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ALEPH Results on Branching Ratios and Spectral Functions. Michel Davier Laboratoire de l’Accélérateur Linéaire, Orsay. Tau Workshop 2004 September 1 4 - 17 , 2004, Nara , Japan. davier@lal.in2p3.fr. Final ALEPH Analysis.
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ALEPH Results on Branching Ratios and Spectral Functions Michel Davier Laboratoire de l’Accélérateur Linéaire, Orsay Tau Workshop 2004 September 14 - 17, 2004, Nara, Japan davier@lal.in2p3.fr M. Davier – ALEPH Results
Final ALEPH Analysis • only 91-93 data published for branching ratios, 91-94 for spectral functions • 94-95 statistics x1.5 91-93 • selection efficiencies obtained from data for each topology • improved photon ID better separation between good and fake photons • new method to correct the number of fake photons (hadron interactions in ECAL • and splitting of EM showers) in MC simulation • reduced feedthrough in low BR channels • improved methods for the estimation of systematic uncertainties Final analysis of the complete LEP 1 data sample Detailed publication available shortly M. Davier – ALEPH Results
Event Selection and non- Background • events selected by vetoing backgrounds • total energy: Bhabhas, -pairs • pT balance, low visible energy: -induced processes • high multiplicity: Z qq • Break-mix method to determine efficiency on data for every selection cut • tag one hemisphere to get sample unbiased/cut • keep opposite hemisphere as unbiased decay • construct event sample with pairs of selected hemispheres • apply cut and measure efficiency (small correlations taken from MC) • event selection efficiency 79% (92% in polar acceptance, 5% / modes) • Non- background measured on data sample for leptonic channels, • from MC for hadronic channels (-induced, 4-fermion, qq) • kept relatively high (1.2%) to retain large efficiency M. Davier – ALEPH Results
Photon ID Collimated decays granularity - transverse: 75,000 ECAL cells - 3-fold longitudinal segmentation fake photons data MC good Likelihood method probability to be a good photon, discriminating variables to distinguish good/fake photons Large improvement compared to published results on 91-93 data M. Davier – ALEPH Results
Decay Classification • e e ID, not in ECAL cracks • ID, P2 GeV • hadronic channels • - 0 reconstruction: 2 resolved photons + kimenatic fit • merged photons (energy-weighted moments) • single photons (single,radiative, collinear; fake) • - track (1 - 2,3,4 – 5) and 0 (1 – 4 for 1-pr, 1 – 3 for 3-pr ) multiplicities • - low BR channels: 3 tighter tracks required for 3h 2-3 0, only resolved • 0’s for h 4 0 and 3h 3 0 • ‘garbage can’ for rejected hemispheres (‘class 14’) 3.6% • e in cracks: 21% with P2 GeV: 27% • 1-pr hadronic (mostly P2 GeV): 41% • 3,5-pr hadronic: 11% M. Davier – ALEPH Results
Sample M. Davier – ALEPH Results
Global BR Analysis M. Davier – ALEPH Results
Systematic Uncertainties • method: identify sources of systematics, for each one • - link systematic source to relevant variables • - study data/MC distributions of these variables • - characterize and measure systematic bias stat error syst error • - correct MC for measured bias and keep total error as quoted syst uncertainty • main sources • - / 0 reconstruction • - non- backgrounds • - event selection efficiency • - particle ID efficiency matrix • - secondary interactions • - tracking • - MC dynamics • - MC statistics M. Davier – ALEPH Results
/ 0Systematic Sources • efficiency at low-energy (threshold) • efficiency at high energy (track overlap) • conversions • rate • h misID in multiprong environment • p misID in secondary interactions • ID efficiency (good/fake probability) • fake photon rate correction • - energy calibration • 0 efficiency • Dalitz decays • - radiative photons M. Davier – ALEPH Results
Systematic Errors 94-95 (B in %) M. Davier – ALEPH Results
Particle Spectra (leptons) Data/MC comparison non- background M. Davier – ALEPH Results
Particle Spectra (hadrons) Data/MC comparison M. Davier – ALEPH Results
Mass spectra Data/MC comparison All multihadrons h 0 feedthrough non- M. Davier – ALEPH Results
Exclusive BR‘s • topological BR’s defined by charged-track and 0 multiplicities • class 14 (removed decays) consistent with 0 • B14 = (0.065 0.027 0.028) % • consistent with standard decays • dedicated analysis found no ‘invisible’ decay (efficiency=0 in our selection) • Binvisible 0.11% (95% CL) • assume that all considered modes add to 100% and proceed to • the determination of exclusive BR’s • modes with kaons (KS, KL, K) have been measured separately • (complete study with full LEP 1 ALEPH data up to 4 hadrons/mode), • subtracted on a statistical basis • correct for EM modes (all decays, , 0) using measured • channels with and M. Davier – ALEPH Results
Non-strange Branching Ratios M. Davier – ALEPH Results
Leptonic modes ( ) ( ) M. Davier – ALEPH Results
Hadronic modes (1-prong) M. Davier – ALEPH Results
Hadronic modes (3,5-prong) M. Davier – ALEPH Results
Lepton Universality in the Charged Current Be and B g / ge = 0.9991 0.0033 Be , B and WA (290.6 1.1) fs g / g = 1.0009 0.0023 0.0019 0.0004 g / ge = 1.0001 0.0022 0.0019 0.0004 (Be , B)()(m) B and WA g / g = 0.9962 0.0048 0.0019 0.0004 0.0007 (radiative corrections) Beuni = (17.810 0.039) % M. Davier – ALEPH Results
The Hadronic Sector CVC + isospin breaking eeALEPH B0 24.52 0.31 25.47 0.13 0.95 0.33 (%) B30 1.09 0.08 0.98 0.09 -0.11 0.12 B30 3.63 0.21 4.59 0.09 0.96 0.23 a1 decays B3 / B20 = 0.979 0.018 to be compared to 0.985 CLEO (PWA + isospin breaking / masses) V,A separation R = 1 Be – 1.9726 = 3.642 0.012 R,S = 0.160 0.006 R,V+A = 3.482 0.014 R,V = 1.782 0.011 0.002 R,A = 1.700 0.011 0.002R,VA = 0.081 0.018 0.005 M. Davier – ALEPH Results
Spectral Functions • hadronic mass spectra corrected by kinematic factor and scaled by Bi Be • unfolding from detector effects by regularized inversion of 140x140 detector • response matrix (Höcker-Kartvelishvili) • specific systematic studies using full analysis for every syst. source, • constructing corresponding covariance matrices • - and 0 reconstruction • - energy calibration and resolution (charged particles and 0‘s) • - tracking and secondary interactions • - unfolding procedure (test distributions) • spectral functions obtained for the leading channels 0, 20, 30, • 3, 30 M. Davier – ALEPH Results
Spectral Functions: Results M. Davier – ALEPH Results
Spectral Functions: V, A A V M. Davier – ALEPH Results
Spectral Functions: V A V A V + A M. Davier – ALEPH Results
Spectral Functions: QCD analysis • changes since 1998 published analysis: full LEP1 statistics for BR • re-analysis of spectral functions • analysis now even more limited by theoretical uncertainties • some progress in the calculation of the S4 term (Chetyrkin-Kühn et al) • but not complete yet: favours Kataev-Starshenko estimate K430 • use R,V, R,A, R,V+A, and the mass-weighted moments (shapes) • results soon available • - very close to published ones with smaller experimental and slightly • smaller theoretical errors • - some evidence for OPE problems, except in the V+A case where • it does not matter (non-perturbative contributions below 1%) • recall published results S(m2) = 0.334 0.007exp 0.021th • S(MZ2) = 0.1202 0.0008exp 0.0024th 0.0010ext • from Z width (EW fit) S(MZ2) = 0.1183 0.0027 M. Davier – ALEPH Results
The Complete List of ALEPH Branching Ratios M. Davier – ALEPH Results
Backup Slides M. Davier – ALEPH Results
––0: Comparing ALEPH, CLEO, OPAL Shape comparison only. SFs normalized to WA branching fraction (dominated by ALEPH). • Good agreement observed between ALEPH and CLEO • ALEPH more precise at low s • CLEO better at high s M. Davier – ALEPH Results
Testing CVC Infer branching fractions from e+e– data: Difference: BR[ ] – BR[e+e– (CVC)]: leaving out CMD-2 : B0 = (23.69 0.68) % (7.4 2.9) % relative discrepancy! M. Davier – ALEPH Results
New Precise e+e–+– Data from KLOE Using the „Radiative Return“ Overall: agreement with CMD-2 Some discrepancy on peak and above ... ... M. Davier – ALEPH Results
The Problem (revisited) Relative difference between and e+e– data: zoom No correction for ± –0 mass (~ 2.3 ± 0.8 MeV) and width (~ 3 MeV) splitting applied Davier, hep-ex/0312064 Jegerlehner, hep-ph/0312372 M. Davier – ALEPH Results