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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
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)
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
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
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
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!!
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
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
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
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
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
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
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
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
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
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
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
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”