CKM03 workshop

What I learntR. Faccini

Beta Lots of importance is given to VV modes Angular analysis could reveal new physics because

there are T-odd coefficients (triple products v1xv2•v3) which are supposed to be present in absence of two phases with different weak phases Separately for charged and neutral modes Separately for B and B

This method allows to test and bound possible other diagrams; New physics Penguins/tree

Note: these methods are in addition to CPV in oscillation and direct CPV

A. Datta D. London hep-ph/0303159D. London, N.&R. Sinha hep-ph/0207007

VV modes (cont’d) How :

for flavour eigenstates it is just a reparametrization of current analysis

For CP eigenstates time-dep analysis with 18 parameters

Which modes? General criteria: to expect 0 TP in SM one needs to have

all amplitudes with the same phase. This cannot happen if a meson is made of more combinations of quarks (e.g. ). In this case the problem is solved taking higher resonances (’)

VV list of modes

J/ K* Test of NP. Repeate current analysis with separate B and B amp.

D*D* Upper bound on |T/P| and on |-eff|

D*Ds* New physics

K*,’* NP or tree

K*,K* T violation is expected ()

Complicated mixture (T expected)

Ways to cos2 Angular analysis in J/ K* returns sin()cos(2)

Fleisher suggests to use the sign of the strong phase from factorization

deFazio showed factorization does not hold in charmonium decays (c0K) which means the argument from Fleisher does not hold

Kayser method (J/YK0 vs J/YK0) is still theoretically the best but it is not applicable

DDK seems to be the only possibilityT.E.Browder et al., Phys.Rev.D61:054009,2000

in charmless decays

No theo hypothesis

whatever

Contributions from bu transitions bring a dependence of CPV from Measure directly in direct CP asymmetries & B+ decay rates Measure with CPV in mixing

Two cases

d

u

dB b

d

cD

d

B

cD

A1~2c

b

d d

u

u

u

uB b

s

cD

A2~4c

A1~3c

u

c

uB

b

s

u

A2~3c

D

sin2: A2 doubly cabibbo suppressed

sin: A2 colour suppressed

sin2 in D(*)

we do not know We are currently using

But: What is the error on this SU(3) symmetry? BaBar is

currently quoting 30% … although form factors have only 10%

What are the possible contributions from annihilations? Br(DsK) seems to say A~0.1 Emissions

We might be better off quoting =14%

0 *

0

( )

( )

A B D

A B D

Dtan2C

BF (B D)BF (B Ds)

fD2fDs2

d

c

dB

DsD

b u

s,d

The 18 parameters fit has been discussed as a mean also to observe new physics (5000 fully reco in current data sample)

Idea! Use the measured ||(L=1) in D*to estimate ||(D*)

On 100 fb-1 sin~0.35

sin2 in D*

London,Sinha Phys.Rev.Lett.85:1807(2000)

DK : GLW

Measure B-D0K, B-D0K and B-D0CPK

In 100fb-1:

N(B-D0CPK)~25 (per eigenstate)

but how to get B-D0K ? Should investigate lepton D0 decays. Expect 14 events … basically impossible

Currently backing up to use

1,2 1,2 212

0 0

( ) / ( )1 2 cos cos

( ) / ( )

B B D K B B DR R R

B B D K B B D

1,2 1,21,2

1,2 1,2 12

( ) ( ) 2 sin sin

( ) ( )

B B D K B B D K RA

B B D K B B D K R

R, unknown

Gronau,London Phys Lett B253, 483 (1991)

DK: ADS Find B-[f]K- and B+[f]K+ where f is a

mode where the Br(D0f)<<Br(D0f) Relevant parameter

For instance in 100 fb-1 N([K+-,K3,K0]K(*)-)~30 Q~0.5 (expected asymmetry) More modes can be added Backgrounds?

0 0 0 0

0 0 0 0

( ) ( ) ( ) ( )

( ) ( ) ( ) ( )

Br B D K Br D f Br B D K Br D fQ

Br B D K Br D f Br B D K Br D f

D.Atwood,Dunietz,A. Soni hep-ph 9612433

D0K0

Do the time dependent analysis both for D0 in CP eigenstates or not

With the BF measured by Belle in D0Ks

N(K)~30 x 2 (D*0) N(Ks0)~3

Very important: Kl modes are also very useful (add independent constraints) N(K)~25 BUT A LOT OF BACKGROUND

Can we just do the direct CPV if non-CP eigenstates? No, don’t learn anything

D. Atwood, A. Soni hep-ph/0206045

DK inclusive approaches Both ADS and D0K0 can be done with inclusive

approaches B- [K+X]K-(0 for D*0) N~800 Q~0.3 (!!! But what

about bkgd?How to associate K+ to D0? Lepton tag -> down to 50 events) looks really tough!!!

B0 [KsX]Ks N~100 but it will be hard to make t

measurements B0 [K+X]Ks

N~600

If we do not want to go for partial reco, X can be a list of modes (semi-exclusive approach)

It all looks very tough!!!

D. Atwood, A. Soni, hep-ph/0304085

D(dalitz)K-

A subsample of the previous class is the use of D dalitz plot. If one parametrizes the whole dalitz structure (from inclusive D) one can fit for sin.

Proposed mode f=Ks In 100 fb-1 we should have ~300 events

Soffer,Zupan hep-ph/0303187

DK Direct CP in B- D0K-0

Measures Oscillations in B0 D0Ks-

Measures sin(2+ Advantages

Two amplitudes of same size Disadvantages

Need to make sure there are interference regions Need to know dalitz structure

Summary of Charm decays

GLW B-D0K cannot be measured Exploit R1,2 and A1,2 .Too Low stat.

ADS B -[f]K-: best modes K,K0,K3. Expect ~30 evts in 100fb-1 with expected asymmetry of ~0.5

D (*) 0K(*)0 CPV in oscillations. ~60evts/100fb-1

Inclusive approaches

In ADS it might be possible to use [f]=KX (Nev~60) [high backgrounds]

KL Bring additional info (D(*)0KL?)

D(multi)K Exploit DKsssextract sin: expect ~300 evts in 100/fb

DK expect 700 evts/100fb-1 Is there enough interference region?

D* Few measurements with errors ~0.5 are bound to come

VV D* can give sin()~0.4/100 fb-1

Can be used to get || for D*

in 2-3 body“ the only hope is not to observe 00 and 00 “

bd: an idea

bdis a measurement that people would really like One idea:

Consider the recoil (300K in 100fb-1) Select events with a photon consistent with bs and a Ks (N0) or a

charged K (Nc) and estimate the pure b s yield (and therefore BF) from

Use the sample without kaons to estimate bd properly subtracting bs background

To reject Kl one should try ascribing to each Kl (or only those”more likely to be Kl”) the mass of the Kl and see if the consistency with a B decays increases

0

0

2

0.34c

sc

N NN

Miscellanea Tau polarization in Blprobes new

physics Forward –backwards asymmetry in Kll,

Xsll,mll spectrum … all measurements that should be done!