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U nitarity T riangle fits. Achille Stocchi LAL-Orsay (IN2P3/CNRS). RESULTS BASED ON THE WORK OF. Collaboration. http://www.utfit.org. M. Bona, M. Ciuchini, E. Franco, V. Lubicz, G. Martinelli, F. Parodi, M. Pierini, P. Roudeau, C. Schiavi, L. Silvestrini, A .  Stocchi, V.Vagnoni.

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slide1

UnitarityTriangle fits

Achille Stocchi

LAL-Orsay (IN2P3/CNRS)

slide2

RESULTS BASED ON THE WORK OF

Collaboration

http://www.utfit.org

M. Bona, M. Ciuchini, E. Franco, V. Lubicz, G. Martinelli, F. Parodi,

M. Pierini, P. Roudeau, C. Schiavi, L. Silvestrini, A. Stocchi, V.Vagnoni

Recent papers:

M. Bona et al. hep-ph/0509219 accepted in JHEP

M . Bona et al. (hep-ph/0501199) JHEP 0507 (2005) 028

slide3

Bccs : 1 /b

K : CPV in K decays

bcℓ and buℓ

Bd and Bs mixing

B// : 2/

BDK : 3/

How to fit the UT parameters and fit new physics

From M.H. Schune

plenary talk EPS2005

slide4

Total Fit

Dmd,Dms,Vub,Vcb,ek+ cos2b + b +a +g + 2b+g

r = 0.210 ± 0.036

[0.137, 0.279] @ 95% Prob.

h = 0.347 ± 0.021

[0.306, 0.389] @ 95% Prob.

slide5

Sides + eK

r = 0.218 ± 0.043

[0.129, 0.299] @ 95% Prob.

h = 0.385 ± 0.028

[0.,328, 0.440] @ 95% Prob.

UT with angles only

sin(b+g)

g

cos2b

a

b

r = 0.187 ± 0.052

[0.090, 0.299] @ 95% Prob.

h = 0.322 ± 0.025

[0.274, 0.373] @ 95% Prob.

sin(2b)

slide6

Test of SM (I)

The presence of New Physics might appear

as a disagreement between the new

measurements and what the fit predicts

(given by the color code).

aandg (for the moment) are OK.

The next validation will come from

Dms for the bs sector.

SM solution

only

?

SM solution

only

slide7

Test of SM (II)

sin2b=0.687±0.032

From direct measurement

we have a weak sign

of a disagreement

sin2b =0.791±0.034

from indirect determination

slide8

Tension in the fit

exclusive: BRs from HFAG;

form factor from quenched LQCD

Vub=(3.80±0.27±0.47)10-3

inclusive from HFAG

Vub=(4.38±0.19±0.27)10-3

It can be

interpreted

as a problem

with data,

but it could

be evidence

of New Physics

incl.+excl.

Vub = (4.22 ± 0.20) 10-3

from all the other inputs:

Vub = (3.48 ± 0.20) 10-3

slide9

Where do we really are on our knowledge of UT ?

Fit with NP independent variables

Fit in a NP

model independent approach

slide10

Fit with NP independent variables

If we use only Tree level processes -which can be assumed to be NP free-

It is very important to improve

Vub/Vcb from s.l decays

g from tree level proceses

(similar plot in Botella et al. hep-ph/0502133)

slide11

Fit in a NP model independent approach

DF=2

Parametrizing NP

physics in DF=2 processes

5 new free parameters

Cs,js Bs mixing

Cd,jd Bd mixing

CeK K mixing

Constraints

Not yet available

Today : fit possible with 6 contraints and

5 free parameters (r, h, Cd,jd ,CeK)

slide12

Fit in a NP model independent approach

Using

Vub/Vcb

Dmd

ACP (J/Y K)

g (DK)

eK

ASL

a

cos2b

large NP with

arbitrary phase

NP solution 4%

SM-likesolution 96%

SM or small NP with

arbitrary phase or large

NP with SM phase.

NLO effects included

slide13

Fit in a NP model independent approach

fBd = -(4.7 ± 2.3)o

Ce = 0.95 ± 0.18

CBd = 1.27± 0.44

NP in DB=2 and DS=2 could be up to 50% wrt SM only if has the same phase of the SM

slide14

With present data ANP/ASM=0 @1s

sensitive to small effects

Artificially removing the present disagreement

~20% @ 95% prob for generic fNP

ANP/ASM vs fNP

ANP/ASM ~1 only if fNP~0

ANP/ASM ~0-40% @95% prob.

slide15

TWO SCENARIOS seems to be « favourite »

MFV

New CP in bs

What to do ?

- Improvements existing measurements

- DF=1 Penguins transitions (just 1 transparency)

- The Bs physics (LHCb/Tevatron)

- Rare decays (not discussed in this talk)

slide16

h = 0.319 ± 0.039 UUTfit

UniversalUTfit

Buras et al. hep-ph/0007085

MFV = CKM is the only source of

flavour mixing.eKandDmd are

not used (sensitive to NP).

r = 0.258 ± 0.066 UUTfit

Almost as good as the SM !!

Starting point for studies of rare decays see for instance : Bobeth et al. hep-ph/0505110

slide17

MFV

In models with one Higgs doublet or low/moderate tanb

(D’Ambrosio et al. hep-ph/0207036)

NP enters as additional contribution in top box diagram

L0 is the equivalent SM scale

dS0 = -0.03 ± 0.54

[-0.90, 1.79] @95% Prob.

To be compared with tested scale using for instance b->sg (9-12Tev)

D’Ambrosio et al. hep-ph/0207036

slide18

L > 2.6 TeV @ 95% for dS0(xt) > 0

L > 3.2 TeV @ 95% for dS0(xt) > 0

L > 4.9 TeV @ 95% for dS0(xt) < 0

L > 4.9 TeV @ 95% for dS0(xt) < 0

MFV

2Higgs + large tanb also bottom Yukawa coupling must be considered

dS0B≠dS0K

dS0B

dS0K

Could give infomation on the tanb regime …not yet at the present

Correlation coefficient =0.52

slide19

New physics in bs transitions

DF=1

DF=2

W-

s

f

b

s

t

B0d

s

K0

d

d

~

g

~

~

s

b

b

s

other information

The SUSY option

if

Dms>31(38)ps-1

new physcis at 3(5)s

slide20

CKM2010

CKM Matrix in ≤2010-where we will be

We have supposed that

- B Factories will collect 2ab-1

- two years data taking at LHCb (4fb-1)

Inputs

  • b < 1° from charmonium
  • ~ 7 °
  • ~ 5°

(half B-factories/half LHCb)

fBBB ~ 5%

x ~ 3%

BK ~ 5%

Vub ~ 5%

Vcb ~ 1%

Dms at 0.3ps-1

(Tevatron or/and LHCb)

Lattice

sin2c ± 0.045

Outputs

slide21

Parenthesis for Lattice people

Bands are 95% regions

from angle measurements

Bands are 95% regions

from sides measurements

Contours are 68%/95% regions

from sides measurements

Contours are 68%/95% regions

from angle measurements

An important point is that the relative precisions on

CP-violating quantities are on phase with CP-conserving quantities

IF

fBBB ~ 5%

x ~ 3%

BK ~ 5%

Lattice calculations at

few % level

slide22

CKM2010

In the « sad » hypotesis the SM still work in 2010….

φBd = (-0.1 ± 1.3)o

CBd = 0.98 ± 0.14

φBs = (0.0 ± 1.3)o

CBs = 0.99 ± 0.12

in ≤2010 : same and impressive precision on b d and b s transitions

VERY IMPORTANT

slide23

SM expectation

New comers soon.. ?

exp. limit

B → tn

< 1.8 10-4 @ 90% CL

BR(B → τ ν) = (1.03 ± 0.32)10-4

([0.47,1.74] @ 95% prob.)

Exp. likelkihood

BR(B → τ ν) = (0.98 ± 0.49)10-4 [0.17,2.08] @ 95% prob.)

fB = 0.178 ± 0.062 GeV from the exp+UTfitfB = 0.192 ± 0.026 ± 0.009 GeV Lattice QCD

slide24

Conclusions

UTfits are in a mature age with recent

precise measurement of UT sides and angles

The SM CKM picture of CP violation and

FCNC is strongly supported by data

Generic NP in the b  d start to be quite constrained

fBd ~ 0

At least in this sector, we are beyond the alternative

to CKM picture, and we should look at « corrections ».

slide25

Studied presented in MFV.

We start to test interesting NP scales.

Bd sector

CKM2010

We need precision measurements to test NP and

to push the NP scale in interesting ranges and to

play the complementarity at LHC

Bs sector

CKM2010

What about the bs DB=2 sector ? Still

large room for NP. LHCb plays the central

role on it.

slide26

and if SuperB…..

See Report INFN-AE 05-08

and related talks at this conference

slide28

BR(B → rg)

BR(B → K*g)

caveat:

* SU(3) breaking effect

* LQCD/mb correctionsB(~cosa) to r/wg

( smaller for B0 than B+)

Using the |Vtd/Vts| value from

the SM, we can extract DR.

|Vtd/Vts| = 0.10 ± 0.45

[0.02,0.18] @ 95% Prob.

DR = -0.67 ± 0.24

[-0.99, 0.10] @ 95%

using only

B → r0g

slide29

D'Ambrosio, Isidori

hep-ph/0112135

K±p±nn

with 3 signal events

}

ellipse centered in (r0, 0)

latest result from E949:

BR(K± p±nn) = 1.47 10-10

+1.30

- 0.89

10% error with

UTfit central value

(BR = 0.83 10-10)

10% error

with current

central value

slide30

Using

Fit in a NP model independent approach

Vub/Vcb

Dmd

ACP (J/Y K)

g (DK)

eK

a

a

SM-like

a

a

slide31

CKM2010

In MFV

Now

 0.54

2010

 0.26