d0 mixing - kek · 2008. 12. 12. · b. golob, ljubljana univ. d0 oscillations 2 superbelle, kek,...
TRANSCRIPT
-
B. Golob, Ljubljana Univ. D0 Oscillations 1 SuperBelle, KEK, Dec 2008
B. GolobUniversity of Ljubljana,Jožef Stefan Institute
&Belle Collaboration
D0 Mixing@ SuperBelle
Universityof Ljubljana
“Jožef Stefan” Institute
Outline1. CP states2. Wrong sign (non-CP)3. t-dependent Dalitz4. Average5. Constraints on NP6. Prospects & Summary
-
B. Golob, Ljubljana Univ. D0 Oscillations 2 SuperBelle, KEK, Dec 2008
1. D0 →KK/ππDecays to CP eigenstates
K+K-/π+π-and K-π+ratio
1st evidence for D0 mixing
+
)%25.032.031.1( ±±=CPyBelle, PRL 98, 211803 (2007), 540fb-1
BaBar, arXiv:0712.2249, 384fb-1
=
)%13.039.024.1( ±±=CPy
D0 → K+K- / π+π-, CP evenno CPV: CP|D1> = |D1> ⇒ τ=1/Γ1;K-π+: mixture of CP states ⇒ τ=f(1/Γ1,1/Γ2)
yxAy
KKKy
CPVno
M
CP
=−
≈−≡ +−+−
ϕϕ
τπτ
sin2
cos
1)()(
S. Bergman et al., PLB486, 418 (2000)
-
B. Golob, Ljubljana Univ. D0 Oscillations 3 SuperBelle, KEK, Dec 2008
1. D0 →KK/ππDecays to CP eigenstates
0sincos2
)()()()(
)()()()(
00
00
00
00
CPVno
M
intmixf
dec
fCP
xyAKKDKKDKKDKKDA
aaafDfDfDfDA
=−≈
≈→+→→−→
=
++=
=→Γ+→Γ→Γ−→Γ
=
−+−+
−+−+
Γ
ϕϕ
ττττ
)%08.036.026.0( ±±=ΓA
)%15.030.001.0( ±±=ΓA
BaBar, arXiv:0712.2249, 384fb-1
t-dependentBelle, PRL 98, 211803 (2007), 540fb-1
Belle, arXiv:0807.0148, 540fb-1
t-integratedACPmeas =Aεπ + AFB + ACPf
Aεπ : comparison of tagged/untagged (D*+ →D0π+),D0 →K-π+AFB: asymmetric f(cosθCMS)
)%13.034.000.0( ±±=KKCPA
)%11.030.043.0( ±±−=KKCPA
ACPKK ACPππ
AFBKK AFBππ
|cosθCMS| |cosθCMS|
|cosθCMS||cosθCMS|
BaBar, PRL 100, 061803 (2007),
386fb-1
-
B. Golob, Ljubljana Univ. D0 Oscillations 4 SuperBelle, KEK, Dec 2008
D0 →KK/ππSystematics breakdown
[ ]22
0
2 %10.0/%39.0
+⎥⎥⎦
⎤
⎢⎢⎣
⎡=
��yCPσ
[ ] 22
0
2 %06.0/%33.0
+⎥⎥⎦
⎤
⎢⎢⎣
⎡=Γ
��Aσ
�0=540 fb-1
Belle, PRL 98, 211803 (2007), 540fb-1
largest contributions (yCP):acceptance: 0.12% scalingequal t0 assumption: 0.14% scalingbkg signal/sideband diff.: 0.09% non-scalingvariation of select.: 0.11% scalingtotal: 0.25%non-scaling: 0.10%
scalingnon-scaling
Aεπ stat.Aεπ binningtotal:non-scaling: 0.06%
0.09%0.05%0.33%
largest contrib. σ(ACPKK):
[ ] 22
0
2 %06.0/%32.0
+⎥⎥⎦
⎤
⎢⎢⎣
⎡=
��ACPσ
-
B. Golob, Ljubljana Univ. D0 Oscillations 5 SuperBelle, KEK, Dec 2008
D0 →KK/ππProjected sensitivity
[ ]22
0
2 %10.0/%39.0
+⎥⎥⎦
⎤
⎢⎢⎣
⎡=
��yCPσ
[ ] 22
0
2 %06.0/%33.0
+⎥⎥⎦
⎤
⎢⎢⎣
⎡=Γ
��Aσ
�0=540 fb-1
σ(yCP)[%]
σ(AΓ)[%]
� [ab-1]
16 ab-1
8 ab-1
x ab-1 σstat=σsyst
-
B. Golob, Ljubljana Univ. D0 Oscillations 6 SuperBelle, KEK, Dec 2008
2. D0 →KπWS decays (non-CP)
D*+ → D0 πslow+ D0 → D0 → K+ π-
DCS decays ⇒ interference;
t
mixinterf
DDCS
D etyxtyRR
tDK
−
−+
⎥⎥⎥
⎦
⎤
⎢⎢⎢
⎣
⎡+
++
∝
222
.
20
4'''
)(π
δδδδ
sincos'sincos'
xyyyxx
−=+=
t-dependence to separate DCS/mixed
BaBar, PRL 98, 211802 (2007), 384fb-1
1st evidence for D0 mixing
1σ3σ
5σ
likelihoodcontours
3.9σ
Belle, PRL 96, 151801 (2006), 400fb-1
δ: unknown strong phase DCS/CF
3.8σ 1σ
3σ
CDF, PRL 100, 121802 (2008), 1.5fb-1
)%31.044.097.0('10)21.030.022.0(' 32
±±=⋅±±−= −
yx
)%06.0('
10)18.0('
39.040.023.021.0 32
±=
⋅±= −
y
x)%76.085.0('
10)35.012.0(' 32
±=⋅±−= −
yx
likelihoodcontours
95% FC confidence region
-
B. Golob, Ljubljana Univ. D0 Oscillations 7 SuperBelle, KEK, Dec 2008
largest contrib.:Δx’2, Δy’ [σstat]
+0.3 -0.2 p* variation ±0.2 ±0.2 fixed decay-t parameters+0.2 -0.2 σt effect on fractions±0.3 ±0.3 total scaling ±0.5 ±0.5 total±0.4 ±0.4 non-scaling
D0 →Kπ
scales with data/MC
[ ]232
0
32
2' 1009.0/1023.0 −− ⋅+
⎥⎥⎦
⎤
⎢⎢⎣
⎡ ⋅=
��xσ [ ] 2
2
0
2' %16.0/
%42.0+
⎥⎥⎦
⎤
⎢⎢⎣
⎡=
��yσ
�0=400 fb-1
scales with data
[ ] statisyst m σσ 2/12∑=σsyst ≈ 0.5 σstat
scales with data
[ ] 22
0
2 %7.1/%4.4
+⎥⎥⎦
⎤
⎢⎢⎣
⎡=
��ADσ assumed same fraction of scaling/non-scaling
systematics as for x’2
Belle, PRL 96, 151801 (2006), 400fb-1
Systematics breakdown
-
B. Golob, Ljubljana Univ. D0 Oscillations 8 SuperBelle, KEK, Dec 2008
D0 →Kπ
�0=400 fb-1
σ(x’2) [10-3]
σ(y’) [%]
� [ab-1]
Projected sensitivity
[ ]232
0
32
2' 1009.0/1023.0 −− ⋅+
⎥⎥⎦
⎤
⎢⎢⎣
⎡ ⋅=
��xσ
[ ] 22
0
2' %16.0/
%42.0+
⎥⎥⎦
⎤
⎢⎢⎣
⎡=
��yσ
[ ] 22
0
2 %7.1/%4.4
+⎥⎥⎦
⎤
⎢⎢⎣
⎡=
��ADσ
x ab-1 σstat=σsyst
-
B. Golob, Ljubljana Univ. D0 Oscillations 9 SuperBelle, KEK, Dec 2008
3. D0 →KSππt-dependent Dalitz analyses
different types of interm. states;CF: D0 → K*-π+DCS: D0 → K*+π-CP: D0 → ρ0 KS
if f = f ⇒ populate same Dalitz plot; relative phases determined (unlike D0 → K+π-);
t-dependence:regions of Dalitz plane →specific t dependence f(x, y);
[ ][ ]titi
titi
S
eemmpq
eemm
tDKtmm
21
21
),(21
),(21
)(),,(
22
22
022
λλ
λλ
ππ
−−+−
−−+−
−++−
−
++
=≡
A
A
M
λ1,2=f(x,y);
D0 →KS π+π-
access directly
x, y
D0→f
D0→f
rad
pq
yx
)09.024.0(
86.0/
30.028.0
09.010.0
29.030.0
14.010.016.013.0
)%24.033.0()%29.080.0(
±±−=
±±=
±±=±±=
ϕ
Belle, PRL 99, 131803 (2007), 540fb-1
D0 →KS π+π-most accurate x
-
B. Golob, Ljubljana Univ. D0 Oscillations 10 SuperBelle, KEK, Dec 2008
largest model dependence [10-4]: Δx Δy
-10.4 +0.1 K* DCS/CF + 6.9 -2.7-5.1 -4.3 Γ(q2) const.
---------------------------------+10 +6 Total model dep. -14 -8
experimental (major sources): Δx Δy
+7.6 -7.8 p* variation -5.6 -5.7 Dalitz pdf for bkg. from
different t bins -----------------------
+9 +8 Total experimental-7 -12
D0 →KSππ
better underst. of DCS/CF;arbitrary ½ of uncertainty takenas scaling;all other model dependencenon-scaling
±10 ± 7 model non-scaling
all scaling
±10 ±7 total non-scaling
[ ] 22
0
2 %10.0/%31.0
+⎥⎥⎦
⎤
⎢⎢⎣
⎡=
��xσ
[ ] 22
0
2 %07.0/%26.0
+⎥⎥⎦
⎤
⎢⎢⎣
⎡=
��yσ
�0=540 fb-1
Belle, PRL 99, 131803 (2007), 540fb-1Systematics breakdown
-
B. Golob, Ljubljana Univ. D0 Oscillations 11 SuperBelle, KEK, Dec 2008
model dependence: Δ|q/p| Δφ [rad]
±0.08 ±0.06
experimental: Δ|q/p| Δφ [rad]
+0.06 +0.06 p* variation +0.03 -0.05 bkg. decay t parameters
D0 →KSππ
±0.08 ±0.06 model non-scaling
scales with data/MC
±0.08 ±0.06 total non-scaling
[ ] 22
0
2|/| 08.0/
30.0+
⎥⎥⎦
⎤
⎢⎢⎣
⎡=
��pqσ [ ] 2
2
0
2 06.0/
30.0 radrad +⎥⎥⎦
⎤
⎢⎢⎣
⎡=
��ϕσ
�0=540 fb-1
scales with data/MC
Systematics breakdown
-
B. Golob, Ljubljana Univ. D0 Oscillations 12 SuperBelle, KEK, Dec 2008
D0 →KSππ
[ ] 22
0
2|/| 08.0/
30.0+
⎥⎥⎦
⎤
⎢⎢⎣
⎡=
��pqσ
[ ] 22
0
2 06.0/
30.0 radrad +⎥⎥⎦
⎤
⎢⎢⎣
⎡=
��ϕσ
�0=540 fb-1
σ(x) [%]σ(y) [%]σ(|q/p|)σ(φ) [rad]
� [ab-1]
[ ] 22
0
2 %10.0/%31.0
+⎥⎥⎦
⎤
⎢⎢⎣
⎡=
��xσ
[ ] 22
0
2 %07.0/%26.0
+⎥⎥⎦
⎤
⎢⎢⎣
⎡=
��yσ
Projected sensitivity
7 ab-1
7 ab-113 ab-1
x ab-1 σstat=σsyst
-
B. Golob, Ljubljana Univ. D0 Oscillations 13 SuperBelle, KEK, Dec 2008
4. AverageHFAG χ2 fit
)%8.01.0(049.0004.0
054.0894.0
)%003.0336.0(9.46.24
)%064.0813.0()%095.0832.0(
±−=±−=
±=
±=°±°=
±=±=
D
D
K
Arad
pqR
yx
ϕ
δ π
1, 2, 3 σ @ 50 ab-1
E. Barberio et al. (HFAG), arXiv:0808.1297& http://www.slac.stanford.edu/xorg/hfag/
50 ab-1
only KK/ππ, Kπ and Ksππprojected sensitivities included
-
B. Golob, Ljubljana Univ. D0 Oscillations 14 SuperBelle, KEK, Dec 2008
Average
)%8.01.0(049.0004.0
054.0894.0
)%003.0336.0(9.46.24
)%064.0813.0()%095.0832.0(
±−=±−=
±=
±=°±°=
±=±=
D
D
K
Arad
pqR
yx
ϕ
δ π
HFAG χ2 fit
E. Barberio et al. (HFAG), arXiv:0808.1297& http://www.slac.stanford.edu/xorg/hfag/
1, 2, 3 σ @ 50 ab-1
50 ab-1
only KK/ππ, Kπ and Ksππprojected sensitivities included
-
B. Golob, Ljubljana Univ. D0 Oscillations 15 SuperBelle, KEK, Dec 2008
5. Constraints on NPconstraints from mixing
existing constraints already now greatly improved for many NP models;example of R SUSY:
E. Golowich et al., PRD76, 095009 (2007)
D0 D0iL�~
iL�~k
Rd kRd
D0 D0iL�kR
d~
iL�
kRd~
|x|
R couplings R couplings
kRdm~
[GeV]
50 ab-1
50 ab-1
-
B. Golob, Ljubljana Univ. D0 Oscillations 16 SuperBelle, KEK, Dec 2008
Constraints on NPconstraints from CPV:SCS decays (probing penguins);small in SM, small DCPV;
SUSY: squark-gluino loops;
CF: c → sdu (K-π+)SCS: c → qqu (q=s, K+K-)DCS: c → dsu (K+π-)
c uW±
d, s, bVcq Vuq
g q
q
Y. Grossman et al., PRD75, 036008 (2007)
values of ˜m and m(g˜ ) for whichrf=1%
constraint from mixing|M12|
m(g˜ )
contrib. to ΔC=1 enhancedcompared to ΔC=2 by m(g˜ )/mc⇒ sensitivity of mixing to this contrib.
small compared to sensitivity of afdir
SMf
NPff
ffff
dir
fdirCP
AArra
aAA
/sinsin2
=
==+Γ
δϕ
-
B. Golob, Ljubljana Univ. D0 Oscillations 17 SuperBelle, KEK, Dec 2008
Constraints on NPconstraints from CPV:squark-gluino loops contribution
)%34.011.0(sinsin2
±−=== fff
fdir ra δϕ
Belle, arXiv:0807.0148, 540fb-1
BaBar, arXiv:0712.2249, 384fb-1Belle, PRL 98, 211803 (2007), 540fb-1
BaBar, PRL 100, 061803 (2007), 386fb-1
if φf, δf ∼ �(1)all shown values excluded (rf=1%)
Y. Grossman et al., PRD75, 036008 (2007)
m(g˜ )50 ab-1: σ(adirKK)=0.10%
mmLRuc
~/2 ~~δ
values of ˜m and m(g˜ ) for whichrf=1%
constraint from mixing
-
B. Golob, Ljubljana Univ. D0 Oscillations 18 SuperBelle, KEK, Dec 2008
Notes
@50 ab-1: σ(x), σ(y) ∼0.05-0.1%, σ(|q/p|), σ(φ) ∼ 0.05, σ(AD) ∼ 0.5-1%
most D0 oscillation studies systematics dominatedneed very detailed studies
detector induced charge asymm.decay t bias (detector alignment)...
obtaining stringent constraints on NP models, useful to identify possible NP signals from LHC
CPV parameters sensitivity not over full SM rangemore modes (KsKK, πππ0,....)
common systematics (Dalitz models)
-
B. Golob, Ljubljana Univ. D0 Oscillations 19 SuperBelle, KEK, Dec 2008
Super τ charm factorySummary on D0 mixing at Super τ charm factory, Novosibirsk
Super-B factory at initial stage σ(x), σ(y) ~ �( 0.1%)σ(ACP) ~ �(0.1%);δKπ precisely determined from combination of measurements;
RM, y @ charm factory of lower accuracy than @ B factory(unless t-dependent meas. with asymmetric collider);
various options for CPV;several competitive or better, and complementary to B-factory(including D0D0 with C=+1);many other possibilities (Dalitz studies, triple product correlations, T-odd moments, ...)
-
B. Golob, Ljubljana Univ. D0 Oscillations 20 SuperBelle, KEK, Dec 2008
Phenomenology bckupDCPV in SCS decays to CP states:
[ ][ ])(
)(
1
1CPfCPf
CP
TCPf
CPCP
CPfCPf
CP
TCPf
CPCP
if
iTff
if
iTff
ereAA
ereAAΦ−−
Φ+
+=
+=δϕ
δϕ
ffff
dir
fdirCP
fdirintmixCP
intmix
raaAA
aaaAaaA
δϕ sinsin2
)(
==+
++=+−≈
Γ
Γ�(10-2) contrib. of adirf
M12 for D0:
⎟⎟⎠
⎞⎜⎜⎝
⎛+⎟
⎠⎞
⎜⎝⎛+
Γ= 2
22
12 121
2 yxAxM MD G. Raz, PRD66, 057502 (2002)
-
B. Golob, Ljubljana Univ. D0 Oscillations 21 SuperBelle, KEK, Dec 2008
Mass insertions bckup
mass insertion approxim. (MIA): replace sum over all possible internal propagators and mixing at the vertices, with a single off-diagonal mass insertion in basis where all gauge couplings are diagonal; MIA: Taylor expanssion in mass-squared differences between intermediate particles w.r.t. chosen mass m;
example: SUSY contrib. to K0 mixing
( )
∗∗
∗∗
∑
∑
ΔΔ∝
−=Δ
ΔΔ≈∝
dj
nm
nj
dj
di
mi
dimn
Kii
nm
nj
mimnjig
jigdj
dj
di
di
K
ZmZZmZCMmmm
mmCmmmJmmmJZZZZM
1,
221
2212
222,
222224
2224121212
)~()~(
~~~
)~()~()~,~,~()~,~,~(
mixing anglesqq ~−
-
B. Golob, Ljubljana Univ. D0 Oscillations 22 SuperBelle, KEK, Dec 2008
D0 →KK/ππ bckup
scales with MCbetter detect. (MC) desc.
scales with data/MCscales with data/MCscales with data/MC
total non-scaling 0.10% 0.06%
Systematics breakdown
[ ]22
0
2 %10.0/%39.0
+⎥⎥⎦
⎤
⎢⎢⎣
⎡=
��yCPσ [ ] 2
2
0
2 %06.0/%33.0
+⎥⎥⎦
⎤
⎢⎢⎣
⎡=Γ
��Aσ �0=540 fb-1
Belle, PRL 98, 211803 (2007), 540fb-1
-
B. Golob, Ljubljana Univ. D0 Oscillations 23 SuperBelle, KEK, Dec 2008
D0 →KK/ππ bckup
scales with data
Systematics breakdown
[ ] 22
0
2 %06.0/%32.0
+⎥⎥⎦
⎤
⎢⎢⎣
⎡=
��ACPσ �0=540 fb-1
q shape difference D0/D0bkg. side/signal windowrnd πs bkg.
Aεπ stat.Aεπ binning
fit binning3/4 layer SVD
0.02%0.01%0.03%
0.09%0.05%
0.03%0.01%
source σ(ACPKK) Belle, arXiv:0807.0148, 540fb-1
-
B. Golob, Ljubljana Univ. D0 Oscillations 24 SuperBelle, KEK, Dec 2008
D0 →KK/ππ bckupSystematics breakdown
Belle, PRL 98, 211803 (2007), 540fb-1
acceptance: fit generated t for selected evts.;constant within MC stat.
equal t0: t0 diff KK/Kπ/ππ from MC, including missaligned SVD; equal within MC stat.
diff. bkg. signal/sideband:
)min()min(:
,:
,:
11
)1(0
)1()(
'
'
0
0
bbsbsbss
sbsbsbsbs
bbbbs
sb
s
bss
bsss
ppselectionsideband
ttptsideband
ttptwindowsignal
ppp
tptt
tptpt
ττττ
τττ
τττ
τ
τ
Δ−Δ=−
−=ΔΔ+=
−=ΔΔ+=
⇒
-
B. Golob, Ljubljana Univ. D0 Oscillations 25 SuperBelle, KEK, Dec 2008
model dependence [10-4]: Δx Δy
-10.3 +0.1 K*0(1430) DCS/CF -15%+ 6.9 -2.5 K*2(1430) DCS/CF -30%-1.6 -0.9 K*(1410) DCS & CF -20%
---------------------------------+10 +6 Total model dep. -14 -8
experimental (major sources): Δx Δy
+7.6 -7.8 p* variation -5.6 -5.7 Dalitz pdf for bkg. from
different t bins -----------------------
+9 +8 Total experimental-7 -12
D0 →KSππ bckup
better underst. of DCS/CF;arbitrary ½ of uncertainty takenas scaling;all other model dependencenon-scaling
±10 ± 7 model non-scaling
scales with data/MC
all scaling
±10 ±7 total non-scaling
[ ] 22
0
2 %10.0/%31.0
+⎥⎥⎦
⎤
⎢⎢⎣
⎡=
��xσ
[ ] 22
0
2 %07.0/%26.0
+⎥⎥⎦
⎤
⎢⎢⎣
⎡=
��yσ
�0=540 fb-1
Belle, PRL 99, 131803 (2007), 540fb-1Systematics breakdown
-
B. Golob, Ljubljana Univ. D0 Oscillations 26 SuperBelle, KEK, Dec 2008
D0 →KSππ bckup �0=540 fb-1Belle, PRL 99, 131803 (2007), 540fb-1Systematics breakdown
model error
better underst. of DCS/CF;arbitrary ½ of uncertainty takenas scaling;rest non-scaling
-
B. Golob, Ljubljana Univ. D0 Oscillations 27 SuperBelle, KEK, Dec 2008
D0 →KSππ bckup �0=540 fb-1Belle, PRL 99, 131803 (2007), 540fb-1Systematics breakdown
exp. error
all major sourcesscaling
-
B. Golob, Ljubljana Univ. D0 Oscillations 28 SuperBelle, KEK, Dec 2008
Systematics bckup
-
B. Golob, Ljubljana Univ. D0 Oscillations 29 SuperBelle, KEK, Dec 2008
1. Phenomenologyx and y
D0 D0K+
K-
I.I. Bigi, N. Uraltsev, Nucl. Phys. B592, 92 (2001);A.F. Falk et al., PRD69, 114021 (2004)
W+
W-D0 D0
The duration of passion is proportionate with the original resistance of the woman.H. de Balzac (1799 -1850)
unique for D0’s: down q’s loop; mixing: 30 years after discovery
222** )( dsudcdcsus mmVVVV −∝DCS SU(3) breaking
d,s,b
d,s,b
)10(|||,| 2−≤ �yx)10(|~| 5−�xdifficult to estimate
-
B. Golob, Ljubljana Univ. D0 Oscillations 30 SuperBelle, KEK, Dec 2008
D0: first two quark generations;CKM elements ≈ real;
using CKM unitarity:
bellow current exp. sensitivity;signals New Physics
1. PhenomenologyCP violation
Vcs
Vus*
D0 K-
K+
)(VVVV
Df
Df-
uscs
ubcb 3*
*
0
0
10~arg �ℑ≈⎟⎟
⎠
⎞
⎜⎜
⎝
⎛
)(0
0
0
0
0
0
2/1)2/1(
),2
1(,2
1
,
ϕδ −−
++
−≡
+≡+≡
≡
fi
D
DM
MD
D
eA
RADf
Dfpq
ApqA
Df
Df
RDf
Df
parameterization:RD ≠1: Cabbibo suppression
AD ≠0: CPV in decayAM ≠0: CPV in mixingφ ≠0 : CPV in interference
-
B. Golob, Ljubljana Univ. D0 Oscillations 31 SuperBelle, KEK, Dec 2008
2. MeasurementsE) ψ(3770) →D0D0
at threshold D0D0 in C=-1 state ⇒effective Br’s depending on mixing param.:
y, RM=(x2+y2)/2, √RDcosδ
S±: CP eigenstatese-: Xeνfit to set of single and double Br’s
Br(D0D0 →fi/fj)Br(D0 →fi)Br(D0 →fj)
Br(D0D0 →fiX)Br(D0 →fi)
single D0reconstr.
both D0reconstr.
)1()1(
)(
)(),(
2
2
221
yBrBry
eDBr
eDBreDSDBr
eSS
S
−≈+Γ→Γ
=
=Γ
→Γ=→→
++
++
measured from ST rates
uncorrelatedproduction
uncorrelatedproduction
Cleo-c, PRD78, 012001 (2008), 281pb-1
(RWS=Γ(K+π-)/Γ(K-π+))
-
B. Golob, Ljubljana Univ. D0 Oscillations 32 SuperBelle, KEK, Dec 2008
3. Prospects and summaryA) Mixing parameters
Cleo-c results improved signif. with higher stat.;(all estimates based on )
x, y related measurements of similar or better accuracy at Super-B with modest lumin.;
δ already constrained with reasonable accuracy from combination of x’2, y’, x, y meas.;
σ(yCP) [%] B
σ(y) [%] Bσ(x) [%] B
σ(RM) [10-3] charmσ(x’2) [10-3] B
0.5 5.0
� [fb-1]
� [ab-1]
σ(y) [%] charm
0.5 5.0
� [fb-1]
� [ab-1]
� [fb-1]
σ(√RDcosδ) [10-2] charm
Prediction is very difficult, especially of the future.
N. Bohr (1885 - 1962)
Cleo-c, PRD78, 012001 (2008), 281pb-1
-
B. Golob, Ljubljana Univ. D0 Oscillations 33 SuperBelle, KEK, Dec 2008
3. Prospects and summaryA) Mixing parameters
asymmetric factory at ψ(3770):
for same as at Υ(4S) ⇒ γβ~2 (0.42 at Belle), E(e-/e+)=8 GeV/0.45 GeV (8 GeV/3.5 GeV at Belle);
resolution: σresD ~ σresB (βγB/βγD) ~0.3 ps ~τD0
N(S+K-π+, S+e-)~1300 @ 281 pb-1
σy~0.1% with 2 ab-1 (stat. only)
[ ]
NNtt
tyt
etytytd
fSDDd
resty
t
8~||||
8||;1||
sinhcosh)(
22222
2
||00
σσσ
+Δ−Δ≈=
≈Δ+≈Δ
Δ+Δ∝Δ
→Γ
Δ
Δ−+
-
B. Golob, Ljubljana Univ. D0 Oscillations 34 SuperBelle, KEK, Dec 2008
3. Prospects and summaryB) CPV parameters
various options at ψ(3770);decays to same sign CP eigenstates:(assuming no direct CPV)
suppressed by RM; not feasible;
� [ab-1]
σ(AΓ) [%] Bσ(|q/p|) Bσ(φ) [rad] B
160
60
00
0
2
2
102.1~104/;/
1)(2)(2
)(sin
sin)(2)()(
−++++++
++++
+++
+
+++
++++
+
++
⋅⋅⇒⋅==
-
B. Golob, Ljubljana Univ. D0 Oscillations 35 SuperBelle, KEK, Dec 2008
3. Prospects and summaryB) CPV parameters
various options at ψ(3770);untagged asymmetry:
ACP linear in CPV and mixing param.,feasible (stat. only); systematics from charge dependent ε asymm.?also possible at B-factories
022
200
0
0000
0000
sin4)(
/2)(
1sin2
)(sin
sinsin2cos2
sinsin2
)()()()()()()()(
��
��
yR
NN
yR
yRxAyRA
KDKDKDKDKDKDKDKDA
D
ACP
ACP
K
KACP
D
ACP
DM
DCP
CP
δσ
σσσ
δσϕσ
ϕδϕϕδ
ππππππππ
π
π =≈
0.2 0.5 0.9 sinδ
�[fb-1]
1400
1000
600
200300 fb-1
current δ
RD, y uncertainty
-
B. Golob, Ljubljana Univ. D0 Oscillations 36 SuperBelle, KEK, Dec 2008
3. Prospects and summaryB) CPV parameters
D0D0 in C=+1 state (D0D0 γ);tagged asymmetry:
MMCCP
MCCP
ARAbn
AxAyeSeSeSeSA
≈
=−≈Γ+ΓΓ−Γ
=
−=
Γ++
−+
++
−++=
1
1
:..
sincos2)()(
)()( ϕϕ
-
B. Golob, Ljubljana Univ. D0 Oscillations 37 SuperBelle, KEK, Dec 2008
3. Prospects and summaryB) CPV parameters
various options at ψ(3770);CPV in mixing:
ACP linear in CPV param.,feasible (stat. only); systematics from e- spectrum extrapolation (cancels in ACP)?σ(AM)~1% with 300 fb-1 sensitivity better than at Super-B;
)(4))(()(5.0)(
2)()()()(
0000
0000
±±
±±
−−++
−−++
≈≈
−≈→Γ+→Γ→Γ−→Γ
=
eeNeeNAA
AAeeDDeeDDeeDDeeDDA
CPM
MCP
CP
σσσ
σ(AΓ) [%] Bσ(|q/p|) Bσ(φ) [rad] B
� [ab-1]
-
B. Golob, Ljubljana Univ. D0 Oscillations 38 SuperBelle, KEK, Dec 2008
3. Prospects and summaryB) CPV parameters
various options at ψ(3770);direct CPV:
ACP linear in CPV param.,feasible (stat. only); systematics from e- spectrum extrapolation (cancels in ACP)? sensitivity better than at Super-B;
a complete overview of physics cases (for BES-III)can be found in
)())(()(2)(
2
)()()()(
0000
0000
±−+
±−+
++
−+
++
−+
≈≈
≈
→Γ+→Γ→Γ−→Γ
=
eKKNeKKNAA
AA
eSDDeSDDeSDDeSDDA
CPD
DCP
CP
σσσ
σ(AD) [%] charmσ(AD) [%] B
0.5 5.0
� [fb-1]
� [ab-1]
K.T. Chao, Y. Wang, editors, arXiv:0809.1869
-
B. Golob, Ljubljana Univ. D0 Oscillations 39 SuperBelle, KEK, Dec 2008
Systematics bckupψ(3770) →D0D0
[ ]22
0
2cos 006.0/
036.0⊕
⎥⎥⎦
⎤
⎢⎢⎣
⎡=
��δσ R[ ]
2
2
0
2 %2.1/%1.6
⊕⎥⎥⎦
⎤
⎢⎢⎣
⎡=
��yσ
�0=281 pb-1
assume sensitivity ony is mainly due to S±e-√RDcosδ is mainly due to S±K-π+RM is mainly due to K-π+K-π+
calculate fraction of non-scaling syst. on DT yields in total relative error:S±e- (y) σ(non-scaling)/σ(total)=15% extrap. of e- momentumS±K-π+ (√RDcosδ) σ(non-scaling)/σ(total)=15% FSR, sideband subtr.K-π+K-π+ (RM) σ(non-scaling)/σ(total)=2.4% FSR
[ ]232
0
32 1004.0
/107.1 −− ⋅⊕
⎥⎥⎦
⎤
⎢⎢⎣
⎡ ⋅=
��RMσ
Cleo-c, PRD78, 012001 (2008), 281pb-1
-
B. Golob, Ljubljana Univ. D0 Oscillations 40 SuperBelle, KEK, Dec 2008
δ bckupψ(3770) →D0D0
δ constraintsaveragedirect meas.(fit w/o external input)
0 1 2 3 4 5 δ [rad]
1.0
0.5
0
-0.5
-1.0
y’=y
cosδ
-xsi
nδ [%
]
y’ measured
δm
easu
red
0 1 2 3 4 5 δ [rad]
cosδ
1
0
-1
-
B. Golob, Ljubljana Univ. D0 Oscillations 41 SuperBelle, KEK, Dec 2008
Phenomenology bckup
∑ +−+=Γ
−−=Δ−=Δ
−=Δ
n nD
Cw
Cw
D
Cw
D iEMDHnnHD
MDHD
MiM
ε
0110020
12 21
21)
2(
055
02
222**
2
2020 |)1()1(|)(
4DcucuD
mmmVVVVGDHDc
dsusudcdcs
FCw γγγγπ μ
μ −−−
=−=Δshort distance:
DCS SU(3) breakingG. Burdman, I. Shipsey, Ann.Rev.Nucl.Sci. 53, 431 (2003) |x| ~ �(10-5)
long distance:
absorptive part (real interm. states) ⇒ ydispersive part (off-shell interm. states) ⇒ x D
0 D0K+
K-
I.I. Bigi, N. Uraltsev, Nucl. Phys. B592, 92 (2001);A.F. Falk et al., PRD69, 114021 (2004)
|x|, |y| ~ �(10-2)D0 mixing: rare process in SM;possible contrib. from NP
x and y in SM2nd order perturb.:
c
u
u
c
d, s, b d, s, bW+
W-D0 D0
Vci*
Vcj
Vuj*
Vui
-
B. Golob, Ljubljana Univ. D0 Oscillations 42 SuperBelle, KEK, Dec 2008
K+π-π0 bckup BaBar, arXiv:0807.4567, 384fb-1
D0 →K+ π-π0
ππππ
ππππδδδδ
KK
KKxyyyxx
sincos''sincos''
−=+=
BaBar, Lepton Photon 07, 384fb-1
no mixing point 0.8% C.L.
δKππ: unknown strong phase shiftDCS/CF
t
mix
f
interf.
ffff
DCS
f
etyxA
txyAA
AtDK
−
−+
++
+−+
+∝
]
||[
222
2
2200
4''''||
)sin''cos''(||||
)(
δδ
ππseparate WS/RS Dalitz distributions;
t-distrib. analogous to D0 →K+ π-;
RS t-integratedDalitz analysis;WS Dalitz analysis;
-
B. Golob, Ljubljana Univ. D0 Oscillations 43 SuperBelle, KEK, Dec 2008
K+K- / π+π- bckup Belle, PRL 98, 211803 (2007), 540fb-1
Fitsimultaneous binned likelihood fit to K+K- /K-π+/π+π- decay-t, common free yCP
)(')'(/' tBdttteNdtdN t +−= ∫ − Rττ
R : ideally each σi Gaussian resol. term with fraction fi;
: described by 3 Gaussians ⇒
∑ ∑= =
−=−N
i kikki tsttGwftt
1
3
10 ),,'()'( σR
τ = 408.7±0.6 fs
event-by-event σt
K-π+
trec-tgen/σt
parameters of R depend slightlyon data taking conditions
-
B. Golob, Ljubljana Univ. D0 Oscillations 44 SuperBelle, KEK, Dec 2008
K+K- / π+π- bckup
equal t0 assumption
ΔyCP=t0CP - t0Kπ / τKπ
from MC cocktail, includingrunning periodswith slight misalign.of SVD
Belle, PRL 98, 211803 (2007), 540fb-1
-
B. Golob, Ljubljana Univ. D0 Oscillations 45 SuperBelle, KEK, Dec 2008
ψ(3770) →D0D0 bckup
( )[ ]
22112
00
2100
00,,
200
)(2
1,
;,,)(;)(
DjDiDjDiijDD
DDDD
DjiDjiAAAAAAijDD
jiji
jiji
−=→Γ
⇒±=
≡
−=→ΓD0, D0 in
anti-symmetric state
-
B. Golob, Ljubljana Univ. D0 Oscillations 46 SuperBelle, KEK, Dec 2008
Triple product correl. bckupD →K*(p1,ε1)K*(p2,ε2)
T(pi,εi) = -pi,εi;
but AT ~ sin(φ+δ)φ: weak phaseδ: strong phase;⇒
)0)(()0)(()0)(()0)((
211211
211211
×⋅×⋅
=εεεεεεεε
pNpNpNpNAT
:2
T
TTCPT
A
AAA +=
asymmetry of conjugated process
ATCP ~ sinφcosδn.b.: ACPdir ~ sinφsinδ
-
B. Golob, Ljubljana Univ. D0 Oscillations 47 SuperBelle, KEK, Dec 2008
T-odd moments bckupD →KKππ
α: angle between KK and ππ planes;
::
sincossincos
sincossincos
sincossincos
33
2,12,1
,
32
22
1
32
22
1
Γ≠ΓΓ≠Γ
−⎯⎯ →⎯
Γ+Γ+Γ=Γ
Γ+Γ+Γ=Γ
αααα
ααααα
ααααα
TCPdddd
direct CPV;CPV;
D0 Mixing�@ SuperBelle1. D0 →KK/pp1. D0 →KK/ppD0 →KK/ppD0 →KK/pp2. D0 →KpD0 →KpD0 →Kp3. D0 →KSppD0 →KSppD0 →KSppD0 →KSpp4. AverageAverage5. Constraints on NPConstraints on NPConstraints on NPNotesSuper t charm factoryPhenomenology bckupMass insertions bckupD0 →KK/pp bckupD0 →KK/pp bckupD0 →KK/pp bckupD0 →KSpp bckupD0 →KSpp bckupD0 →KSpp bckupSystematics bckup1. Phenomenology1. Phenomenology2. Measurements3. Prospects and summary3. Prospects and summary3. Prospects and summary3. Prospects and summary3. Prospects and summary3. Prospects and summary3. Prospects and summarySystematics bckupd bckupPhenomenology bckupK+p-p0 bckupK+K- / p+p- bckupK+K- / p+p- bckupy(3770) →D0D0 bckupTriple product correl. bckupT-odd moments bckup
%d0%a4%d0%93%d0%9e%d0%a1%203 %20%d0%9b%d0%b5%d1%87%d0%b5%d0%b1%d0%bd%d0%be%d0%b5%20%d0%b4%d0%b5%d0%b
%d0%9f%d0%be%d0%bb%d0%be%d0%b6%d0%b5%d0%bd%d0%b8%d0%b5 %d0%9f%d0%be%d1%81%d0%bb%d1%8b%20%d0%9f%d0%be
%d0%9d%d0%b0%d0%b2%d1%87%d0%b0%d0%bb%d1%8c%d0%bd%d0%be %d0%bc%d0%b5%d1%82%d0%be%d0%b4%d0%b8%d1%87%d0
1060204 %d0%bb%d0%b8%d1%81%d1%82%d0%be%d0%b2%d0%ba%d0%b0 %d0%bf%d0%be %d1%82%d0%b5%d0%bf%d0%bb%d0%be