recent results on d 0 m ixing from belle

B. Golob, Belle D0 Mixing 1 Lepton Photon ‘07, Daegu

B. GolobUniversity of Ljubljana

Belle Collaboration

Outline1. Introduction2. Phenomenology3. Measurements K+K-/+-

KS++

CPV4. Prospects & Summary

Recent results on D0 mixing from Belle Lepton Photon Interactions 2007

Introduction

Dual role of charm - experimental tests of theor. predictions (most notably of (L)QCD); improve precision of CKM measurements (B physics);

- standalone field of SM tests and search for new phenomena (SM and/or NP) → D0-D0 Mixing

E. Golowich et al., arXiv:0705.3650

21 different NP models:17 of those → constraints in parameter space from established D0 mixing rate <~10-4

example:4th fermion family(severly constrained fromother measurements as well)

mix

ing

am

pl.

|Vub’Vcb’|

mb’=500 GeV

mb’=200 GeV


(c c) 1.3 nb (Belle luminos.:~850·106 XcYc pairs)

(4S):

Introduction

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)

Ldt

20072000

700 fb-1

t/(D0)

t/(D0)=1/3

(K±) ~ 85%(±→K±) 10%for p < 3.5 GeV/c

<t>/(D0)~ 1/2

D0→ K-+


D*+ →D0+slow, D0 →K-+

M=M(Kslow)-M(K)

D0 - D0 Phenomenology Mixing phenomena X0 = K0, Bd

0, Bs0 and D0

t-dependent Schrödinger eq.:

mass eigenstates: decay time evolution:

002,1 XqXpX

X0q1

q2

q2

q1

X0

)(

)(

2)(

)(0

0

0

0

tX

tXi

tX

tX

ti ΓM

CP eigenstates if q/p=1;

propagate in t according to distinct eigenvalues;

tm

iet

yixX

p

qt

yixXtX

)2

1(000

2sinh

2cosh)(

2;

2; 212121

ymm

x

Decay time distribution of experimentally accessible states X0, X0 sensitive to mixing parameters


I.I. Bigi, N. Uraltsev, Nucl. Phys. B592, 92 (2001); A.F. Falk et al., PRD69, 114021 (2004)

|x|, |y| < O(10-2)~

Belle measurements

- semileptonic decays,

D0 → K(*) l n

- hadronic decays to non-CP final state D0 → K+-

- hadronic decays to multi-body final state, D0 → KS +-

- decays to CP final state, D0 → K+K-/+-

Measurements

arXiv: 0704.1000, 540 fb-1, subm. to PRL

common:D*+ →D0s

+

charge of s tags the flavor of initially produced D0;

p*(D*) > 2.5 GeV/celiminates D meson production from b → c

selection determined “blindly”PRL 98, 211803 (2007), 540fb-1

PRD72, 071101 (2005), 253 fb-1

PRL96, 151801 (2006), 400 fb-1


Measurements K+K- / +-

PRL 98, 211803 (2007), 540fb-1

D0 → K+K- / +-

CP even final state;in the limit of no CPV: CP|D1> = |D1> measure 1/1

002,1 XqXpX

y

xAyKK

Ky

CPVno

MCP

sin

2

1cos1

)(

)(

S. Bergman et al., PLB486, 418 (2000)

AM, : CPV in mixing and interference

Signal

sideband

M(K+K- ) , Q=M(K+K- s)- M(K+K- )- M(), t, selection optimized on MC

K+K- K-+ +-

Nsig 111x103 1.22x106 49x103

P 98% 99% 92%B. Golob, Belle D0 Mixing 6 Lepton Photon ‘07, Daegu


Fitsimultaneous binned likelihood fit to K+K- /K-+/+- decay-t, common free yCP

)(')'(/' tBdttteN

dt

dN t R

= 408.7±0.6 fs

event-by-event t

K-+

parameters of R depend slightlyon data taking conditions

PRL 98, 211803 (2007), 540fb-1


PDG=410.1±1.5 fs

constructed usingevent-by-event t

M sideband


Result

K+K-/+-

and K-+ratio

difference of lifetimesvisually observable

evidence for D0 mixing(regardless of possible CPV)

3.2 from zero (4.1 stat. only)

2/ndf=1.084 (ndf=289)

+

negligible CPV, yCP=y

PRL 98, 211803 (2007), 540fb-1


)%25.032.031.1(CPy ±1

Measurements KS +-


t-dependent Dalitz analysis different decays identified through Dalitz analysis; CF: D0 → K*-+

DCS: D0 → K*+-

CP: D0 → 0 KS

their relative phases determined (unlike D0 → K+-);

t-dependence:

titi

titi

S

eemmp

q

eemm

tDKtmm

21

21

),(2

1

),(2

1

)(),,(

22

22

022

A

A

M

< f | D0 >

< f | D0 >

1,2=f(x,y); n.b.: K+-:x’2, y’

NRr iNR

ir eammBeamm

),(),( 2222A

m±2 = m2(KS±)

M = < f | D0(t) > analogous

sum of intermediate states


Measurements KS +-

),m(m),m(mp

q-

2222,1 MM


fit M(m-2,m+

2,t) to data distribution x, y

Fit no CPV:

M(KS +- ) and Q= M(KS +-s)- M(KS +-)- M();3 signal region in M, Q

Signal

Nsig= (534.4±0.8)x103

P 95%

Dalitz model

13 BW resonances, non-resonant contr.;comb. bkg.: from M sideband

t

Msignalrnd slow pcombin.

NRr iNR

ir eammBeamm

),(),( 2222A


Measurements KS +-


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)


Measurements KS +-


Decay-t projection of fit

t [fs]

= 409.9±0.9 fs

most sensitivemeas. of x;

Cleo, PRD72, 012001 (2005)x = 1.8 ± 3.4 ± 0.6%y = -1.4 ± 2.5 ± 0.9 %

PDG=410.1±1.5 fs

comb.bkg.

PRD72, 071101 (2005), 253 fb-1

D0 → K(*) l PRL96, 151801 (2006), 400 fb-1

D0 → K+ -

2-d 68% C.L. region


)%24.033.0()%29.080.0(

14.010.016.013.0

yx

2-d 68% C.L. region

D0 → K+K-/+-

PRL 98, 211803 (2007), 540fb-1

Measurements CPV

CPV in D0 systemfirst two generations involved:

0;1)2

1(/ MM A

Apq

)10(~2

~ 352

OA

t distributions depend also on CPV parameters;x, y at upper limit of SM expectation → search for CPV; at current level of sensitivity positive signal clear indication of NP;

Wolfensteinparameter.

CPV in decay: 1/ ff AA (singly Cabibbo supp. decays only)

CPV in mixing:

0;0)1(

2/1ImIm

i

DD

M

f

f eAR

A

A

A

p

q

CPV expected to be small in SM

CPV in interf. mix./decay:


Measurements CPV

CPV in D0 → K+K- / +-

sin2

1cos1

)(

)(xAy

KK

Ky MCP

sincos2

1

)()(

)()(00

00

xyAKKDKKD

KKDKKDA M

CPV in D0 → KS +-

include |q/p| (AM) and as additional free param.

separate for D0, D0

95%C.L.


)%15.030.001.0( A

09.010.0

0.290.30 0.86 |q/p|

rad 0.09) (-0.24 31.028.0

Measurements CPV

CPV in D0 → +-0


CPV in decay, integrated over t and Dalitz space

D0 → +-0 D0 → +-0

)()(

)()(0000

0000

DD

DDACP

)%31.141.043.0( CPA )%1( 910CPA

540 fb-1, preliminary

Cleo, PRD 72, 031102 (2005)

Belle

prelim

inary

Measurements average

Combination, no CPV all available meas.; observables (yCP, x, ...) → x, y, K, RD

sum of likelihood curves, non-Gaussian shapes accounted for

HFAG charm, http://www.slac.stanford.edu/xorg/hfag/charm/index.html


% ) (0.66 y 0.200.21

% ) (0.87 x 0.340.30


Combination, CPV observables (A, x, ...) → |q/p|, , AD, x, y, RD, K

2 minimization, non-Gaussian shapes not accounted for



% 0.21) (0.69 y

% ) (0.84 x 0.340.32

0.200.23 0.88 |q/p|

rad ) (-0.09 0.190.17

Prospects & Summary Super-B factory extrapolation of existing Belle results

L = 5 ab-1 L = 50 ab-1

(x) 0.1% 0.07%(y) 0.1% 0.07%(AM) 0.1 0.070.1 rad 0.07 rad

Summary 2007: D0 mixing established (slowest of all neutral mesons) Belle presented first evidence for D0 mixing (yCP), most precise x meas.; confirmation in D0 → K+K-, KS+-, other sensitive modes? (esp. x, from Dalitz analyses, sign)? combination of existing D0 mixing results:

established at ~5 ; x,y ~ O(10-2); (x,y) ~ 0.3%; observed mixing may (not) be arising from SM → important CPV search existing facilities: any CPV indication of NP Super-B: allows to test CP asymmetries to few 10-4 (SM expectations)


LHCb, 10 fb-1 (5 y): (x’2)~6x10-5, (y’)~0.9x10-3

(yCP)~0.05%

Introduction (bckup) Physics of c-hadrons increased interest at B-factories in recent years

Dual role of charm

standalone field of SM tests and search for new phenomena (SM and/or NP)

experimental tests of theor. predictions (most notably of (L)QCD); improve precision of CKM measurements (B physics);

√s = M((4S))c2=10.58 GeV

B-factory, c-factory

(B B) 1.1 nb (~750·106 BB pairs)

(c c) 1.3 nb (~850·106 XcYc pairs)

→ D0-D0 Mixing


Phenomenology bckup

Mixing phenomena in course of life neutral meson X0 can transform into anti-meson X0

X0 = K0, Bd

0, Bs0 and D0

t-dependent Schrödinger eq.:

mass eigenstates: eigenvalues:

002,1 XqXpX

X0q1

q2

q2

q1

X0

)(

)(

2)(

)(0

0

0

0

tX

tXi

tX

tX

ti ΓM

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

CP eigenstates if q/p=1


D0 - D0 Phenomenology (bckup)

Mixing description observation of K0: 1950 (Caletch) mixing in K0: 1956 (Columbia) observation of Bd

0: 1983 (CESR) mixing in Bd

0: 1987 (Desy) observation of Bs

0: 1992 (LEP) mixing in Bs

0: 2006 (Fermilab) observation of D0: 1976 (SLAC) mixing in D0: 2007 (KEK, SLAC) (evidence of)

c

u

u

c

d, s, b d, s, b

W+

W-

D0 D0

Vci*

Vcj

Vuj*

Vui6years

4years

14years

31years

),( 2

,,,

2**00j

bsdjiiujcjuicieff mmVVVVDHD

F

if mi = mj due to CKM unitarity: no D0 D0 mixing

|Vcb*Vub|<< |Vcs*Vus|, |Vcd*Vud|

mainly d,s contrib.; md ~ ms mixing small

(as opposed to Bd0, where term

with mt2 |Vtb* Vtd|2 dominates)

d-like quarks in loop


D0 - D0 Phenomenology (bckup)

c

u

u

c

d, s, b d, s, b

W+

W-

D0 D0

Vci*

Vcj

Vuj*

Vui

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

x and y in SM 2nd order perturb.:

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


D0 - D0 Phenomenology (bckup) Oscillations

visually unobservabledeviation from pure exponential

~ Bs0

more difficult to observeoscillations within


right sign (RS)

Semileptonic (bckup) PRD72, 071101 (2005), 253 fb-1

Semileptonic decays Wrong charge combinations (WS):

D*+ → D0 slow+ D0 → D0 → K(*)+ e-

no “DCS” decays NWS/NRS = RM (x2+y2)/2

Reconstruct : missing momentum with kinematic constraints

Signal:M = M(Keslow) - M(Ke)

tetyx

tDK 2

2220

4)(

0; ff AAKf

NRS = (229.45 ± 0.69) ·103


Semileptonic (bckup) PRD72, 071101 (2005), 253 fb-1

Result:

RM = (0.20 ± 0.47 ± 0.14) ·10-3

RM < 1.2 · 10-3 95% C.L.

dominating systematics from limited bkg. statistics (embedded slow)

Decay time: reduce bkg., increase sensitivity;

<t >(bkg., RS) < <t >(mix. signal)

6 bins in 1 < t < 10

iWS

iRS

iRS

iWSiM N

NR

,

,

,

,,

allowed


K+- (bckup)

D*+ → D0 slow+ D0 → D0 → K+ -

DCS decays interference

tDD et

yxtyRRtDK

2

2220

4

''')(

Wrong charge combinations (WS):

Signal:M= M(K)

Q = M(K slow) - M(K) - M()

2D M-Q fit:

NWS = 4024 ± 88

3 M interval

WS

WSrateCF

rateDCSR

xyyyxx

D

sincos'sincos'

PRL96, 151801 (2006), 400 fb-1

3 Q interval

t-dependence to separate DCS/mixed


K+- (bckup)

PRL96, 151801 (2006), 400 fb-1

Decay time: resol. function from RS

(D0) = 409.9 ± 0.7 fs x’2, y’, RD free parameters

Results: RD = (3.64 ± 0.17 ) ·10-3

x’2 = (0.18 ± 0.210.23) · 10-3

y’ = (0.6 ± 4.03.9) · 10-3

95% C.L. (x’2, y’) contourfrequentist, FC ordering

WS t dist.


Measurements K+- bckup

PRL96, 151801 (2006), 400 fb-1

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


K+- BaBar comp. (bckup)

BaBar, hep-ex/0703020, 384fb-1, acc. to PRL

ResultRD = (3.03 ± 0.19) ·10-3

x’2 = (-0.22 ± 0.37) · 10-3

y’ = (9.7 ± 5.4 ) · 10-3

including sys. error

1 2

3

3.9

Comparison

consistent

evidence for (x,y) (0,0)


Prospects bckup perspective (1 ab-1)

1

3

x, y at upper limit of SM expectation search for CPV; at current level of sensitivity positive signal clear indication of NP;

(x) ~ ±0.21%(y) ~ ±0.17%


KS+- syst. (bckup)

D0 → KS+-

arXiv: 0704.1000

M(KS +- ) and Q= M(KS +-s)- M(KS +-)- M();3 signal region in M, Q


KS+- syst. (bckup)

D0 → KS+-

Largestsystematics

arXiv: 0704.1000

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


KS+- syst. (bckup)

D0 → KS+-

Largestsystematics

arXiv: 0704.1000

model dependence [10-4]: x y -10.3 +0.1 K*0(1430) DCS/CF -15% +12.5 -4.4 K*2(1430) DCS/CF fixed to K*(892) -6.4 +5.0 K*(1410) DCS & CF fixed to K*(892) --------------------------------- +15 +8 +10 +6 Total model dep. -16 -9 -14 -8


KS+- param. (bckup)

D0 → KS+- parameterization

arXiv: 0704.1000

)(),(),(

)(),(),()(

22222

122220

temmmm

temmmmtDKS

AA

AAM

),(),(:

),(),(

),(),(

2222

2222

2222

mmmmCPVdirectno

eammAeamm

eammAeamm

r

iNRr

ir

r

iNRr

ir

NRr

NRr

AA

A

A

)(),(),(

)(),(),()(

22222

122220

temmmm

temmmmtDKS

AA

AAM


KS+- param. (bckup)

D0 → KS+-

arXiv: 0704.1000

CP=+1 states

),(),(

)(

1),(

2222

222222

00

00

0

mmmm

iMmmMMmm

SS

S

KfKf

ffKf

AA

A

)(),(),(

)(),(),()(

22222

122220

temmmm

temmmmtDKS

AA

AAM

11

)1

exp()()(1

11

10

CPCP y

y

ty

tetDCP

M

Cleo, PRD 63, 092001 (2001)

parameterization as in


KS+- param. (bckup)

D0 → KS+-

arXiv: 0704.1000

CP= -1 states

),(),(

)(),(

2222

2222

2222

00

00

0

mmmm

iMmmMM

mmmm

SS

S

KK

K

AA

A

)(),(),(

)(),(),()(

22222

122220

temmmm

temmmmtDKS

AA

AAM

1

1

)1

exp()()(1

11

20

CPCP y

y

ty

tetDCP

M

Cleo, PRD 63, 092001 (2001)

parameterization as in


KS+- K-matrix (bckup)

D0 → KS+-

scalar

arXiv: 0704.1000

BW formalism:M(1) = 527 ±6 MeV/c2

(1) = 442 ± 10 MeV

M(2) = 1031 ±11 MeV/c2

(2) = 94 ± 6 MeV

qkpqjpjkjk TiTTT 2

K-matrix formalism:unit. relat. for 2-body scatt. trans. operator:

T: NchxNch matrixfor Nch coupled chann.;: density of final states

product. process (init. state non-interactingwith channel j); trans. ampl. unitarity:

qjpqpjj TiFFF ** 2

Nch

qjqj TaF1

satisf. by

defining 1)( KiIKT

unitarity satisf. if KK

product. ampl.:1)( KiIaKF

':5:4

4:3:2:1

)()(5

1

111

KK

aKKiIFj

jj

V.V. Anisovich, A.V. Sarantev, Eur.Phys.J. A16, 229 (2003)BaBar, hep-ex/0507101

parameters taken from:


KS+- eff., resol. (bckup)

D0 → KS+-

efficiency and resol. in M(

arXiv: 0704.1000

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)


KS+- toy MC (bckup)

D0 → KS+-

arXiv: 0704.1000

MC tests, correct reconstruction of input;

t-projection;

Psig M(m-2,m+

2,t) R(t)

Prnd [(1-fw) M(m-2,m+

2,t) +fw M(m+2,m-

2,t)]

R(t)

Pcmb Msideband(m-2,m+

2,t)

* [ (t) + Exp(t) ]R’(t)


K+K- / +-, M, Q (bckup)

M [GeV/c2]

D0 → K+K- / +-

hep-ex/0703036v2


K+K- / +-, systematics (bckup)

D0 → K+K- / +-

systematics

hep-ex/0703036v2


K+K- only: yCP=(1.25 ±0.39)% A=(0.15 ±0.35)%+- only: yCP=(1.44 ±0.57)% A=(-0.28 ±0.52)%

K+K- / +- resolution (bckup)

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

PRL 98, 211803 (2007), 540fb-1


PDG=410.1±1.5 fs

K+K- / +-, t fit (bckup)

D0 → K+K- / +-

running periods w/ diff. conditions

< t >

fitted t0 of R for K

robust to resol. f. shape; R(t): single Gauss →=3.5%, yCP=0.01%;

no bias, reweigted MC: yCP(out) - yCP(in) < 0.04%;

background P=98% (KK), 99% (K), 92% (); changing data side band/MC signal, yCP = -0.04%; bkg. subtracted / no bkg. subtraction, yCP = -0.07%; bkg. subtracted / MC signal subtr., yCP= -0.03%;

systematic checks

hep-ex/0703036v2


K+K- / +-, t0 (bckup)

D0 → K+K- / +-

fitted t0 of R in diff. run periods and diff. decay modes

hep-ex/0703036v2


K+K- / +-, t0 (bckup)

D0 → K+K- / +-

equal t0 assumption

yCP=t0CP - t0

K / K

from MC cocktail, includingrunning periodswith slight misalign.of SVD

hep-ex/0703036v2


K+K- / +-, bkg t distr. (bckup)

D0 → K+K- / +-

background comparison

small tail ofsignal present inside band, only visible in K sample;

fraction of rnd s

negligible:0.3%, 0.3%, 0.2%KK K

hep-ex/0703036v2


K+K- / +-, KS+- comparison (bckup)

KS +- : (x,y)=(0,0) has C.L. 2.6%

K+K- / +-: y=0 has C.L. 6x10-4

Results


Measurements average (bckup) Combination, no CPV sum of likelihood curves, non-Gaussian shapes accounted

yCPx



% 0.321) (1.122 yCP % 0.334) (0.811 x


y



% 0.281) (0.309 y

K

rad ) (0.33 29.026.0

K


y



x

D0 → K+ -

x’2

y’

CPV: AD = (-0.76 ± 3.10)%

Measurements average (bckup)



20.023.0 0.88 |q/p|

rad ) (-0.09 19.017.0

Combination, CPV observables (A, x, ...) → |q/p|, , AD, x, y, RD, K

2 minimization, non-Gaussian shapes not accounted for

|q/p|

overall fit:2/ndf = 14.4 / 7

Measurements Combination

1996 FNAL E791 R M = (0.11 +0.30 −0.27 +0.00 −0.014 )%

2005 CLEO II.V R M = (0.16 ± 0.29 ± 0.29 )% 2004 BaBar R M = (0.23 ± 0.12 ± 0.04 )% 2005 Belle R M = (0.020 ± 0.047 ± 0.014 )

1999 FNAL E791 = (0.04 ± 0.14 ± 0.05 ) ps −1 (yCP = (0.8 ± 3.1)%)2000 FOCUS y CP = (3.42 ± 1.39 ± 0.74 )% 2002 CLEO II.V y CP = (−1.2 ± 2.5 ± 1.4 )% 2003 BaBar y CP = (0.8 ± 0.4 +0.5 −0.4 )% 2002 Belle y CP = (−0.5 ± 1.0 +0.7 −0.8 )% 2007 Belle y CP = (1.31 ± 0.32 ± 0.25 )%

2006 Belle x' 2 = (0.018 +0.021 −0.023 )% y' = (0.06 +0.40 −0.39 )%2007 BaBar x' 2 = (−0.022 ± 0.030 ± 0.021)% y' = (0.97 ± 0.44 ± 0.31)%

2006 BaBar K + π − π 0 RM = (0.023 +0.018 −0.014 ± 0.004)%2006 BaBar K + π − π+ π− RM = (0.019 +0.016 −0.015 ± 0.002)%

2005/2007 CLEO II.V x = (1.9 +3.2 −3.3 ± 0.4 ± 0.4)% y = (−1.4 ± 2.4 ± 0.8 ± 0.4)%2007 Belle x = (0.80 ± 0.29 ± 0.17)% y = (0.33 ± 0.24 ± 0.15)%

2006 CLEO-c RM = (0.17 ± 0.15)% y = (−5.8 ± 6.6)% cos δK π = 1.09 ± 0.66

RM semil.

yCP

x’2, y’

RM Kn

x, y

Cleo-c


http://www.slac.stanford.edu/spires/find/hep/www?eprint=hep-ex/9606016






Average

fit to individual measurements with x, y, free

assumingGaussianp.d.f.’s;

correlation forK+-;

illustration!


Prospects bckup

Combination numbers very preliminary

(yCP) ~ 0.15%, (A/yCP) ~ 0.10

(x) ~ (y) ~ 0.15%, (|q/p|) ~ () ~ 0.10

(x’2) ~ 0.12x10-3, (y’) ~ 0.20%

(x) ~ (y) ~ 0.10%(cos ) ~ 0.07(|q/p|) ~ 0.09, () ~0.05 rad

D0 → K+K- / +-

D0 → KS+-

D0 → K+-

combined

approximate projections to 5 ab-1


recent results on d 0 m ixing from belle

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