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B s Physics at CDF Chunlei Liu University of Pittsburgh on behalf of the CDF collaboration Lake Louise Winter Institute 02/18-02/23 1

Bs Physics at CDF€¦ · Introduction B(sbsbJP=0-)likemanyotherBhadrons produced s( sb, sb, J ), like many other B hadrons, produced copiously at Tevatron No NP-source of CPV in

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Page 1: Bs Physics at CDF€¦ · Introduction B(sbsbJP=0-)likemanyotherBhadrons produced s( sb, sb, J ), like many other B hadrons, produced copiously at Tevatron No NP-source of CPV in

Bs Physics at CDF

Chunlei Liu University of Pittsburgh

on behalf of the CDF collaboration

Lake Louise Winter Institute02/18-02/23

1

Page 2: Bs Physics at CDF€¦ · Introduction B(sbsbJP=0-)likemanyotherBhadrons produced s( sb, sb, J ), like many other B hadrons, produced copiously at Tevatron No NP-source of CPV in

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

Page 3: Bs Physics at CDF€¦ · Introduction B(sbsbJP=0-)likemanyotherBhadrons produced s( sb, sb, J ), like many other B hadrons, produced copiously at Tevatron No NP-source of CPV in

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

Page 4: Bs Physics at CDF€¦ · Introduction B(sbsbJP=0-)likemanyotherBhadrons produced s( sb, sb, J ), like many other B hadrons, produced copiously at Tevatron No NP-source of CPV in

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

Page 5: Bs Physics at CDF€¦ · Introduction B(sbsbJP=0-)likemanyotherBhadrons produced s( sb, sb, J ), like many other B hadrons, produced copiously at Tevatron No NP-source of CPV in

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

Page 6: Bs Physics at CDF€¦ · Introduction B(sbsbJP=0-)likemanyotherBhadrons produced s( sb, sb, J ), like many other B hadrons, produced copiously at Tevatron No NP-source of CPV in

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

Page 7: Bs Physics at CDF€¦ · Introduction B(sbsbJP=0-)likemanyotherBhadrons produced s( sb, sb, J ), like many other B hadrons, produced copiously at Tevatron No NP-source of CPV in

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

Page 8: Bs Physics at CDF€¦ · Introduction B(sbsbJP=0-)likemanyotherBhadrons produced s( sb, sb, J ), like many other B hadrons, produced copiously at Tevatron No NP-source of CPV in

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

Page 9: Bs Physics at CDF€¦ · Introduction B(sbsbJP=0-)likemanyotherBhadrons produced s( sb, sb, J ), like many other B hadrons, produced copiously at Tevatron No NP-source of CPV in

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

Page 10: Bs Physics at CDF€¦ · Introduction B(sbsbJP=0-)likemanyotherBhadrons produced s( sb, sb, J ), like many other B hadrons, produced copiously at Tevatron No NP-source of CPV in

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%

Page 11: Bs Physics at CDF€¦ · Introduction B(sbsbJP=0-)likemanyotherBhadrons produced s( sb, sb, J ), like many other B hadrons, produced copiously at Tevatron No NP-source of CPV in

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

Page 12: Bs Physics at CDF€¦ · Introduction B(sbsbJP=0-)likemanyotherBhadrons produced s( sb, sb, J ), like many other B hadrons, produced copiously at Tevatron No NP-source of CPV in

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/

Page 13: Bs Physics at CDF€¦ · Introduction B(sbsbJP=0-)likemanyotherBhadrons produced s( sb, sb, J ), like many other B hadrons, produced copiously at Tevatron No NP-source of CPV in

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

Page 14: Bs Physics at CDF€¦ · Introduction B(sbsbJP=0-)likemanyotherBhadrons produced s( sb, sb, J ), like many other B hadrons, produced copiously at Tevatron No NP-source of CPV in

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

Page 15: Bs Physics at CDF€¦ · Introduction B(sbsbJP=0-)likemanyotherBhadrons produced s( sb, sb, J ), like many other B hadrons, produced copiously at Tevatron No NP-source of CPV in

Back UpBack Up

Bs Physics at CDF/chunlei Liu 15

Page 16: Bs Physics at CDF€¦ · Introduction B(sbsbJP=0-)likemanyotherBhadrons produced s( sb, sb, J ), like many other B hadrons, produced copiously at Tevatron No NP-source of CPV in

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

Page 17: Bs Physics at CDF€¦ · Introduction B(sbsbJP=0-)likemanyotherBhadrons produced s( sb, sb, J ), like many other B hadrons, produced copiously at Tevatron No NP-source of CPV in

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

Page 18: Bs Physics at CDF€¦ · Introduction B(sbsbJP=0-)likemanyotherBhadrons produced s( sb, sb, J ), like many other B hadrons, produced copiously at Tevatron No NP-source of CPV in

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

Page 19: Bs Physics at CDF€¦ · Introduction B(sbsbJP=0-)likemanyotherBhadrons produced s( sb, sb, J ), like many other B hadrons, produced copiously at Tevatron No NP-source of CPV in

Transversity Anglesy g

Bs Physics at CDF/chunlei Liu 19

Page 20: Bs Physics at CDF€¦ · Introduction B(sbsbJP=0-)likemanyotherBhadrons produced s( sb, sb, J ), like many other B hadrons, produced copiously at Tevatron No NP-source of CPV in

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)

Page 21: Bs Physics at CDF€¦ · Introduction B(sbsbJP=0-)likemanyotherBhadrons produced s( sb, sb, J ), like many other B hadrons, produced copiously at Tevatron No NP-source of CPV in

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

Page 22: Bs Physics at CDF€¦ · Introduction B(sbsbJP=0-)likemanyotherBhadrons produced s( sb, sb, J ), like many other B hadrons, produced copiously at Tevatron No NP-source of CPV in

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

- 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

Page 23: Bs Physics at CDF€¦ · Introduction B(sbsbJP=0-)likemanyotherBhadrons produced s( sb, sb, J ), like many other B hadrons, produced copiously at Tevatron No NP-source of CPV in

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

Page 24: Bs Physics at CDF€¦ · Introduction B(sbsbJP=0-)likemanyotherBhadrons produced s( sb, sb, J ), like many other B hadrons, produced copiously at Tevatron No NP-source of CPV in

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