Search for Super-Penguins: CP Violation in B 0 ->K+K-K 0
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Transcript of Search for Super-Penguins: CP Violation in B 0 ->K+K-K 0
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Sep 11, 2006 SLUO Anual Meeting 2006 1
Search for Super-Penguins:CP Violation in B0->K+K-K0
Search for Super-Penguins:CP Violation in B0->K+K-K0
D. Dujmic, SLACFor BABAR Collaboration
D. Dujmic, SLACFor BABAR Collaboration
Special thanks to: G. Cavoto, M. Krishnamurthy, E. Di Marco, M.Pierini, A.Roodman, S.Spanier, J.Thompson
SMrules
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Sep 11, 2006 SLUO Anual Meeting 2006 2
CP Violation in SMCP Violation in SMCKM picture of charged weak currents:
But amount of CP violation too small:- observation:
- area of unitarity triangle:
p=u,c,t
q=d’,s’,b’
W ±Vpq
10
BB
BB
γ
B 106NN
NN
nn
10TJ
NN
NN :CKM 20
12c
CKM
BB
BB
?
0VVVVVV of Plot *tbtd
*cbcd
*ubud
Additional sources of CP violation needed
(solely responsible for CPV in SM)
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Sep 11, 2006 SLUO Anual Meeting 2006 3
Search for Super-PenguinsSearch for Super-Penguins Penguin amplitude in SM
Virtual, heavy particles can appear in loops
- can be relatively large, O(1)
- in general not CP-conserving
Double-CKM suppression:
Loop suppression:
Decay rates small BF<7·10-5
Super-penguin, beyond-SM?
0.04~VV~ tb*
ts2
0.02~mm
log12π 2
b
2ts
Example of SUSY diagram
SMrules
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Sep 11, 2006 SLUO Anual Meeting 2006 4
CPV Parameter sin2B0 K+K-K0 amplitudes:
CPAsymmetry:(B0/B0bar tags)
)cos( C)sin(sin2βNN
NN)(a
tagBtagB
tagBtagB
CP00
00
ΔmΔtΔmΔtΔt
~0
b
d
s
s
d
s
ss
d
s
b
d
0B 0B
0Bb
d
SKSK
• Interference term has different signs for B0/B0bar tags• Interference phase only due to B0/B0bar mixing (in SM)
2iβe
IF:KsJ/Ks-KK sin2βsin2β 0C Ks-KK
same asymmetry for J/KS and K+K-KS
super-penguins exist!
K+K-K0flavor
tag
e+
e-
0B0
B
0
0)KJ/,KKKBA(
)KJ/,KKKA(Barg
000
000
Ψ
ΨSM
superpenguins
or
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Sep 11, 2006 SLUO Anual Meeting 2006 5
Estimate of sin2in K+K-KS
Estimate of sin2in K+K-KS
From tree-dominated decaysB0->J/KS (SM reference point):
0.0260.675sin2β
(penguin-tree)
Experimental average of all penguins
0.050.52sin2β
b c
d
cWs
d
Tree
Penguin
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Sep 11, 2006 SLUO Anual Meeting 2006 6
Analysis of 3-Body DecayAnalysis of 3-Body Decay Selection of charm-less 3-body decays is tricky
- large background requires usage of several kinematic, event-shape variables in event selection- good particle ID
K+
K
B0KS L
L’=L L=even CP(K+K-KS)= +1
L=odd CP(K+K-KS) = -1
*[ CP(KKKS)= - CP(KKKL) ]
How to analyze angular momentum composition?
CP Violation measurement with additional complication- CP depends on angular momentum L between K+ and K-- (K+ K-)KS can be both CP-even and CP-odd *
-sin2
+sin2
-> (2fodd-1) sin2Dilution ifboth CP present!!
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Sep 11, 2006 SLUO Anual Meeting 2006 7
CP ContentCP ContentFractions of P-wave from analysis of angular moments:– 0.29 ± 0.03 over whole DP– 0.89 ± 0.01 in (1020) region
From 624±30K+K+K- decays
From 879±36 K+K-KS() decays
Need Dalitz plot analysis to measure CP
asymmetry
BABAR-CONF-06/40 (ICHEP06)
previously:- cut >1.1GeV (assume CP-even)- 1.0045<m<1.0345 (assume CP-odd)
Fraction of P-wave P-wavestrength
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Sep 11, 2006 SLUO Anual Meeting 2006 8
B0→K+K-K0 Isobar ModelB0→K+K-K0 Isobar Model
Charm(onium) contributions:D-K+, DS
-K+
c0K0
K0
f0(980)K0
X0(1550)K0
Non-resonant
toy Dalitz plot Component CP
K0 odd
f0(980)K0 even
X0(1550)K0 even
Nonresonant even(90%)odd(10%)
c0K0 even
Use flavor-symmetry to relateBABAR’s K+K+K- Dalitz plot
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Sep 11, 2006 SLUO Anual Meeting 2006 9
Dalitz Plot PDFDalitz Plot PDF Measure CP asymmetry in time-dependent Dalitz plot:
),()cos()sin(2222*
22
tddi
t
ttmAAtmeAAmAAe
Five observables: t, (t), m(K+K-), cosH, tag flavor
...cNRcXcfcc c0c0NRX0f0 00fA
...cNRcXcfcc c0c0NRX0f0 00fA
B0 amplitude
B0bar amplitude
CP Violation: Rate difference Phase difference
22
22
CP |c||c|
|c||c|A
)carg()arg(c
21
eff
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Sep 11, 2006 SLUO Anual Meeting 2006 10
… Add All K+K-K0 Final States
… Add All K+K-K0 Final States
(1020)
“X0(1550)”
c0
Non-resonant
f0(980)
K+K-KL
K+K-KS() K+K-KS()
Add K+K-KS(KS) and K+K-KL
All channels use same Dalitz plot model!~1500 signal events
138 ± 17
499 ± 52
879 ± 36
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Sep 11, 2006 SLUO Anual Meeting 2006 11
Average CP-AsymmetryAverage CP-Asymmetry
083.0354.0
089.010.0
eff
CPA
Combine KKKS+-, KKKS00, and KKKLAssume same CPV parameters for all KKK0
KKKS+- alone:
037.0079.0361.0
025.0079.0034.0
eff
CPA
Component Fraction (%)
K0 12.9±1.3
f0(980)K0 22.3±8.9
X0(1550)K0 4.1±1.8
Nonresonant 91±19
c0K0 2.8±0.8
D-K+, DS-K+ 4.9±1.1
SM:ACP=0=0.370
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Sep 11, 2006 SLUO Anual Meeting 2006 12
Measurement of Measurement of • Assume final state is mixture of CP-eigenstates (partial waves)
...NRccfcc NRc0c0f0 0fA
...NRccfcc NRc0c0f0 0fA
)2cos()()2sin()()( **2* ffff
iff AAmAAeeAAm
both real and imaginary b/c of CP-even, -odd interferences (->2)real in Q2B analyses (->sin2)
4.6
037.0079.0361.0 eff
eff
eff
eff
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Sep 11, 2006 SLUO Anual Meeting 2006 13
CPV in Low K+K- Mass CPV in Low K+K- Mass • Resonant fractions for m(K+K-)<1.1GeV
(1020)K0 57%
f0(980)K0 34%
Non-res 13%
• Low-K+K- mass fit for CPV parameters in K0 and f0K0 to reduce dependence on Dalitz plot model• K0 theoretically very clean (sin2)~ O(1%)• Fix S-wave, float isobar parameters for P-wave KKKs+- 252 ± 19
KKKs00 35 ± 9
KKKL 195 ± 33
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Sep 11, 2006 SLUO Anual Meeting 2006 14
CPV in Low K+K- Mass CPV in Low K+K- Mass Combined KKKS+-, KKKS00, and KKKL
05.016.006.0
10.020.018.0
eff
CPA
04.019.018.0
10.028.045.0
eff
CPA
• cross-check with Q2B analysis• syst. errors dominated by Dalitz plot model• consistent with SM, Belle
SM:ACP=0=0.370
KS
f0KS
• CPV measurements in f0Ks and Ks correlated (one background for the other)
asymmetry plot ±15MeV under
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Sep 11, 2006 SLUO Anual Meeting 2006 15
SummarySummary• Time-dependent Dalitz plot analysis opens new possibilities in study of penguin decays:
- measurement of asymmetry angle (instead of sine of the angle)- removes dilution for final states with opposite CP - model uncertainties included in fit
BABAR (sin2) Belle (sin2)
KKK0 0.661 ±0.12 ± 0.06
(all KKK0)
0.68 ±0.15 ±0.03 +0.21 −0.13
(excluding KS, KKKS only)
K0 0.12 ±0.31 ±0.10 0.50 ±0.21 ±0.06
f0(KK)K0 0.31± 0.32 ± 0.07 No result (f0K+K-)
• Lower sin2 than expected consistent with trend seen in other analyses• CPV results from penguin decays still intriguing, but need to work harder to observe new phenomena
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Sep 11, 2006 SLUO Anual Meeting 2006 16
More SlidesMore Slides
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Sep 11, 2006 SLUO Anual Meeting 2006 17
Angular MomentsAngular Moments
L
HLL cosP P
Piδ
S AeAA
- Decay rate in terms of moments of Legendre polynomials:
- Model-independent approach to extract CP content [BABAR, PRD71,091102]
- Assume S and P-waves decaying into K+K-
S-wave
P-wave
- Moments <PL> computed using sPlots[Pivk, Le Diberder, Nucl.Inst.Meth. A555]
- Fraction of P-wave:
0
2
P
P
45
Pf
K+
KKS
H
(angular momentum conservation)
K+K- CMS
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Sep 11, 2006 SLUO Anual Meeting 2006 18
BABAR/Belle 2006: B0 KKKS
Belle’s estimate (±10MeV): • K+K+K- Dalitz (140 fb-1) ~2.75±0.14%• ignores f0(980)
Belle’s helicity plot(±10MeV under mass)[Hazumi ICHEP06 talk]
BABARBABAR
B0K+K-K0 (347MBB)(bkg substracted)hep-ex/0607112
B+K+K+K- (230MBB) PRD72,032003(2006)
BelleBelle
non-zero yield below and above peak!
Estimates from BABAR results (±10MeV):• K+K+K- moments (347MBB): ~8±1%• K+K-K0 Dalitz (347MBB) and K+K+K- Dalitz (230MBB): f0K~10±3%, NR~3±1% -> 13±3%
Belle’s fitting range
Old BABAR fitting range
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Sep 11, 2006 SLUO Anual Meeting 2006 19
Dalitz Plot Isobar ModelDalitz Plot Isobar Model
LresLBres ZTFFf
Blatt-Weisskopf form factors Breit-Wigner Angular correlations
i
j
k
{ij}res
i
j
k
BF LF∑res
Resonant amplitude:
“Non-resonant”
)(mΓimmm1
2ijtotres
2ij
2res
)(pF mm
pp
Γ)(sΓ iLij
res
12L
i0
iresijtot
B
B
Single channel BW
Coupled channel BW (Flatté)
)gρg(ρimmm1
πππKKKres2ij
2res
2
φf
Decayamplitude
=
“resonant”