its parameters are determined. • Our results for agree with the previous t based results but are higherthan those from e+ e-. The paper is accepted by PRD and will appear in Oct. issue. The results are accepted by PRD, will appear in Oct. issue.
Comparison :t-->p-p0nt and e+e-->p+p- • by F. Jegerlehner (private commun.)
r-w interference • r-w interference effects are estimated using following form for the amplitude.
Pion Form Factor |Fπ|2 (linear scale) Low mass region r mass region Error bars include both statistical and systematic
Systematic of resonance parameters (MeV) (MeV) (MeV)(MeV) (deg.) (MeV) (MeV) (deg.)
Belle detector Mt. Tsukuba Ares RF cavity KEKB Belle e+ source ~1 km in diameter The KEKB Collider SCC RF(HER) World record: L = 1.7118 x 1034/cm2/sec First successful op. of Crab cavities ARES(LER) 8 x 3.5 GeV 22 mrad crossing since 1999
Belle detector SC solenoid 1.5T Aerogel Cherenkov cnt. n=1.015~1.030 CsI(Tl)16X0 p0 mass resolution; sp 0 ~ 5 -8MeV 3.5 GeVe+ TOF counter Central Drift Chamber Tracking +dE/dx Small cell +He/C2H6 8 GeVe- Si vtx. det. 3 lyr. DSSD • / KL detection 14/15lyr. RPC+Fe Good tracking and particle identification