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Semileptonic B physics at CLEO Ron Poling University of Minnesota CLEO Collaboration CLEO-c Collaboration
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Ron Poling WIN03 October 7, 20032 CESR and CLEO: 23 years of B Physics Three generations of detectors, ~170 Ph.D.’s, ~360 papers
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Ron Poling WIN03 October 7, 20033 The Global Program of CKM Tests Goal: redundant determinations of sides and angles of the Unitarity Triangle(s) CLEO’s Role: –Measure UT sides through |V cb | and |V ub | in semileptonic B decays. –Detailed studies to guide interpretation and help clear the “fog” of nonperturbative effects. Challenging experimentally and theoretically. V cb or V ub
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Ron Poling WIN03 October 7, 20034 B Semileptonic Branching Fraction CLEO II: 10 fb -1 at (4S) –Mature, well-understood detector, data, Monte Carlo, generators, etc. Lepton-Tagged Analysis –p tag >1.4 GeV/c plus accompanying electron with p e >0.6 GeV/c. –Charge, angular correlations to separate primary (B Xe ) from secondary (B D Ye ). Refined electron ID, background and efficiency determinations. –Maximize understanding and minimize momentum dependence. CLEO - Preliminary Preliminary: B (B Xe )=(10.88 0.08 0.33)%
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Ron Poling WIN03 October 7, 20035 B SL – Still small-ish, but consistent Good agreement among different techniques, experiments. Measurements at (4S) have come up and LEP Z 0 average has come down. –Most recent LEP fit result is (10.59 0.22)%
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Ron Poling WIN03 October 7, 20036 The Reality of Semileptonic B Decays We idealize them as… The real picture is… View of b decay obscured by… –Hadronic effects describable by both perturbative and nonperturbative QCD. –Uncertainty about our assumption of quark-hadron duality. Available tools include Heavy Quark Effective Theory and Lattice QCD. Must be validated by experiment. V cb or V ub
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Ron Poling WIN03 October 7, 20037 HQET+OPE Expresses observables of inclusive b decay as expansions in inverse powers of M B (Voloshin +Shifman, …). One parameter at order QCD /M B : – ~ M B – m b is the energy of light-quark and gluon degrees of freedom in the B meson. Two parameters at order 2 QCD /M 2 B : – 1 – negative of the average b-quark momentum squared. – 2 – energy of the hyperfine interaction of the b spin with the light degrees of freedom (from B * -B splitting: 2 = (0.128 0.010) GeV). Six more parameters at order 3 QCD /M 3 B (Gremm and Kapustin) : – 1, 2, T 1, T 2, T 3, T 4 (not all independent). Meaning of parameters depends on choices: order of perturbative ( 0 ( s / ) 2 ) and nonperturbative (1/M 3 B ) expansions and mass scheme. Consistency required. |V cb | is what counts!
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Ron Poling WIN03 October 7, 20038 M OMENTS, I NC. – CLEO Branch B X s Photon-Energy Moments B Xl Lepton-Energy Moments B Xl Hadronic Recoil Mass Moments First and second moments, different lepton-energy ranges… Lots of complementary information. Data from different processes will tell us if this approach provides a coherent picture of inclusive B decays.
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Ron Poling WIN03 October 7, 20039 Measuring B X s Use all available tools! –Traditional shape variables. –Pseudo-reconstruction: demand consistency with B K(n) –Use neural net to compute signal probability and measure spectrum of “weights.” –Subtract continuum with below- (4S) data. –Subtract backgrounds with Monte Carlo, informed by data wherever possible. Photon-energy spectrum at (4S) Continuum must be suppressed.
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Ron Poling WIN03 October 7, 200310 Measuring B X s CLEO II – 10 fb -1 PRL 87, 251807 (2001) Hard measurement, simple interpretation: –Almost two-body, with broadening by Fermi motion, gluon bremsstrahlung, boost of B’s at (4S) – gives nearly direct access to. Next, measure the moments of the E spectrum by fitting to model of Ali-Greub or HQT calculation of Kagan-Neubert:
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Ron Poling WIN03 October 7, 200311 Hadronic Mass Moments in B X c l Select events with leptons with –1.5 < p l < 2.5 GeV/c “ reconstruction” to measure p. Calculate approximate hadronic recoil mass using l (take advantage of p B small): Construct continuum-subtracted spectrum and fit to mixture: –B Dl (CLEO FF’s) –B D * l (CLEO FF’s) –High-mass, nonresonant by models (ISGW2, Goity/Roberts) Use fit components to compute moments: = 0.251 0.023 0.062 GeV 2 = 0.639 0.056 0.178 GeV 2 PRL 88, 251808 (2001)
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Ron Poling WIN03 October 7, 200312 Interpreting the Moments First moments E and M X 2 - M D 2 fitted to extract and 1. Combined solution is = 0.35 0.070 0.10 GeV 1 = -0.236 0.071 0.078 GeV 2 Precise meaning of parameters is scheme- and order- dependent; these are to order 1/M B 3, order 0 s 2 in MS scheme.
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Ron Poling WIN03 October 7, 200313 Extracting |V cb | from (B X c l ) Ingredients: (B X c l ) = (10.8 0.3)% (CLEO) B 0 and B (PDG), f + / f 00 (CLEO) SL = (0.44 0.02) 10 -10 MeV Result: |V cb | = 0.041 0.0005 0.0007 0.0009 Overall precision: ~3% + quark-hadron duality.
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Ron Poling WIN03 October 7, 200314 |V cb | from B D * l d /dw 0.0388 0.0011 |V cb |=(42.6±1.2±2.3) 10 -3 PRL 88, 251808 (2001)
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Ron Poling WIN03 October 7, 200315 New and Improved Measurement of the Hadronic Mass Moments in B X c l hep-ex/0307081 - Contributed to Lepton-Photon 2003 Compute recoiling hadronic mass from charged lepton and neutrino kinematics - neutrino “detection.” Near hermeticity of CLEO II Neutrino=“What’s missing” Fit 3-dimensional differential decay rate, extract hadronic mass squared as a function of lepton-energy cut (p l > 1 GeV/c).
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Ron Poling WIN03 October 7, 200316 Fit Projections Selection criteria: –Cuts to enhance reconstruction –Continuum suppression –Efficiency ~2% for B X c l Sample to fit: 122K events Components of fit: –B Dl –B D*l –B D**l ISGW2 –B (X c ) NR l Goity/Roberts –B X u l ISGW2+NR –Secondaries CLEO MC –Fake Leptons, Continuum fixed with data HQET+measured FFs
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Ron Poling WIN03 October 7, 200317 Fits Mode-by-Mode BRs + Generator-Level Info (Fraction above p l cut, moment value for that cut.) Moment Value for B X c l Results Consistent with previous CLEO measurements, BaBar summer ’03 Interpretation continues PRELIMINARY DELPHI: energy and hadronic mass moments for full lepton-energy spectrum. hep-ph/0210319 PRELIMINARY
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Ron Poling WIN03 October 7, 200318 B X c l Energy Moments PRD 67, 072001 (2003) Pending…E l moments down to 0.6 GeV e
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Ron Poling WIN03 October 7, 200319 Improved Inclusive Measurement of |V ub | End-point technique: –Isolate B X u l by looking above (and just below) the B X c l kinematic limit. –Used for b u discovery (CLEO, ARGUS) and CLEO 93: |V ub |/|V cb |= 0.08 0.02 Significant model dependence. Can now do better: –Better knowledge of B X c l. –B X s helps determine fraction of spectrum in end point. B X s spectrum shape function f u
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Ron Poling WIN03 October 7, 200320 Measuring B X u l 2.0 < p l <2.6 GeV/c Suppress continuum with neural net (energy flow w.r.t. lepton). Less q 2 - and M(X u )-dependent. Estimate B X c l by fitting inclusive spectrum. Components reflect state-of-the- art on form factors, b.r.’s, etc. Trade-off: B X c l uncertainty vs. spectral-fraction uncertainty. b ul excess ON OFF b cl PRL 88, 231803 (2002)
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Ron Poling WIN03 October 7, 200321 Hoang, Ligeti, Manohar; Uraltsev: Determine from B X s shape- function fits (Kagan-Neubert). Extracting |V ub | In preparation: Paper with details of fits for shape-function parameters and f u values for phase-space regions other than just end point.
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Ron Poling WIN03 October 7, 200322 Branching Fractions and q 2 Dependence of B l and B ( )l and Extraction of |V ub | Exclusive reconstruction of B ( / / / )l through neutrino “detection.” Near hermeticity of CLEO II Neutrino=“What’s missing” hep-ex/0304019 to be published in PRD Signal defined by…
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Ron Poling WIN03 October 7, 200323 B l (p l > 1.0 GeV/c) B l (p l > 1.5 GeV/c) CLEO II 10 fb -1 Event selection to enhance reconstruction, suppress continuum Fit M ml and E in three bins in q 2 to find branching fractions
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Ron Poling WIN03 October 7, 200324 Extracting |V ub | –Fit d /dq 2 –Discriminates among FFs B l –FF dependence is small –Disfavors ISGW2 B l –Larger FF dependence greater model uncertainty in |V ub | B l B l
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Ron Poling WIN03 October 7, 200325 RESULTS
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Ron Poling WIN03 October 7, 200326 Comparisons and CKM Impact |V ub |/10 -3 90% c. l. contours
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Ron Poling WIN03 October 7, 200327 CLEO is still contributing on |V ub | and |V cb |. –Sample smaller than B factories, but well understood with mature tools. –We’re all limited by theoretical uncertainties. Continuing and forthcoming CLEO CKM-related measurements: –Completion of moment measurements, coordinated fits of all available inputs. –Inclusive b ul for all CLEO II and CLEO III via multidimensional fit and bigger phase-space acceptance. CESR-c/CLEO-c will have significant impact on CKM. See the upcoming of Karl Ecklund. Perspectives and Prospects
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