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Bs Physics at CDF
Chunlei Liu University of Pittsburgh
on behalf of the CDF collaboration
Lake Louise Winter Institute02/18-02/23
1
Introduction
B ( sb sb JP=0- ) like many other B hadrons producedBs ( sb, sb, J =0 ), like many other B hadrons, produced copiously at Tevatron
No NP-source of CPV in B+/B0 decays at leading order as found b B ll /B Bby Belle/BaBar
In Bs, NP can affect both the strength and phase of mixing amplitudeamplitude
The strength Δm measured at CDF precisely :Δm=17.77±0.12ps-1p
Phase measurement is the main topic of this talk
Bs Physics at CDF/chunlei Liu 2
Bs Neutral Systemb bs s
Time evolution of Bs flavor eigenstates governed by Schrodinger equation:
⇒Obtain mass eigenstates
⇒ Δm = mH-mL=2|M12| (oscillation frequency)Γ = (ΓL+ΓH)/2 (average decay width)
ΔΓ = ΓL-ΓH = 2|Γ12|cos(φSM) (decay width difference)h SM ( / )where φSM= arg(-M12/Γ12)
In SM, φSM ~ 4.2х10-3 very small !
Another interesting parameterafs= Im(Γ12/M12)=|Γ12/M12|sin(φSM)=ΔΓ/Δm*tan(φSM)
Bs Physics at CDF/chunlei Liu 3
CP Violation in Bs → J/ψ φ Decaysand New Physicsand New Physics
CP violation occurs through interference of decay with and withoutCP violation occurs through interference of decay with and without mixing, and predicted to be very small in SM:
βsSM=
New Physics will affect both the phase φSM and βSM by introducing new physics phase φs
NP :
φ = φSM + φ NPφs = φSM + φsNP
2βs = 2βsSM – φs
NP
If NP phase dominatesIf NP phase dominates
2βs = - φs = φsNP
Bs Physics at CDF/chunlei Liu 4
Event Reconstruction
ts
-1L=1.7 fbCDF II Preliminary
Data selected by dimuon trigger
Neural Network trained to
Eve
nts
410 Signal
BackgroundNeural Network trained to separate signal and combinatorial backgrounds
Cut on NN output to
310
Background
Cut on NN output to maximize significance S/√S + B
210
Neural Network Output
-1.0 -0.5 0.0 0.5 1.010
Bs Physics at CDF/chunlei Liu 5
Neural Network Output
Untagged Measurementgg
No flavor identification at production time
1.7 fb-1 data, ~2500 signal events
Maximum likelihood fit using mass ,time and transversity angles
Assuming CP conservation fix β to 0 to getAssuming CP conservation , fix βs to 0 to get better sensitivity in average lifetime (τ) and decay width difference (ΔΓ)
Bs Physics at CDF/chunlei Liu 6
Measurement without flavor tagging((CP conservation assumption)
τ =1.52 ± 0.04(stat) ± 0.02(syst) psImproves the current best measurement by 30%-50%
Bs Physics at CDF/chunlei Liu 7
ΔΓ=0.08 ± 0.06(stat) ± 0.01(syst) ps-1 arXiv:0712.2348
Float CP phase βs
Bias observed inBias observed in pseudo experiments4-fold ambiguity
i lcauses irregular likelihood profile
→ Can’t quote a central qvalue with uncertainty reliably
→ Using Feldman Cousins t ti t bt iconstruction to obtain a
confidence region in ΔΓ-βs space
Bs Physics at CDF/chunlei Liu 8
ΔΓ-βs Confidence Region( h fl )(without flavor tagging)
CDF Run II Preliminary L = 1.7 fb-1
Consistent with SM expectationexpectation
Sizeable values allowed within new physics models can’t be ruled out
ΔΓ=|Γ12|xcos(φs)
For SM prediction the probability to get equal or bigger likelihood ration
Bs Physics at CDF/chunlei Liu 9arXiv:0712.2348
For SM prediction, the probability to get equal or bigger likelihood ration than the one observed in data is p=22%, corresponding to 1.2 Gaussian standard deviation
Measurement with Tagging(with flavor identification at production time)(with flavor identification at production time)
Ambiguity : 4 → 2More sensitivity to βss
Calibrated up to 1.35 fb-1 ~ 2000 signal eventsConfidence region in ΔΓ-βs plane with Feldman-Cousins Method for the same reason as in untagged case
Semileptonic Muon Tag
Semileptonic Electron Tag
J t Ch TJet Charge Tag
Each tagged event has:
Correct tagging prob: P= (1+Di)/2
OST: ε ~ 96%, D ~ 11 ± 2%
Bs Physics at CDF/chunlei Liu 10
,
SST: ε ~ 50%, D ~ 27 ± 4%
βs Final Result in Tagged Bs → J/ψ φ
without flavor tagging with flavor tagging
•Assuming SM(βs=0.02,ΔΓ=0.96),the probability is 15%, 1.5σ effect
•1D Feldman-Cousins with external
Reduce the space of solutions by 50% !
Excluded large negative βs values!
Bs Physics at CDF/chunlei Liu 11
1D Feldman Cousins with external constraints on strong phases, lifetime and|Γ12|, 2βs in [0.40, 1.20] at 68% C.L.
arXiv:0712.2397
CP Asymmetry for Semileptonic B Decays (1 6 fb-1)Bs Decays (1.6 fb )
Using semileptonic decays of bb pairs, looking for same-sign muons states that indicates mixing, fitting the 2D distribution of impact parameter significance:
ASL = 0.0080 ± 0.0090 (stat) ± 0.0068 (syst)
With knowledge of world average f Z fdZd and B0 semileptonicWith knowledge of world average fsZs , fdZd, and B semileptonic asymmetry from B factories, we can get:
AsSL = 0.020 ± 0.028
68% CL
Can be used to further constrain φ withCan be used to further constrain φs with the CP violation measurement from Bs→J/ψ φ
Bs Physics at CDF/chunlei Liu 12
http://www-cdf.fnal.gov/physics/new/bottom/070816.blessed-acp-bsemil/
Bs Lifetime in Bs→ Ds(φπ)Xusing both the fully and partially reconstructed modes
-1CDF Run II Preliminary 1.3 fb -1CDF Run II Preliminary 1.3 fb
g y p yin 1.3fb-1 of data reconstructed as Bs→Ds(φπ)π.
τ(Bs-> Ds(φπ)π) = 1.518 ± 0.041(stat.) ± 0.025(syst.) ps
V 2500
3000
3500
datafit
+π-D→0B)(n+-D0B
-1CDF Run II Preliminary 1.3 fb
cm
)
310
cm
)
310Data
Fit Result
πD
-1CDF Run II Preliminary 1.3 fb
andi
date
s/10
MeV
1500
2000
2500 )γ(n+π-D→0B+K-D→0B+ρ-D→0B+π*-D→0B
+π*2D→+/B0B
(*)K(*)D→+/B0BeX(*)D→+/B0B id
ates
/ (
0.00
16 c
210
idat
es /
( 0.
0016
c
210
D
others0+Bπ+D*ρDK+D
+, BsB
Bkgd.
can
0
500
1000
eX(*)D→+/B0BX-D→+/B0B
XsD→sB(sb)-D
-X-D
Can
dida
1
10
Can
dida
1
10
m(B) (GeV)4.8 5 5.2 5.4 5.6 5.8 6 6.2 6.4
0
)σsi
dual
(
0
2
4
ct (cm)0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4
1
ct (cm)0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4
1)σ
ual ( 1
2
3
4
Bs Physics at CDF/chunlei Liu 13
= 227.25 n(dof) = 152 prob = 7.4e-052χ
resi
d
-4
-2
= 236.01 n(dof) = 138 prob = 1.4e-072χ
resi
dua
-4
-3
-2
-1
0
ConclusionConclusion
Best BS lifetime and decay width difference measurement
First CP violation result using tagged Bs->J/ψ φdecays
Large negative βs (positive φs) values excluded
Working hard on double statistics for theWorking hard on double statistics for the summer
Bs Physics at CDF/chunlei Liu 14
Back UpBack Up
Bs Physics at CDF/chunlei Liu 15
CDF D0 comparison
DØ quotes only a point-estimate with strong phases constrained. This makes the result dependent on theoretical assumptions.
Can be compared to CDF constrained result 2βs Є [0.40,1.20] @ 68% CL
Bs Physics at CDF/chunlei Liu 16
Collider and Detector
Booster CDF
•pp collisions at 1.96 TeV• 1.7 MHz collision rate (396 ns bunch spacing)
Main Injector
Tevatron
⎯p source
CDFDØ • ~2.9 fb–1 data on tape
• Initial instantaneous luminosity2.9 x1032cm–2s–1
• Average 5-6 pp interactions perMain Injector& Recycler
p source Average 5 6 pp interactions per bunch crossing
C t l t ki i l d ili•Central tracking includes silicon vertex detector surrounded by drift chamber •Excellent vertex resolution ~23μmμ• pT resolution δpT/pT = 0.15%pT
• Particle identification:dE/dX and TOF• Good electron and muon identification by calorimeters and
Bs Physics at CDF/chunlei Liu 17
identification by calorimeters and muon chambers
CP Violation in Bs SystemCP Violation in Bs System
- Standard Model CP violation occurs through complex phases in the unitary CKM quark mixing matrix:
Large CP violation ~ λ3- Expanded in λ = sin(θCabibbo) ≈ 0.23:
Highly suppressed CP violation ~ λ5
Large CP violation ~ λ3 Suppressed CP violation ~ λ4
- Unitarity relations:Bd unitarity triangle Bs unitarity triangle
- Unitarity triangles
d y g s y g
Bs Physics at CDF/chunlei Liu 18
Transversity Anglesy g
Bs Physics at CDF/chunlei Liu 19
Bs → J/ψ φ Decay Rate Functions J/ψ φ y
time dependence terms
terms with β dependence
angular dependence terms
terms with βs dependence
terms with Δm dependenceterms with Δms dependencedue to initial state flavor tagging
‘strong’ phases:δ|| ≡ arg(A*
||A0)δ┴≡ arg(A*
┴A0)
Bs Physics at CDF/chunlei Liu 20
g( 0)
Neural Network details
Signal pattern: Monte CarloBackground pattern: J/ψ background g p ψ gInput variables includes
Bs: PT and vertex probJ/ψ: PT and vertex prob
φ : mass and vertex probφ pK+/-: PT and PID (dE/dX, TOF)
Bs Physics at CDF/chunlei Liu 21
βs Further Results
- 1D Feldman-Cousins procedure, 2βs in [0.32, 2.82] at the 68% C.L.
0 π 2βs- 1D Feldman-Cousins procedure, apply constraint |Γ12|=0.048±0.018
2βs in [0.24, 1.36] U [1.78,2.90] at the 68% C.L.
0
2β
- 1D Feldman-Cousins with external constraints on strong phases, lifetime and |Γ12|, 2βs in [0.40, 1.20] at 68% C.L.
2βs0 π
0 π 2βs
Bs Physics at CDF/chunlei Liu 22
Future sensitivityy
Projected Confidence Regions in 6 fb-1 assuming same yield
Bs Physics at CDF/chunlei Liu 23
Projected Confidence Regions in 6 fb assuming same yieldper fb-1 in future and same tagging efficiency and dilution
Measure same sign muon charge asymmetryt CDF ith 1 6 fb 1at CDF with 1.6 fb-1:
→
With knowledge of world average fsZs , fdZd, and B0 semileptonic asymmetryfrom B factories, we can get:
As = 0 020 ± 0 021 (stat) ± 0 016 (syst) ± 0 009 (inputs)AsSL = 0.020 ± 0.021 (stat) ± 0.016 (syst) ± 0.009 (inputs)
f fd are fractions of produced B and Bd mesons Z and Zd are
Bs Physics at CDF/chunlei Liu 24
fs,fd are fractions of produced Bs and Bd mesons, Zs and Zd are mixing related weights