d 0 mixing
DESCRIPTION
D 0 Mixing. B. Golob University of Ljubljana , Jožef Stefan Institute & Belle Collaboration. “Jožef Stefan” Institute. University of Ljubljana. Outline Phenomenology Measurement s A) Experiments B) CP states C) Wrong sign (non-CP) D) t-dependent Dalitz E) y (3770) - PowerPoint PPT PresentationTRANSCRIPT
B. Golob, Ljubljana Univ. D0 Oscillations 1 Super--c factory, BINP, Sep 2008
B. GolobUniversity of Ljubljana,Jožef Stefan Institute
&Belle Collaboration
D0 Mixing
University of Ljubljana
“Jožef Stefan” Institute
Outline1. Phenomenology2. Measurements A) Experiments B) CP states C) Wrong sign (non-CP) D) t-dependent Dalitz E) (3770) F) Average of results
3. Prospects & Summary A) Mixing param. B) CPV param. C) Summary
B. Golob, Ljubljana Univ. D0 Oscillations 2 Super--c factory, BINP, Sep 2008
1. Phenomenology
Time evolution flavor states ≠ Heff eigenstates: (defined flavour) (defined m1,2 and 1,2)
002,1 DqDpD
)0()( 2,12,12,1 tDetD ti
;2
; 2121
ymm
x |x|,|y| << 1
P0q1
q2 q1
P0q2
P0 = K0, Bd0, Bs
0 and D0
coherent production, V→D0D0
2
000
2
)(Df
yix
p
qDfe
dt
fDdN t
Decay time distribution of experimentally accessible states D0, D0
sensitive to mixing parameters x and y, depending on final state
21212121
222
222
2100
;
221)(
ffffffff AAp
qAA
q
paAAAAa
xya
xyaffDDV
B. Golob, Ljubljana Univ. D0 Oscillations 3 Super--c factory, BINP, Sep 2008
1. Phenomenology
x and y
D0 D0
K+
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(|||,| 2Oyx)10(|~| 5Oxdifficult to estimate
B. Golob, Ljubljana Univ. D0 Oscillations 4 Super--c factory, BINP, Sep 2008
D0: first two quark generations;CKM elements ≈ real;
using CKM unitarity:
bellow current exp. sensitivity; signals New Physics
1. Phenomenology
CP violationVcs
Vus*
D0
K-
K+
)(VV
VV
Df
Df-
uscs
ubcb 3*
*
0
0
10~arg O
)(
0
0
0
0
0
0
2/1
)2/1(
),2
1(,2
1
,
fi
D
DM
MD
D
eA
RA
Df
Df
p
q
A
p
qA
Df
Df
RDf
Df
parameterization: RD ≠1: Cabbibo suppression
AD ≠0: CPV in decay AM ≠0: CPV in mixing ≠0 : CPV in interference
B. Golob, Ljubljana Univ. D0 Oscillations 5 Super--c factory, BINP, Sep 2008
e+e- → (3770) → D0D0, D+D- (coherent C=-1 state); ~800 pb-1 of data available at (3770) 2.8x106 D0D0
very diverse exp. conditions
continuum production
2. Measurements
A) Experiments
* c
c(c c) 1.3 nb (~109 XcYc pairs)
General B-factories D*+ →D0s
+
charge of s flavor of D0; M=M(D0s)-M(D0) background reduction
p*(D*) > 2.5 GeV/c eliminates D0 from b → c
B. Golob, Ljubljana Univ. D0 Oscillations 6 Super--c factory, BINP, Sep 2008
2. Measurements B) Decays to CP eigenstates
K+K-/+-
and K-+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- / +-, CP even
no CPV: CP|D1> = |D1> =1/1;K-+: mixture of CP states =f(1/1,1/2)
yxA
y
KK
Ky
CPVno
M
CP
sin2
cos
1)(
)(S. Bergman et al., PLB486, 418 (2000)
B. Golob, Ljubljana Univ. D0 Oscillations 7 Super--c factory, BINP, Sep 2008
)%08.036.026.0( A
2. Measurements B) Decays to CP eigenstates
CPV
t-depedent / t-independent method
0sincos2
)()(
)()(
)()(
)()(
00
00
00
00
CPVno
M
intmixfdec
fCP
xyA
KKDKKD
KKDKKDA
aaafDfD
fDfDA
)%15.030.001.0( A
BaBar, arXiv:0712.2249, 384fb-1
t-dependent
t-independent
similar sensitivity
Belle, PRL 98, 211803 (2007), 540fb-1
BaBar, PRL 100, 061803 (2007), 386fb-1 Belle, arXiv:0807.0148, 540fb-1
B. Golob, Ljubljana Univ. D0 Oscillations 8 Super--c factory, BINP, Sep 2008
2. Measurements C) WS decays (non-CP)
D*+ → D0 slow+ D0 → D0 → K+ -
DCS decays interference;
t
mixinterf
D
DCS
D etyx
tyRR
tDK
2
22
.
20
4
'''
)(
sincos'
sincos'
xyy
yxx
t-dependence to separate DCS/mixed
BaBar, PRL 98, 211802 (2007), 384fb-1
1st evidence for D0 mixing
1
3
5
likelihoodcontours
3.9
Belle, PRL 96, 151801 (2006), 400fb-1
: unknown strong phase DCS/CF
3.8 1
3
CDF, PRL 100, 121802 (2008), 1.5fb-1
)%31.044.097.0('10)21.030.022.0(' 32
yx
)%06.0('
10)18.0('
39.040.0
23.021.0 32
y
x
)%76.085.0('10)35.012.0(' 32
yx
likelihoodcontours
95% FC confidence region
B. Golob, Ljubljana Univ. D0 Oscillations 9 Super--c factory, BINP, Sep 2008
2. MeasurementsD) t-dependent Dalitz analyses different types of interm. states; CF: D0 → K*-+
DCS: D0 → K*+-
CP: D0 → 0 KS
if f = f populate same Dalitz plot; relative phases determined (unlike D0 → K+-);
t-dependence: regions of Dalitz plane → specific t dependence f(x, y);
titi
titi
S
eemmp
q
eemm
tDKtmm
21
21
),(2
1
),(2
1
)(),,(
22
22
022
A
A
M
1,2=f(x,y);
D0 →KS +-
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(
Belle, PRL 99, 131803 (2007), 540fb-1
D0 →KS +-
most accurate x
B. Golob, Ljubljana Univ. D0 Oscillations 10 Super--c factory, BINP, Sep 2008
2. MeasurementsE)(3770) →D0D0
at threshold D0D0 in C=-1 state effective Br’s depending on mixing param.: y, RM=(x2+y2)/2, RDcos
S±: CP eigenstates
e-: Xefit 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 D0 reconstr.
both D0 reconstr.
)1()1(
)(
)(),(
2
2
221
yBrBry
eDBr
eDBreDSDBr
eSS
S
measured from ST rates
uncorrelatedproduction
uncorrelatedproduction
Cleo-c, PRD78, 012001 (2008), 281pb-1
(RWS=(K+-)/(K-+))
B. Golob, Ljubljana Univ. D0 Oscillations 11 Super--c factory, BINP, Sep 2008
)%12.012.020.0(
)%2.16.14.2(
)%7.10.62.5(
MR
R
y
D
2. MeasurementsE)(3770) →D0D0
fit to set of single and double Br’s
Cleo-c, PRD78, 012001 (2008), 281pb-1
009.0036.0089.0cos
DR
DT yields
M [GeV]1.83 1.89 1.83 1.89 1.83
ST yields
B. Golob, Ljubljana Univ. D0 Oscillations 12 Super--c factory, BINP, Sep 2008
2. MeasurementsF) Average of results K+K-
K+-
KS-+ RM
2 fit including correlationsamong measured quantities
2/n.d.f.=25.3/20
http://www.slac.stanford.edu/xorg/hfag/charm/andHFAG, arXiv:0808.2268
(x,y)≠(0,0): 9.8;CP even state heavier and shorter lived;no CPV within 1
CP
V
uncertainty
B. Golob, Ljubljana Univ. D0 Oscillations 13 Super--c factory, BINP, Sep 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.;
already constrained with reasonable accuracy from combination of x’2, y’, x, y meas.;
(yCP) [%] B
(y) [%] B
(x) [%] B
(RM) [10-3] charm(x’2) [10-3] B
0.5 5.0
L [fb-1]
L [ab-1]
(y) [%] charm
0.5 5.0
L [fb-1]
L [ab-1]
L [fb-1]
(√RDcos) [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 14 Super--c factory, BINP, Sep 2008
3. Prospects and summaryA) Mixing parameters
asymmetric factory at (3770):
for same <z> as at (4S) ~2 (0.42 at Belle), E(e-/e+)=8 GeV/0.45 GeV (8 GeV/3.5 GeV at Belle);
resolution:resD ~ res
B (B/D) ~0.3 ps ~D0
N(S+K-+, S+e-)~1300 @ 281 pb-1
y~0.1% with 2 ab-1 (stat. only)
NN
tt
tyt
etytytd
fSDDd
res
ty
t
8~
||||
8||;1||
sinhcosh)(
222
22
2
||00
B. Golob, Ljubljana Univ. D0 Oscillations 15 Super--c factory, BINP, Sep 2008
3. Prospects and summaryB) CPV parameters
various options at (3770); decays to same sign CP eigenstates: (assuming no direct CPV)
suppressed by RM; not feasible;
L [ab-1]
(A) [%] B(|q/p|) B() [rad] B
160
60
00
0
2
2
102.1~104
/;/
1)(2)(2
)(sin
sin)(2)(
)(
fb
NN
SBrRNSBrR
N
NSBrR
XS
SSr
NN
M
N
M
r
M
LLLLLL
>>
B. Golob, Ljubljana Univ. D0 Oscillations 16 Super--c factory, BINP, Sep 2008
3. Prospects and summaryB) CPV parameters
various options at (3770); untagged asymmetry:
ACP linear in CPV and mixing param., feasible (stat. only); systematics from charge dependent asymm.? also possible at B-factories
022
200
0
0000
0000
sin4
)(
/2
)(
1sin2
)(sin
sinsin2cos2
sinsin2
)()()()(
)()()()(
LL
LL
yR
N
N
yR
yRxA
yRA
KDKDKDKD
KDKDKDKDA
D
ACP
ACP
K
KACP
D
ACP
DM
DCP
CP
>>
0.2 0.5 0.9 sin
L[fb-1]
1400
1000
600
200
300 fb-1
current
RD, y uncertainty
B. Golob, Ljubljana Univ. D0 Oscillations 17 Super--c factory, BINP, Sep 2008
3. Prospects and summaryB) CPV parameters
D0D0 in C=+1 state (D0D0 );tagged asymmetry:
MMCCP
MCCP
ARAbn
AxA
yeSeS
eSeSA
1
1
:..
sincos2)()(
)()(
B. Golob, Ljubljana Univ. D0 Oscillations 18 Super--c factory, BINP, Sep 2008
3. Prospects and summaryB) CPV parameters
various options at (3770); CPV in mixing:
ACP linear in CPV param., feasible (stat. only); systematics from e- spectrum extrapolation (cancels in ACP)? (AM)~1% with 300 fb-1
sensitivity better than at Super-B;
)(4
))(()(5.0)(
2)()(
)()(0000
0000
eeN
eeNAA
AAeeDDeeDD
eeDDeeDDA
CPM
MCP
CP
(A) [%] B(|q/p|) B() [rad] B
L [ab-1]
B. Golob, Ljubljana Univ. D0 Oscillations 19 Super--c factory, BINP, Sep 2008
3. Prospects and summaryB) CPV parameters
various options at (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
eKKN
eKKNAA
AA
eSDDeSDD
eSDDeSDDA
CPD
DCP
CP
(AD) [%] charm(AD) [%] B
0.5 5.0
L [fb-1]
L [ab-1]
K.T. Chao, Y. Wang, editors, arXiv:0809.1869
B. Golob, Ljubljana Univ. D0 Oscillations 20 Super--c factory, BINP, Sep 2008
3. Prospects and summaryC) Summary
today: D mixing unambigiously established; x, y ~ O(1%); no CPV asymmetry @ ~0.3%;
“tomorrow”: Super-B factory at initial stage (x), (y) ~ O( 0.1%) (ACP) ~ O(0.1%); K 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 (only few examples shown); 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 21 Super--c factory, BINP, Sep 2008
Systematics bckup
scales with MCbetter detect. (MC) desc.
scales with data/MCscales with data/MCscales with data/MC
total non-scaling 0.10% 0.06%
Decays to CP eigenstates
22
0
2 %10.0/
%39.0
LLyCP 2
2
0
2 %06.0/
%33.0
LLA L0=540 fb-1
Belle, PRL 98, 211803 (2007), 540fb-1
B. Golob, Ljubljana Univ. D0 Oscillations 22 Super--c factory, BINP, Sep 2008
Systematics bckup Decays to CP eigenstates
22
0
2 %10.0/
%39.0
LLyCP
22
0
2 %06.0/
%33.0
LLA
L0=540 fb-1
(yCP)[%]
(A)[%]
L [ab-1]
B. Golob, Ljubljana Univ. D0 Oscillations 23 Super--c factory, BINP, Sep 2008
model dependence [10-4]: x y -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% -5.1 -4.1 (q2) const. --------------------------------- +10 +6 Total model dep. -14 -8
experimental: x y +7.6 -7.8 p* variation -5.6 -5.7 Dalitz pdf for bkg. from different t bins ----------------------- +9 +8 Total experimental -7 -12
Systematics bckup
better underst. of DCS/CF;arbitrary ½ of uncertainty takenas non-scaling
±8 ± 4.3 model non-scaling
t-dependent Dalitz analyses
scales with data/MC
±6 ±6 exp. non-scaling
±10 ±7 total non-scaling
22
0
2 %10.0/
%31.0
LLx
22
0
2 %07.0/
%26.0
LLy
L0=540 fb-1
Belle, PRL 99, 131803 (2007), 540fb-1
B. Golob, Ljubljana Univ. D0 Oscillations 24 Super--c factory, BINP, Sep 2008
model dependence: |q/p| [rad] ±0.08 ±0.06
experimental: |q/p| [rad] +0.06 +0.06 p* variation +0.03 -0.05 bkg. decay t parameters
Systematics bckup
±0.08 ±0.06 model non-scaling
t-dependent Dalitz analyses
scales with data/MC
±0.08 ±0.06 total non-scaling
22
0
2|/| 08.0
/
30.0
LLpq 2
2
0
2 06.0/
30.0rad
rad
LL
L0=540 fb-1
scales with data/MC
B. Golob, Ljubljana Univ. D0 Oscillations 25 Super--c factory, BINP, Sep 2008
Systematics bckup t-dependent Dalitz analyses
22
0
2|/| 08.0
/
30.0
LLpq
22
0
2 06.0/
30.0rad
rad
LL
L0=540 fb-1
(x) [%](y) [%](|q/p|)() [rad]
L [ab-1]
22
0
2 %10.0/
%31.0
LLx
22
0
2 %07.0/
%26.0
LLy
B. Golob, Ljubljana Univ. D0 Oscillations 26 Super--c factory, BINP, Sep 2008
x’2 [stat] y’ [stat] ±0.44 ±0.44 p* variation ±0.26 ±0.26 fixed decay-t parameters ±0.26 ±0.26 t effect on fractions
Systematics bckup WS decays (non-CP)
scales with data/MC
±0.48 ±0.48 total non-scaling
23
2
0
322' 1011.0
/
1025.0
LLx 2
2
0
2' %19.0
/
%46.0
LLy
L0=400 fb-1
scales with data
statisyst m 2/12
syst(1-dim) = 0.75 stat
scales with data
22
0
2 %8.1/
%3.4
LLAD assumed same fraction of scaling/non-scaling
systematics as for x’2
Belle, PRL 96, 151801 (2006), 400fb-1
B. Golob, Ljubljana Univ. D0 Oscillations 27 Super--c factory, BINP, Sep 2008
Systematics bckup WS decays (non-CP)
23
2
0
322' 1011.0
/
1025.0
LLx
22
0
2' %19.0
/
%46.0
LLy
L0=400 fb-1
22
0
2 %8.1/
%3.4
LLAD
(x’2) [10-3]
(y’) [%]
L [ab-1]
B. Golob, Ljubljana Univ. D0 Oscillations 28 Super--c factory, BINP, Sep 2008
Systematics bckup (3770) →D0D0
22
0
2
cos006.0
/
036.0
LLR
22
0
2 %2.1/
%1.6
LLy
L0=281 pb-1
assume sensitivity ony is mainly due to S±e-
RDcos is mainly due to S±K-+
RM is mainly due to K-+K-+
calculate fraction of non-scaling syst. on DT yields in total relative error:S±e- (y) (non-scaling)/(total)=15% extrap. of e- momentumS±K-+ (RDcos) (non-scaling)/(total)=15% FSR, sideband subtr.K-+K-+ (RM) (non-scaling)/(total)=2.4% FSR
23
2
0
32 1004.0
/
107.1
LLRM
Cleo-c, PRD78, 012001 (2008), 281pb-1
B. Golob, Ljubljana Univ. D0 Oscillations 29 Super--c factory, BINP, Sep 2008
bckup (3770) →D0D0
constraints average direct meas. (fit w/o external input)
0 1 2 3 4 5 [rad]
y’=
yco
s-x
sin
[%]
1.0
0.5
0
-0.5
-1.0
y’ measured
m
easu
red
0 1 2 3 4 5 [rad]
cos
1
0
-1
B. Golob, Ljubljana Univ. D0 Oscillations 30 Super--c factory, BINP, Sep 2008
Introduction bckup History observation of K0: 1950 (Caltech) mixing in K0: 1956 (Columbia)
observation of Bd0:
1983 (CESR) mixing in Bd
0: 1987 (Desy)
observation of Bs0:
1992 (LEP) mixing in Bs
0: 2006 (Fermilab)
observation of D0: 1976 (SLAC) mixing in D0: 2007 (KEK, SLAC) (evidence of)
6years
4years
14years
31years
P0q1
q2 q1
P0
Mixing phenomena in course of life neutral meson P0 can transform into anti-meson P0
P0 = K0, Bd
0, Bs0 and D0
q2
c quark
t quarkmass
????
????
B. Golob, Ljubljana Univ. D0 Oscillations 31 Super--c factory, BINP, Sep 2008
Introduction bckup
3(4) layerSi det.
Central Drift Chamber
AerogelCherenkov(n=1.015- 1.030)
1.5T SC solenoid
e-
8 GeV
e+
3.5 GeV
EM calorimeterCsI (16X0)
and KL
Counter(14/15 layersRPC+Fe)
tracking (pt)/pt= 0.2% √(pt2+2.5)
PID (K±) ~ 85% (±→K±) 10% for p < 3.5 GeV/c
B. Golob, Ljubljana Univ. D0 Oscillations 32 Super--c factory, BINP, Sep 2008
Introduction bckup
=0.56Integrated luminosity: Ldt 500 fb-1
BaBar detector at SLAC
tracking (pt)/pt= 0.45%+0.13%pt
PID 3.4 K/ separation
for p < 3.5 GeV/c
B. Golob, Ljubljana Univ. D0 Oscillations 33 Super--c factory, BINP, Sep 2008
Introduction bckupHad. ID
e- ID
tracking
Cleo-c, hep-ex/0606016 s [GeV]
Cleo-c detector at CESR e+e- → (3770) → D0D0, D+D- (coherent C=-1 state); analogous to B-factory with e+e- → BB @ (4S); symmetric; also higher energy, above DD* or DsDs threshold; ~572 pb-1 of data available at (3770) 2.0x106 D0D0, 1.6x106 D+D-
charm-factory; also upgraded BES at BEPCII
B. Golob, Ljubljana Univ. D0 Oscillations 34 Super--c factory, BINP, Sep 2008
Intrrduction bckup
3.5 fb-1 on tape(D0; pt>5.5 GeV,|y|<1)≈13 b50x109 D0’s
d(D0)/dpt [nb/GeV]
CDF
B. Golob, Ljubljana Univ. D0 Oscillations 35 Super--c factory, BINP, Sep 2008
Phenomenology bckup
Time evolution eigenvalues:
q
p
q
p
iMiM
iMiM
2,1*12*
12
1212
22
22
2
2*
*,
222 1212
1212
2
2,12,1
12122,1
iM
iM
p
qimiM
p
qiM
diagonal elem.: P0 P0 (including decays)non-diagonal elem.: P0 P0
P1,2 evolve in time according to m1,2 and 1,2:
)0()( 2,12,12,1 tPetP ti
B. Golob, Ljubljana Univ. D0 Oscillations 36 Super--c factory, BINP, Sep 2008
Phenomenology bckup
n nD
Cw
Cw
D
Cw
D iEM
DHnnHD
MDHD
MiM
0110
02012 2
1
2
1)
2(
055
02
222**
2
2020 |)1()1(|
)(
4DcucuD
m
mmVVVV
GDHD
c
dsusudcdcs
FCw
short distance:
DCS SU(3) breakingG. Burdman, I. Shipsey, Ann.Rev.Nucl.Sci. 53, 431 (2003) |x| ~ O(10-5)
long distance:
absorptive part (real interm. states) ydispersive part (off-shell interm. states) x
D0 D0
K+
K-
I.I. Bigi, N. Uraltsev, Nucl. Phys. B592, 92 (2001);A.F. Falk et al., PRD69, 114021 (2004)
|x|, |y| ~ O(10-2)
D0 mixing: rare process in SM;possible contrib. from NP
x and y in SM 2nd order perturb.:
c
u
u
c
d, s, b d, s, b
W+
W-
D0 D0
Vci*
Vcj
Vuj*
Vui
B. Golob, Ljubljana Univ. D0 Oscillations 37 Super--c factory, BINP, Sep 2008
Phenomenology bckup
Oscillations measurable rates:
00 ; PfAPfA ff tyix
tyix
tyix
22sinh;1
2cosh
2222
2
**2
20
222
22
**2
20
2222
2
**2
20
222
22
**2
20
4
)(
4
)(
4
)(
4
)(
tyx
Aq
pytAA
q
pxtAA
q
pA
e
tPf
tyx
Aq
pytAA
q
pxtAA
q
pA
e
tPf
tyx
Ap
qytAA
p
qxtAA
p
qA
e
tPf
tyx
Ap
qytAA
p
qxtAA
p
qA
e
tPf
fffffft
fffffft
fffffft
fffffft
B. Golob, Ljubljana Univ. D0 Oscillations 38 Super--c factory, BINP, Sep 2008
Phenomenology bckup
Oscillations
visually unobservabledeviation from pure exponential
~ Bs0
more difficult to observeoscillations within
probab. to observe an initially produced X0 as X0 after time tprobab. to observe an initially produced X0 as X0 after time t
B. Golob, Ljubljana Univ. D0 Oscillations 39 Super--c factory, BINP, Sep 2008
K+- bckup
RD = (3.64 ± 0.17 ) ·10-3
x’2 = (0.18 ± 0.210.23) · 10-3
y’ = (0.6 ± 4.03.9) · 10-3
AD = (23 ± 47) ·10-3
AM = (670 ± 1200) ·10-3
Results:
no CPV
CPV
CPV allowed:separate D0 and D0 tags(x’2,y’,RD) → (x’±2, y’±,RD
±)
MM
MMM
DD
DDD RR
RRA
RR
RRA
95% C.L. (x’2, y’) contourfrequentist, FC ordering
(0,0) lies on 96.1% C.L. contour
x’2 < 0.72 ·10-3
-0.99% < y’ < 0.68%no signif. CPV
largest syst. due to p*(D*) selection
PRL96, 151801 (2006), 400 fb-1
B. Golob, Ljubljana Univ. D0 Oscillations 40 Super--c factory, BINP, Sep 2008
KS+- bckupBelle, PRL 99, 131803 (2007), 540fb-1
Dalitz projection of fit
K*(892)+
K*X(1400)+
K*(892)-
test of S-wave contr. (f0, 1,2): K-matrix formalism
Results (fit fractions, phases) in agreement with (measurement of 3)
PRD73, 112009 (2006)
B. Golob, Ljubljana Univ. D0 Oscillations 41 Super--c factory, BINP, Sep 2008
KS+- bckup
D0 → KS+-
Largestsystematics
model dependence [10-4]: x y -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% -5.1 -4.1 (q2) const. --------------------------------- +10 +6 Total model dep. -14 -8
experimental: x y +7.6 -7.8 p* variation -5.6 -5.7 Dalitz pdf for bkg. from different t bins ----------------------- +9 +8 Total experimental -7 -12
observed discrepancy from
input in MC
statisticaluncertainty:
(x)=29x10-4
(y)=24x10-4
Belle, PRL 99, 131803 (2007), 540fb-1
B. Golob, Ljubljana Univ. D0 Oscillations 42 Super--c factory, BINP, Sep 2008
KS+- bckupBelle, PRL 99, 131803 (2007), 540fb-1
D0 → KS+-
efficiency and resol. in M(
rnd s bkg.:
Prnd [(1-fw) M(m-2,m+
2,t) +fw M(m+2,m-
2,t)] R(t)
fw from fit to Q side band: fw= 0.452 ± 0.005diff. w.r.t. fw=0.5 in systematic error
comb. bkg.:
Pcmb B(m-2,m+
2) * ([ (t) + Exp(t) ]R’(t)
parameters from fit to Dalitz and t distrib. of M(KS +- ) sideband(systematics: Dalitz distrib. in different t intervals)
B. Golob, Ljubljana Univ. D0 Oscillations 43 Super--c factory, BINP, Sep 2008
K+-0 bckup
2222
**2
20
4
)(t
yxAytAAxtAAA
e
tPffffffft
K
mmmmiiff
mmii
r
ir
i
mmii
r
ir
i
xteemmmmaaxtAA
emmeaemmaeamm
emmeaemmaeamm
r
r
11
)),(),(()(22
21
22
2111
*
),(22
211
1
22
211
22
21
),(22
211
1
22
211
22
21
22
21
22
2111
22
2111
22
2111
|),(|),(
|),(),(1),(
|),(),(1),(
ff
ff
ff
M|M|
M|A
M|A
BaBar, arXiv:0807.4567, 384fb-1
B. Golob, Ljubljana Univ. D0 Oscillations 44 Super--c factory, BINP, Sep 2008
K+-0 bckup BaBar, arXiv:0807.4567, 384fb-1
D0 →K+ -0
KK
KKxyyyxxsincos''sincos''
BaBar, Lepton Photon 07, 384fb-1
no mixing point 0.8% C.L.
K: unknown strong phase shift DCS/CF
t
mix
f
interf.
ffff
DCS
f
etyx
A
txyAA
AtDK
]
||[
222
2
2200
4
''''||
)sin''cos''(||||
)(
separate WS/RS Dalitz distributions; t-distrib. analogous to D0 →K+ -;
RS t-integratedDalitz analysis;WS Dalitz analysis;
B. Golob, Ljubljana Univ. D0 Oscillations 45 Super--c factory, BINP, Sep 2008
K+K- / +- bckup Belle, PRL 98, 211803 (2007), 540fb-1
Fitsimultaneous binned likelihood fit to K+K- /K-+/+- decay-t, common free yCP
)(')'(/' tBdttteN
dt
dN t R
R : ideally each i Gaussian resol. term with fraction fi; : described by 3 Gaussians
N
i kikki tsttGwftt
1
3
10 ),,'()'( R
= 408.7±0.6 fs
event-by-event t
K-+
parameters of R depend slightlyon data taking conditions
trec-tgen/t
B. Golob, Ljubljana Univ. D0 Oscillations 46 Super--c factory, BINP, Sep 2008
K+K- / +- bckup
equal t0 assumption
yCP=t0CP - t0
K / K
from MC cocktail, includingrunning periodswith slight misalign.of SVD
Belle, PRL 98, 211803 (2007), 540fb-1
B. Golob, Ljubljana Univ. D0 Oscillations 47 Super--c factory, BINP, Sep 2008
)%08.036.026.0( A
K+K- / +- CPV bckup Decays to CP eigenstates
CPV
0sincos2
)()(
)()(
)()(
)()(
00
00
00
00
CPVno
M
intmixfdec
fCP
xyA
KKDKKD
KKDKKDA
aaafDfD
fDfDA
with adec<<1:
)%15.030.001.0( A
Belle, arXiv:0807.0148, 540fb-1
BaBar, arXiv:0712.2249, 384fb-1
t-integrated ACP
meas =A + AFB + ACP
f
A : comparison of tagged/untagged
(D*+ →D0+),D0 →K-+ AFB: asymmetric f(cosCMS)
t-dependent
)%13.034.000.0( KKCPA
)%11.030.043.0( KKCPA
Belle, PRL 98, 211803 (2007), 540fb-1
ACPKK ACP
AFBKK AFB
|cosCMS| |cosCMS|
|cosCMS||cosCMS|
BaBar, PRL 100, 061803 (2007),
386fb-1
B. Golob, Ljubljana Univ. D0 Oscillations 48 Super--c factory, BINP, Sep 2008
(3770) →D0D0 bckup
2
211200
2100
00,,
200
)(
2
1,
;,,)(
;)(
DjDiDjDiijDD
DDDD
DjiDjiAA
AAAAijDD
jiji
jiji
D0, D0 in anti-symmetric state
B. Golob, Ljubljana Univ. D0 Oscillations 49 Super--c factory, BINP, Sep 2008
Average bckup
Average of resultsinputs
http://www.slac.stanford.edu/xorg/hfag/charm/andHFAG, arXiv:0808.2268
B. Golob, Ljubljana Univ. D0 Oscillations 50 Super--c factory, BINP, Sep 2008
Average bckup
2 of fit
http://www.slac.stanford.edu/xorg/hfag/charm/ andHFAG, arXiv:0808.2268
B. Golob, Ljubljana Univ. D0 Oscillations 51 Super--c factory, BINP, Sep 2008
NP bckupConstraints on NP
E. Golowich et al., PRD76, 095009 (2007)
x
x=2%
’12k’11k
GeVdmkR
300)~
(
TeVdmkR
1)~
(
D0 D0iL
l~
iLl~
kRd
kRd
D0 D0iL
l kRd~
iLl
kRd~
uncertain SM predictions for x, y;measured values constraints on NP models; e.g. R-parity violating SUSY;
existing constraints greatly improved for many NP models;
R-parity violatingcoupling const.
B. Golob, Ljubljana Univ. D0 Oscillations 52 Super--c factory, BINP, Sep 2008
Triple product correl. bckupD →K*(p1,1)K*(p2,2)
T(pi,i) = -pi,i;
but AT ~ sin(): weak phase: strong phase;
)0)(()0)((
)0)(()0)((
211211
211211
pNpN
pNpNAT
:2
T
TTCPT
A
AAA
asymmetry of conjugated process
ATCP ~ sincos
n.b.: ACPdir ~ sinsin
B. Golob, Ljubljana Univ. D0 Oscillations 53 Super--c factory, BINP, Sep 2008
T-odd moments bckupD →KK
: angle between KK and planes;
:
:sincossincos
sincossincos
sincossincos
33
2,12,1
,
32
22
1
32
22
1
TCPd
dd
d
direct CPV;
CPV;