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Measurement of the Branching fraction B( B D* l )
C. Borean, G. Della Ricca
G. De Nardo, D. Monorchio
M. Rotondo
Riunione Gruppo I – Napoli 19 Dicembre 2002
Riunione Gruppo I – Napoli 19 Dicembre 2002
Outline
• Introduction
• Analysis strategy
• Main aspects of the analysis
• Branching ratio results on 2000-2002 data set.
Riunione Gruppo I – Napoli 19 Dicembre 2002
• The decay BD*l proceeds by the quark level decayb c. The decay rate therefore depends on |
Vcb|.
• The picture is complicated by the strong interaction
b W
cgVcb
B D*l and the CKM element Vcb
HLV
GiDB cb
Fqcqb 2
)( M
On general ground, the amplitude is
uuL )1( 5
exact leptonic current :
BbcDH |)1(| 5
hadronic term calculated by means of non perturbative methods:
Riunione Gruppo I – Napoli 19 Dicembre 2002
Measurement of |Vcb| from B D*l
Strong interaction effects can be studied by means of theHeavy Quark Effective Theory (HQET).
differential decay rate
Kinematics function Form factor. theoretical
uncertainty of ~4% when
w1
Fitting dГ/dw, |Vcb|F(w) is obtained. Theory ( HQET) provides F(w) allowing the extraction of |Vcb|, by means of an extrapolation w 1 (zero recoil).
CLEO
Riunione Gruppo I – Napoli 19 Dicembre 2002
Analysis strategy
Define selection criteria for the signal. Study the backgrounds directly from data as far as
possible. Estimate remaining backgrounds from Monte Carlo
simulation. Determine the selection efficiency. Correct the
Monte Carlo simulation evaluating the corresponding systematic uncertainty.
Fit signal and residual background from resonant and non-resonant semileptonic decays, exploiting available physical constraints (we studied both electron and muon channel and 4 D0 decay modes)
Riunione Gruppo I – Napoli 19 Dicembre 2002
The data set analyzed
2000: 20.25 fb-1 on-resonance 2.60 fb-1 off-resonance
2001: 35.54 fb-1 on-resonance 3.79 fb-1 off-resonance
2002: 24.30 fb-1 on-resonance 3.19 fb-1 off-resonance
2000 MC 2001 MC 2002 MC
Riunione Gruppo I – Napoli 19 Dicembre 2002
Event selection
• A Charged D* meson and a lepton (muon and electron) of opposite charge are reconstructed the D* meson is reconstructed from the D*D0soft D0 reconstructed in 4 modes
• The Neutrino is NOT reconstructed
e/
D0s
B
D0 is reconstructed in 4 decay modes
Constrained vertex fit on D0 decay products, soft pion and lepton
The signal is measured in 2 4 independent signal samples .
Riunione Gruppo I – Napoli 19 Dicembre 2002
Backgrounds
• The event is not from BB (continuum)• Reconstructed D* is fake (combinatorial)• lepton is fake (fake lepton)• B D* X the other B l X (uncorrelated)
The amount of these backgrounds are be estimated directly from experimental data
Riunione Gruppo I – Napoli 19 Dicembre 2002
Data samples definition
Riunione Gruppo I – Napoli 19 Dicembre 2002
Combinatorial background
The mass difference m=(MD*-MD) discriminate real D* events
against combinatorial events.
Maximum likelihood fit, using a double gaussian for the peaking component and an empirical distribution for the background.The data set has been subdivided in several samples sharing the same peak and combinatorial parameters according to the different resolutions ( i.e. SVT only tracks w.r.t. DCH tracks) and background distributions.
Riunione Gruppo I – Napoli 19 Dicembre 2002
Continuum background
D*
soft
D0
K
e,
e+
e–
c
–c
XThe peak yield fitted in off-resonance experimental data has been scaled according to the known ratio of data collected on-resoncance and off-resonance.
D*
soft
D0
K
B0
e,
Signal
Riunione Gruppo I – Napoli 19 Dicembre 2002
Fake lepton background
• Signal leptons are tight leptons (maximum purity)• Fake lepton sample composed by lepton candidates which fail
the loose lepton identification criteria• The PID selection efficiencies and mis-id probabilities as a
function of momentum and direction are re-weighted according to our sample lepton momentum distribution
the fraction of fake leptons in all samples are extracted
measured yield efficiency matrix true number of events
Riunione Gruppo I – Napoli 19 Dicembre 2002
Uncorrelated background
• Events with a D* and a lepton in the same side are enriched in uncorrelated
background.
D*
soft
D0
K
B0
e,
Signal
Opposite-side Same-side
signal
other B
D*
soft
D0
K
B0(+-)
X
B0(-+)
e,
Y
Riunione Gruppo I – Napoli 19 Dicembre 2002
Background characterization
Fake D*Fake lepton
continuumuncorrelated
From data control samples
Riunione Gruppo I – Napoli 19 Dicembre 2002
Fitted Yields
2000
2001
2002
Riunione Gruppo I – Napoli 19 Dicembre 2002
Correlated background
several decay modes contributing
the overall amount is small
Estimated from Monte Carlo simulation
D* soft
D0
K
B0(+–)e,
X
D*
soft
D0
K
B0
e,
-
Signal
Riunione Gruppo I – Napoli 19 Dicembre 2002
Extraction of the signal
• After the background subtraction, the signal sample is composed by B D*l and B D** l and non resonant semileptonic decays with a D*.
• To disentangle the signal the variable cos BY is used:
muonselectrons
signal
D**
Riunione Gruppo I – Napoli 19 Dicembre 2002
Fit of signal and background components
• Least square fit to the 4 (D mode) 2 (lepton mode) data samples all parameters free or imposing equal ratio of D* / D**
fractions signal and backgrounds shapes taken from Monte Carlo
Riunione Gruppo I – Napoli 19 Dicembre 2002
Examples of fit results
electron - D0 K - year 2000 muon - D0 K - year 2002
Riunione Gruppo I – Napoli 19 Dicembre 2002
Monte Carlo correction and systematics uncertainties
• Correction for PID
• Correction for tracking and 0 reconstruction efficiencies. lepton, D0 decay products but most important soft tracking.
Riunione Gruppo I – Napoli 19 Dicembre 2002
Soft pion tracking efficiency
• The soft momentum spectrum is really soft: 50 MeV <pT< 200 MeV
• From control sample D* decays the relative tracking efficiency between soft and ordinary tracks has been measured
Riunione Gruppo I – Napoli 19 Dicembre 2002
Other systematics uncertainties
• D** background composition and shape modeling in Monte Carlo ( 2%).
• vertexing algorithm (1%)• stability in the binning (1%)• lepton momentum cut (1%)
Riunione Gruppo I – Napoli 19 Dicembre 2002
Branching fraction (blind!)
Riunione Gruppo I – Napoli 19 Dicembre 2002
Conclusions
• We have analyzed the largest D*l sample ever
• Systematics is dominant in the uncertainty.
• Some modes have large uncertainty. Most probably the K and K 3 mode will be used for the measurement leaving the other two for a cross check.
• Dominant uncertainties does not depend on us
• f+/f0 ratio and D0 PDG branching fractions!
• D** modeling is 2%.
• It may improve when D** measurements will be performed.
• soft pion efficiency is historically the main concern. We think we have it under control.
• Results are blind. BABAR internal review is started. They will give the OK for unblinding. Conference target: Moriond ( march 2003)
Riunione Gruppo I – Napoli 19 Dicembre 2002
Backup slides
Riunione Gruppo I – Napoli 19 Dicembre 2002