recent developments on ckm angles · 2014. 3. 12. · 2)sind b sing 1+(rf d) 2 +2rf d cosd f d...
Post on 06-Aug-2021
0 Views
Preview:
TRANSCRIPT
Recent developments on CKM angles
Wei Wang
Helmholtz-Institut fur Strahlen- und Kernphysik, Bonn
Flavor Physics & CP Violation, Buzios, Rio, 19-24 May 2013(FPCP 2013)
Wei Wang (HISKP) CKM angles Buzios, Rio, 19-24 May 2013 1 / 24
Why are we particularly interested indetermining the CKM angles?
Wei Wang (HISKP) CKM angles Buzios, Rio, 19-24 May 2013 2 / 24
■ Direct search at hadron colliderHiggs vs New particles beyond the SM
■ Flavor PhysicsTest of SMIndirect search of new degree of freedom
Wei Wang (HISKP) CKM angles Buzios, Rio, 19-24 May 2013 3 / 24
Why are we interested in determing CKM angles?
CKM unitarity triangle and
CPV parameter convention
Wolfenstein parametrization Irreducible complex phase
causes CP Violation (CPV)!
Comprehensive test;
measure all the angles and
sides.
B system : very good place, all the angles are O(0.1)!
(β)
(α)
(γ)
b→ u
transition B0-B0 mixing
Wei Wang (HISKP) CKM angles Buzios, Rio, 19-24 May 2013 4 / 24
StatusLeft: evolution plot (UTFit ); Right: HFAG Average of sin(2β/ϕ1) from all experiments.
year
sin
2β sin(2β) ≡ sin(2φ1)
-2 -1 0 1 2 3
BaBarPRD 79 (2009) 072009
0.69 ± 0.03 ± 0.01
BaBar χc0 KSPRD 80 (2009) 112001
0.69 ± 0.52 ± 0.04 ± 0.07
BaBar J/ψ (hadronic) KSPRD 69 (2004) 052001
1.56 ± 0.42 ± 0.21
BellePRL 108 (2012) 171802
0.67 ± 0.02 ± 0.01
ALEPHPLB 492, 259 (2000)
0.84 +-01
.
.80
24 ± 0.16
OPALEPJ C5, 379 (1998)
3.20 +-12
.
.80
00 ± 0.50
CDFPRD 61, 072005 (2000)
0.79 +-00
.
.44
14
LHCbLHCb-PAPER-2012-035
0.73 ± 0.07 ± 0.04
Belle5SPRL 108 (2012) 171801
0.57 ± 0.58 ± 0.06
AverageHFAG
0.68 ± 0.02
H F A GH F A GCKM 2012
PRELIMINARY
β = ϕ1 = (21.5+0.8−0.7)
◦.
Wei Wang (HISKP) CKM angles Buzios, Rio, 19-24 May 2013 5 / 24
Status
Average taken from CKMFitter
(deg)α0 20 40 60 80 100 120 140 160 180
p-va
lue
0.0
0.2
0.4
0.6
0.8
1.0
CKM12 (prel.)
CKMf i t t e r
(BABAR)πρ/ρρ/ππ (Belle)πρ/ρρ/ππ (WA)πρ/ρρ/ππ
CKM fit
(deg)γ0 20 40 60 80 100 120 140 160 180
p-va
lue
0.0
0.2
0.4
0.6
0.8
1.0
Winter 12
CKMf i t t e r
Full Frequentist treatment on MC basis
D(*) K(*) GLW + ADSD(*) K(*) GGSZ Combined
CKM fit
WA
α = ϕ2 = (88.5+4.7−4.4)
◦ γ = ϕ3 = (66 ± 12)◦.α + β + γ = (176 ± 13)◦.
Wei Wang (HISKP) CKM angles Buzios, Rio, 19-24 May 2013 6 / 24
Status
Recent results for γ from B → DK (from HFAG)
BaBar Belle LHCbγ (69+17
−16)◦ (68+15
−14)◦ (71.1+16.6
−15.7)◦
rB 0.092+0.013−0.012 0.112+0.014
−0.015 0.0919+0.0083−0.0082
δB (105+16−17)
◦ (116+18−21)
◦ (112.0+12.6−15.5)
◦
Ref. arXiv:1301.1029 CKM2012 preliminary LHCb-CONF-2012-032
Naive average: γ = (69.3 ± 9.3)◦.α + β + γ = (179.3 ± 10.4)◦.
Wei Wang (HISKP) CKM angles Buzios, Rio, 19-24 May 2013 7 / 24
Development:New Measurements
+ New Channels+ New Effects
Wei Wang (HISKP) CKM angles Buzios, Rio, 19-24 May 2013 8 / 24
New measurements of α/ϕ2:cf talk by Pit VANHOEFER in this conference
New measurements of β/ϕ1:cf talk by Riccardo DE SANGRO in this conference
New measurements of γ/ϕ3:cf talk by Matteo RAMA, Till Moritz KARBACH in this conference
We shall do everything to reduce the errors.
Wei Wang (HISKP) CKM angles Buzios, Rio, 19-24 May 2013 9 / 24
New Channels
Wei Wang (HISKP) CKM angles Buzios, Rio, 19-24 May 2013 10 / 24
γ = ϕ3 constraint via B → DK
Principle Methods and ReferenceD0 or D∗0 → CP eigenstate GLW PLB 253, 483 (1991)
PLB265,172(1991)Enhance CP asymmetry by ADS, PRL78,3357(1997)
suppressed D decay PRD63,036005(2001)Dalitz distribution in three- GGSZ, PRD68,054018(2003)
body D decay (KSπ+π−, etc)
Very clean weak phase information
Wei Wang (HISKP) CKM angles Buzios, Rio, 19-24 May 2013 11 / 24
γ from B → DK∗0,2 in GLW method
In B → DCPK, sensitive to a small ratio of interfering amplitudes.√
2A(B+ → D0±K+) = A(B+ → D0K+)± A(B+ → D0K+),
√2A(B− → D0
±K−) = A(B− → D0K−)± A(B− → D0K−),
Vanishing decay constant for K∗0,2:
⟨K∗−0 (1430)|sγµu|0⟩ = fK∗
0pµ
K∗0∼ 0, ⟨K∗−
2 (1430)|sγµu|0⟩ = 0.
Color-allowed and color-suppressed amplitudes are comparable inB → DK∗
0,2!
Wei Wang (HISKP) CKM angles Buzios, Rio, 19-24 May 2013 12 / 24
γ from B → DK∗0,2 in GLW method
50 60 70 80 90 1002345678
Γ HaL
RC
P+K
0*
50 60 70 80 90 100
-0.5
0.0
0.5
Γ HbL
AC
P+K
0*
50 60 70 80 90 1000.51.01.52.02.53.03.5
Γ HcL
RC
P+K
0*
50 60 70 80 90 100-1.0
-0.5
0.0
0.5
1.0
Γ HdL
AC
P+K
0*
50 60 70 80 90 100
0.8
1.0
1.2
1.4
Γ HeL
RC
P+K
0*
50 60 70 80 90 100
-0.4-0.2
0.00.20.4
Γ HfL
AC
P+K
0*
Large CPasymmetriesare expectedin B → DK0,2.Even betterin B → Dπcounterpart.WW, 1110.5194
Wei Wang (HISKP) CKM angles Buzios, Rio, 19-24 May 2013 13 / 24
Determining γ via Three-body B → KKK andB → Kππ:
Solution Fit 1 Fit 2 Fit 3
I 31+3−2 31 ± 2 31+2
−3
II 76+3−2 78+2
−3 77 ± 3III 261+2
−4 259 ± 3 258+4−3
IV 314 ± 2 315 ± 2 315+3−2
Bhattacharya, Imbeault,
London, 1303.0846
Based on SU(3)symmetry analysis of
the Dalitz plot.cf David LONDON’stalk in this conference
α + β + γ = (187 ± 5.6)◦
Wei Wang (HISKP) CKM angles Buzios, Rio, 19-24 May 2013 14 / 24
Determining γ via Three-body B → KKK andB → Kππ:
Solution Fit 1 Fit 2 Fit 3
I 31+3−2 31 ± 2 31+2
−3
II 76+3−2 78+2
−3 77 ± 3III 261+2
−4 259 ± 3 258+4−3
IV 314 ± 2 315 ± 2 315+3−2
Bhattacharya, Imbeault,
London, 1303.0846
Based on SU(3)symmetry analysis of
the Dalitz plot.cf David LONDON’stalk in this conference
α + β + γ = (187 ± 5.6)◦
Wei Wang (HISKP) CKM angles Buzios, Rio, 19-24 May 2013 14 / 24
New Effects
Wei Wang (HISKP) CKM angles Buzios, Rio, 19-24 May 2013 15 / 24
CPA effects on γ
Large CPA in D0 → (K+K−, π+π−) was observed by LHCb, CDF and Belle (2011, 2012):
indCPa
-0.02 -0.015 -0.01 -0.005 0 0.005 0.01 0.015 0.02
dir
CP
a∆
-0.02
-0.015
-0.01
-0.005
0
0.005
0.01
0.015
0.02 BaBarCPA∆ Belle Prelim.CPA∆ LHCbCPA∆ CDF Prelim.CPA∆
LHCbΓA BaBar Prelim.ΓA Belle Prelim.ΓA
∆adirCP
= aK+K− ,dirCP − aπ+π− ,dir
CP= (−0.678 ± 0.147)%
Question: How large is the impact on the extraction of γ ifACP ∼ O(0.1 − 1%)?
Warning: Large CPA is not confirmed by the recent LHCb measurement: 1303.2614;LHCb-CONF-2013-003
Wei Wang (HISKP) CKM angles Buzios, Rio, 19-24 May 2013 16 / 24
CPA effects on γ
Large CPA in D0 → (K+K−, π+π−) was observed by LHCb, CDF and Belle (2011, 2012):
indCPa
-0.02 -0.015 -0.01 -0.005 0 0.005 0.01 0.015 0.02
dir
CP
a∆
-0.02
-0.015
-0.01
-0.005
0
0.005
0.01
0.015
0.02 BaBarCPA∆ Belle Prelim.CPA∆ LHCbCPA∆ CDF Prelim.CPA∆
LHCbΓA BaBar Prelim.ΓA Belle Prelim.ΓA
∆adirCP
= aK+K− ,dirCP − aπ+π− ,dir
CP= (−0.678 ± 0.147)%
Question: How large is the impact on the extraction of γ ifACP ∼ O(0.1 − 1%)?
Warning: Large CPA is not confirmed by the recent LHCb measurement: 1303.2614;LHCb-CONF-2013-003
Wei Wang (HISKP) CKM angles Buzios, Rio, 19-24 May 2013 16 / 24
CPA effects on γ
Large CPA in D0 → (K+K−, π+π−) was observed by LHCb, CDF and Belle (2011, 2012):
indCPa
-0.02 -0.015 -0.01 -0.005 0 0.005 0.01 0.015 0.02
dir
CP
a∆
-0.02
-0.015
-0.01
-0.005
0
0.005
0.01
0.015
0.02 BaBarCPA∆ Belle Prelim.CPA∆ LHCbCPA∆ CDF Prelim.CPA∆
LHCbΓA BaBar Prelim.ΓA Belle Prelim.ΓA
∆adirCP
= aK+K− ,dirCP − aπ+π− ,dir
CP= (−0.678 ± 0.147)%
Question: How large is the impact on the extraction of γ ifACP ∼ O(0.1 − 1%)?
Warning: Large CPA is not confirmed by the recent LHCb measurement: 1303.2614;LHCb-CONF-2013-003
Wei Wang (HISKP) CKM angles Buzios, Rio, 19-24 May 2013 16 / 24
CPA effects on γ in GLW method
A(D0 → f ) = TfD(1 + rf
De−iγ+iδfD ),
A(D0 → f ) = TfD(1 + rf
Deiγ+iδfD ),
AK+ =
B(B− → D0+K−)−B(B+ → D0
+K+)
B(B− → D0+K−) + B(B+ → D0
+K+)
=1
RK+
[(1 − (rK
B )2)Adir
CP(D0 → f ) +
2rKB (1 + (rf
D)2) sin δK
B sin γ
1 + (rfD)
2 + 2rfD cos δ
fD cos γ
]≡ 2rK
B sin δKB sin γeff /RK
+. (1)
∆γ ≡ γeff − γ = O(AdirCP/rK
B ) ∼ a few degrees!
WW, 1211.4539; Martone, Zupan, 1212.0165; Bhattacharya, London, Gronau, Rosner, 1301.5631
Wei Wang (HISKP) CKM angles Buzios, Rio, 19-24 May 2013 17 / 24
CPA effects on γ
The direct CP asymmetry effects in R+:
RK+ = 2
B(B− → D0+K−) + B(B+ → D0
+K+)
B(B− → D0K−) + B(B+ → D0K+)
= 1 + (rKB )
2 +2rK
B cos δB[(1 + (rfD)
2) cos γ + 2rfD cos δ
fD]
1 + (rfD)
2 + 2rfD cos γ cos δ
fD
≡ 1 + (rKB )
2 + 2rKB cos δK
B cos γeff (2)
-1.0 -0.5 0.0 0.5 1.0
-0.6
-0.4
-0.2
0.0
0.2
0.4
0.6
ACP H%L
DΓH°L
Depending on the strongphase difference inD → K+K−/π+π− de-cays, the shift of γ can reach0.5◦!
Wei Wang (HISKP) CKM angles Buzios, Rio, 19-24 May 2013 18 / 24
CPA effects on γ in B → DK (D → KSπ+π−)Dalitz plot analysis
Resonance Contribution to γ bias (◦)Amplitude Phase
CF K∗(892) +0.09 ± 0.27 −0.87 ± 2.09CF K∗
0 (1430) −0.05 ± 0.05 −0.23 ± 0.35CF K∗
2 (1430) +0.07 ± 0.12 −0.04 ± 0.07CF K∗(1410) +0.01 ± 0.02 −0.21 ± 0.37ρ(770) +0.27 ± 0.89 −0.24 ± 0.97ω −0.32 ± 0.21 −0.25 ± 0.36f0(980) −0.02 ± 0.13 −0.02 ± 0.38f2(1270) −0.09 ± 0.10 −0.06 ± 0.09f0(1370) −0.09 ± 1.06 +0.01 ± 0.26ρ(1450) −0.02 ± 0.19 −0.09 ± 0.22σ1 −0.31 ± 0.78 −0.09 ± 0.62σ2 −0.07 ± 0.08 −0.04 ± 0.56DCS K∗(892) −0.04 ± 0.24 +0.22 ± 0.15DCS K∗
0 (1430) +0.23 ± 0.44 −0.12 ± 0.21DCS K∗
2 (1430) −0.30 ± 0.56 +0.03 ± 0.04Total −2.65 ± 3.17
Bondar, Dolgov, Poluektov,Vorobiev, arXiv:1303.6305CP violating contributions inD → KSπ+π− decay to the γmeasurement bias
Wei Wang (HISKP) CKM angles Buzios, Rio, 19-24 May 2013 19 / 24
CPA effects on γ in B → DK (D → KSπ+π−)Dalitz plot analysis
Resonance Contribution to γ bias (◦)Amplitude Phase
CF K∗(892) +0.09 ± 0.27 −0.87 ± 2.09CF K∗
0 (1430) −0.05 ± 0.05 −0.23 ± 0.35CF K∗
2 (1430) +0.07 ± 0.12 −0.04 ± 0.07CF K∗(1410) +0.01 ± 0.02 −0.21 ± 0.37ρ(770) +0.27 ± 0.89 −0.24 ± 0.97ω −0.32 ± 0.21 −0.25 ± 0.36f0(980) −0.02 ± 0.13 −0.02 ± 0.38f2(1270) −0.09 ± 0.10 −0.06 ± 0.09f0(1370) −0.09 ± 1.06 +0.01 ± 0.26ρ(1450) −0.02 ± 0.19 −0.09 ± 0.22σ1 −0.31 ± 0.78 −0.09 ± 0.62σ2 −0.07 ± 0.08 −0.04 ± 0.56DCS K∗(892) −0.04 ± 0.24 +0.22 ± 0.15DCS K∗
0 (1430) +0.23 ± 0.44 −0.12 ± 0.21DCS K∗
2 (1430) −0.30 ± 0.56 +0.03 ± 0.04Total −2.65 ± 3.17
Bondar, Dolgov, Poluektov,Vorobiev, arXiv:1303.6305CP violating contributions inD → KSπ+π− decay to the γmeasurement bias
Wei Wang (HISKP) CKM angles Buzios, Rio, 19-24 May 2013 19 / 24
ϕs
V*ts!
_ _
t!
st!
b
b
s _
w!w! Bs!Bs!_!
mixing induced CP violation
CKM ansatz: CPV is due to a complex phase in the quark mixing matrix
Bs
Bs !"#�Bs
Bs
A
A!Į!
= !"#�
A
A!Į!
Bs-Bs mixing
_
ȡs=arg[−VtsVtb*/VcsVcb*]Ď
Wei Wang (HISKP) CKM angles Buzios, Rio, 19-24 May 2013 20 / 24
ϕs from Bs → J/ψϕ
Bs0 B
s0
Bs(Bs)→J/ψ(µ+µ-) φ(K+K-) can proceed directly or through mixing
Angular analysis to disentangle different CP-eigenstates
Wei Wang (HISKP) CKM angles Buzios, Rio, 19-24 May 2013 21 / 24
ϕs from Bs → J/ψϕ
LHCb
arXiv:1112.3183
SM :φs= −2β
s= −0.04
LHCb :φs= 0.15± 0.18± 0.06
[rad]sφ
0 2 4
]-1
[
ps
sΓ
∆
-0.2
-0.1
0
0.1
0.2 best fit68% CL
90% CL
95% CL
Standard Model
LHCb
Penguin pollutions?
Wei Wang (HISKP) CKM angles Buzios, Rio, 19-24 May 2013 22 / 24
ϕs from Bs → J/ψϕ
X.Liu, WW, Y.H. Xie,
in preparation.
Bhattacharya, A. Datta, D. London 1209.1413
4φs!
λij=ηi
j q
p
Aij
Aij≡| λi
j| e
−iφij
Wei Wang (HISKP) CKM angles Buzios, Rio, 19-24 May 2013 23 / 24
Conclusions
■ New measurements are reducing the errors and soon we will beable to test the unitarity of CKM:
α + β + γ = 180◦? :: (179.3 ± 10.4)◦.
■ New Channels can provide complementary power and useful toincrease the statistical significance.
■ There are always something unexpected!
Thank you for your attention!
Wei Wang (HISKP) CKM angles Buzios, Rio, 19-24 May 2013 24 / 24
Backup: STOP
Wei Wang (HISKP) CKM angles Buzios, Rio, 19-24 May 2013 25 / 24
ϕs from Bs → J/ψϕ
Wei Wang (HISKP) CKM angles Buzios, Rio, 19-24 May 2013 26 / 24
top related