d 0 mixing

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


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


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


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


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


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)


)%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


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


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


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-+))


)%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


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


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


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


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

>>



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



D0D0 in C=+1 state (D0D0 );tagged asymmetry:

MMCCP

MCCP

ARAbn

AxA

yeSeS

eSeSA

1

1

:..

sincos2)()(

)()(



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]



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


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, ...)


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


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]


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


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


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


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


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]


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


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


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

????

????


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


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


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


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


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


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


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


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


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


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)


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


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)


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


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;


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


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


)%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


(3770) →D0D0 bckup

2

211200

2100

00,,

200

)(

2

1,

;,,)(

;)(

DjDiDjDiijDD

DDDD

DjiDjiAA

AAAAijDD

jiji

jiji

D0, D0 in anti-symmetric state


Average bckup

Average of resultsinputs

http://www.slac.stanford.edu/xorg/hfag/charm/andHFAG, arXiv:0808.2268


Average bckup

2 of fit

http://www.slac.stanford.edu/xorg/hfag/charm/ andHFAG, arXiv:0808.2268


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.


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


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;

d 0 mixing

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