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Semileptonic B decays, B mixing and magnitudes of CKM elements at B A B AR. David Côté, Université de Montréal for the B A B AR collaboration. DAΦNE 2004: Physics at meson factories. ∫ L on dt = 82 fb -1. 88 10 6 BB.
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Semileptonic B decays, B mixing and magnitudes of CKM elements at BABAR David Côté, Université de Montréal for the BABAR collaboration DAΦNE 2004: Physics at meson factories
∫ Lon dt = 82 fb-1 88106 BB Results presented today used less than half of the data we have now. Outline • |Vcb| • |Vub| • B0 – B0 mixing semileptonic B decays: BXcl or BXul md, ... David Côté, Université de Montréal
Why studying semileptonic B decays and B0 - B0 mixing? • To (over-)constrain the Standard Model and determine some of its fundamental parameters: mb, mc and CKM matrix elements • To know more precisely parameters needed by other analyses (md, branching fractions, form factors,...) • To learn about QCD and effective QCD David Côté, Université de Montréal
Problem: large uncertainties in mb, mc, ’s and ’s Solution: Measuring mb, mc, G, ,LS, D, simultaneously to Br(BXc e ) and |Vcb| using HQE’s predictions of El and MXcmoments. i=1..3 i=1..4 Inclusive |Vcb| measurement strategy • f , f0 : heavy quark expansion (HQE) formulae* • mb and mc : running quark masses (at =1 GeV) • G, ,LS, D : non-perturbative QCD parameters *Gambino & Uraltsev hep-ph/0401063 hep-ph/0403166 David Côté, Université de Montréal
esig e- Bsig Btag e+ etag esig energy spectrum used for moments measurement ν electron energy moments • Strategy: identify B Xc e decays with di-electron events • Require typical B-B event topology, one high momentum etag and one opposite charge esig • Subtract remaining backgrounds (mostly from data control samples) • Corrections applied for Bremsstrahlung, e ID efficiency, etc. Data sample: ∫ L dt = 47.4 fb-1 400,000 events! Accepted by Phys. Rev. D hep-ex/0403030 David Côté, Université de Montréal
BABAR El* > 0.9 GeV p Breco e- D* Brecoil e+ l Xc Clear sign of higher charm resonances ν hadronic mass moments Accepted by Phys. Rev. D hep-ex/0403031 • Strategy: identify B Xcl decays on the recoil of fully reconstructed B’s • Semileptonic side requirements : • exactly one e or with p* > 0.9 GeV/c • Emiss, Pmiss consistent with a neutrino and net event charge 1 • MXc reconstructed with a kinematic fit to all remaining particles • Corrections for small MXc reconstruction bias computed from Monte Carlo David Côté, Université de Montréal
Excellent agreement between lepton and hadron moments! Fit results Accepted by Phys. Rev. Lett. hep-ex/0404017 MXc and El moments as a function of minimum El cut χ2 = 15 Ndof = 20 used in global fit not used in global fit • Excellent agreement between data and HQE predictions! David Côté, Université de Montréal
|Vcb|: result and comparison • 2% error on |Vcb|! |Vcb| Br(BX l ) David Côté, Université de Montréal
theory theory mb, mc: result and comparison kinetic mass scheme Conversion of mb and mc from kinetic mass to MS scheme by N. Uraltsev (hep-ph/9708372, hep-ph/0302262 , hep-ph/0304132) David Côté, Université de Montréal
*Br(BXul ) extracted from Ru using ref Phys.Rev.D67:031101,2003 ∫ L dt = 82 fb-1 Several avenues currently considered in order to reduce further the theoretical uncertainties. Inclusive |Vub| Phys. Rev. Lett. 92:071802,2004 • Strategy: same B Xl selection as hadron mass moments (slide 6) • BXul selection: kaon veto, low MX • Measurement of for systematic errors cancellation Monte Carlo David Côté, Université de Montréal
∫L dt = 50.5 fb-1 Exclusive |Vub| Phys. Rev. Lett. 90:181801,2003 • Strategy: untagged identification of B e decays with “ reconstruction” • Signal extracted by requiring: • very high momentum electron • E = Ebeam - E - El - Emisscompatible with zero • M compatible with mass • Rather high theoretical uncertainties (~15%) • Relatively high yield: 834 102 events (only electrons and 50.5 fb-1) exclusive analysis advantage MC GeV/c • Much more to be expected soon: • larger dataset • additional decay modes • reduced theoretical uncertainties • form factor(s) measurement • new recoil techniques David Côté, Université de Montréal
“unmixed” “mixed” Results (23106 BB): (averaged 1,2,5) (3) « classic » B0 - B0 mixing (1) Phys.Rev.Lett.88:221802,2002 (2) Phys.Rev.Lett.88:221803,2002 (3) Phys.Rev.Lett.89:011802,2002 (4) Phys.Rev.D66:032003,2002 (5) Phys.Rev.D67:072002,2003 • The B0 – B0 mixing technique is well-known and well-documented: • Determination of vertex and flavor of the two B’s • “t” between the two B’s estimated from distance between vertices David Côté, Université de Montréal
d/d : lifetime difference between BH and BL mass eigenstates (not “Bshort” and “Blong”) z (0,0): imply CPT violation |q/p| 1: imply ACP (ACP) is the amplitude for B0fCP (B0fCP) (): difference between flavor (mass) eigenstates Generalized B0 - B0 mixing analysis • B0 – B0 total decay-rate difference, CP violation in mixing and CPT violation were always neglected in mixing and CP measurements • The validity of these assumptions was recently confirmed in a generalized B0 - B0 mixing analysis using 82 fb-1 Phys.Rev.Lett.92:181801,2004 hep-ex/0403002,submitted to PRD David Côté, Université de Montréal
Summary • New BaBar precision measurement of |Vcb|, Br(BXcl ), mb, mc and 4 HQE parameters. • 13% (18%) inclusive (exclusive) |Vub| measurement at BaBar using BXul decays (currently dominated by theory errors, but much progress to be expected soon). • New measurement of d/d, |q/p| and z generalized mixing parameters validate the assumptions used for previous BaBar’s mixing and CP measurements. David Côté, Université de Montréal
- plane David Côté, Université de Montréal
md,s vs Vtd,s [known factors] needs latttice QCD calculations [known factors] also needs latttice QCD calculations, but easier to compute. David Côté, Université de Montréal
electron energy moments Defining: We measured... • the first moment: • the central moments: n = 2,3 • the partial branching fraction (0th moment): David Côté, Université de Montréal
HQE parameters We use calculations in kinetic mass scheme by Gambino and Uraltsev • (HQE to order 1/mb3, as2 ) • μπ2 - exp. value of kinetic energy of b quark inside B meson • μG2 - exp. value of chromomagnetic moment operator • ρD3 - exp. value of Darwin operator • ρLS3 – exp. value of Spin-Orbit operator hep-ph/0401063 hep-ph/0403166 Ơ(1/mb2){ Ơ(1/mb3){ David Côté, Université de Montréal