Nouvelle physique dans le mixing des Bd,s

et

approche frequentiste versus Bayesienne

Role of b→ ccs transitions

B0s B0

s

u, c, t

u, c, t

W , ?

W, ?

B0s

b

s b

s

W

s

b cc

ss

ψ

Φ+

Time-evolution:

Mixing phase – sensitive to NP Tree b→ccs phase ≈ 0

^

ICHEP update

Tevatron combination

D0 observes a fluctuation consistent with CDF (see J. Ellison just after me)

Combine CDF and D0 iso-CL regions previously checked for coverage:

2.2σ consistency with SM.

0.24 < βs < 0.57 OR 0.99 < βs < 1.33 at 68% CL

ICHEP update

hep.physics.indiana.edu/~rickv/hfag/combine_dGs.html

Oscillations

Phases

SL asymmetries

Lifetime diff.

)(SMmm qqq

q

qSMq

SMq

qqSL MA

)sin(.

,12

12

s

s

d

d

SMss

s

s

SMss

SM

SM

MArg

12

12

22

2222

22

CKMfitter

New Physics in Bd,s mesons mixing

• Assume that tree-level processes are not affected by NP (SM4FC)

• Assume that NP only affects the short distance physics in F=2 transisitons

0

1200

120 . q

SMq

NPqq

NPSMq BMBBMB

qqq i

qi

qi

qqqNPq ehereI 222 1 )(m i)Re(

Model-independent parametrisation

Observables affected by NP in mixing : SM parameters are fixed by :

|Vub|, |Vcb|, |Vud|, |Vus|, γ(α)=

Observables w/ “Tree” processesInputs:

B

)cos(.2 12 q

SMq

qq

|Vub |

UTfit claimArxiv:0803.0658v1[hep-ex] March, 5, 2008

Some caveats:

Do not account for non-Gaussian tails.

Some ‘guesswork’ to remove from D0 results the assumptions they put in.

I do not believe the 3σ significance figure is rigorously derived.

Visual effect of constraintsConstraining the strong phases greatly increases the regularity of the Likelihood and improves the result. However, no robust theoretical prediction exist for the strong phases. Typical choice is to relate them to the B0→J/ψK*0 phases assuming SU(3) symmetry

CKMFitter

CKMfitter

New Physics in mixing : the Bs case

• Direct constraint on NP phase in Bs mixing

The CDF/D0 measurement of (ss from the time-dependent angular analysis of the BsJ/ provides a direct constraint on s

• Other constraints

ms : consistent with SM expectation

ASL(Bs) : large error wrt SM prediction

FS : weak constraint on

NP relation

tends to push the NP phase s towards SM.

)cos( sSMss

psSM

s )(0.090 019.00.022-

[Lenz,Nierste]

… it cannot tell much more on s than the direct Tevatron

measurement

Clean analysis : all theoretical uncertainties are in the Clean analysis : all theoretical uncertainties are in the SMSM prediction but… prediction but…

Using the HFAG combination of CDF and D0 likelihood :

Prefered value : 167.055.0

1421 150.0deg,45, / ,

psssss

CKMfitter

New Physics in mixing : the Bs case

Inputs:

ds mm &

sd BSL

BSL AA &

s

FSss &

hypothesishypothesis deviationdeviation

(1D) : = 0 2.5 2.5 σσ(2D) : Δs= 1 2.1 2.1 σσ

Inputs:

s)cos( s

SMss

FSs

• Constraint in the (ssplane

• Full SM+NP fit

hypothesishypothesis deviationdeviation

(1D) : s= s 2.4 2.4 σσ(2D) : (ss)ss ) 1.9 1.9 σσ

SM

Dominant constraint from m and s

Agreement with SM :Agreement with SM :

Agreement with SM :Agreement with SM :

SM

s

SM

Warning : only 68% CL regions are shown

B

s

The Bd case

Inputs:

dm

sm

B

K

sin2

CKMfitter

Global CKM fit : the overall SM picture

Summer 2008 (preliminary)all constraints together

061.0025.0

031.0104.0 308.0,214.0,

95% CL interval :

|Vub |

Nice agreement of all constraintsat the 2 level

The CKM mechanismIS the dominant source of

CP violation in the B system

CP-violating observables

CP-conserving observables

Angles (small theor. uncertainties) No angles (large theo. uncertainties)

CKMfitter

Global CKM fit : testing the CKM paradigm

Inputs:

dm

sm

B

Inputs:

K

sin2

Inputs:

sin2

Inputs:

dm

sm

B

K

|Vub |

|Vub |

Assuming there is no NP in I=3/2 b→d EW penguin amplitude. Use with (charmonium) to produce a new ‘Tree’.

Observables w/ “Tree” processes Observables involving Loops

CKMfitter

Global CKM fit : testing the CKM paradigm

Inputs:

dm

sm

Inputs:

K

sin2

B

|Vub |

sin2

BR

(B

)

• removing sin(2sin(2)) from the fit decreases χ²min by 2.62.6• removing BR(BBR(B from the fit decreases χ²min by 2.92.9

Either due to : - Fluctuations (of BR(B- Fluctuations (of BR(Band sin(2and sin(2 - Problem with lattice predictions - Problem with lattice predictions - Conspiration of all other input against BR(B- Conspiration of all other input against BR(Bsin(2sin(2 - New Physics- New Physics

Tension between sin(2Tension between sin(2) and BR(B) and BR(B

measurements

prediction

Non trivial correlation in the fit

The cartesian parametrization allows

for a simple geometrical interpretation of each individual constraints.

sBSLA

d

New Physics in mixing : the Bd case

hypothesishypothesis deviationdeviation

(1D) : = 0.9 0.9 σσ(2D) : Δd= 1 0.9σ

CKMfitter

Inputs:

s

d

m

m

dBSLA

)2sin(

Warning : only 68% CL regions are shown

Agreement with SM :Agreement with SM :

d

Dominant constraint from and md.Both agrees with SM.

Using ‘ICHEP08 updated’ inputs (except new D0 ASL value presented yesterday morning [T. Moulik]) s

BR(B) not included

)Im()Re( ddNPd i

New Physics in mixing : the Bd case

hypothesishypothesis deviationdeviation

(1D) : = 1.5 1.5 σσ(2D) : Δd= 1 2.1 2.1 σσ

CKMfitter

Inputs: Warning : only 68% CL regions are shown

Agreement with SM :Agreement with SM :

d

d

s

d

m

m

dBSLA

)2sin(

B

sBSLA

Including BR(B)

BCKMfitter

Helicity-suppressed annihilation decay sensitive to Helicity-suppressed annihilation decay sensitive to ffBB||VVubub||

2222

2

22BR( ) 1 8

F B B

BB ub

mG mf VB m

m

b

u

B

W

BR(B)x104

Belle (hadronic) 1.79±0.71 [2006]

Belle (semi-leptonic) 1.65±0.52 [ICHEP08]

Belle 1.70±0.42BABAR (hadronic) 1.80±1.00 [2007]

BABAR (semi-leptonic) 2.00±0.61 [CKM08]

BABAR 1.95±0.52

World AverageWorld Average 1.80 1.80 ± 0.33 ± 0.33

Experimental measurements

409.013.0 10)78.0(

BR

: experimental inputs

fBd=(fBd /fBs )xfBs =(223±15±25) MeV[N. Tantalo CKM2006]

Inputs:

dm

sm

K

sin2

|Vub |

Similar deviation with Ds

The various measurements are consistent

fBd=(fBd /fBs )xfBs =(223±15±25) MeV

[N. Tantalo CKM2006]

BBd=(BBd/BBs)xBBs=1.29±0.06±0.09

Inputs:

B

md

BBBdBd

sin2

|Vud|

BCKMfitter

Helicity-suppressed annihilation decay sensitive to fB|Vub|

Powerful Powerful togethertogether with with ΔΔmmdd : : removes removes ffBB dependencedependence

2222

2

22BR( ) 1 8

F B B

BB ub

mG mf VB m

m

b

u

B

W

: theoretical inputs

dBudBtW

B

d BVm

m

xSm

m

m

BBR22

22

2

2

2

21

)(sin

)(sin)1(

)(4

3)(

Theory free prediction for BBd

deviation :2.4

The tension is not driven by Vub (SL) nor fBd (nor K)

CKMfitter

A bit more about the tension & LQCD

V. Lubicz and C. Tarantino (2008) [arXiv:0807.4605] Tantalo

Becirevic

)02.000.1(

)08.005.029.1(

)05.002.020.1(

)2017268(

ds

s

ds

s

BB

B

BB

B

BB

B

ff

MeVf

[hep-ph/0703241]

[hep-ph/0310072]

)03.000.1(

)12.022.1(

)04.021.1(

)25245(

ds

s

ds

s

BB

B

BB

B

BB

B

ff

MeVf

Using RFit errors Using Gaussian errors

CKMfitter

Is there a common origin ?

Leptonic decays

CKMfitter

Summary

Standard Model CKM fitStandard Model CKM fit • (preliminary) summer 2008 results(preliminary) summer 2008 results

• tension between sin(2tension between sin(2) and BR(B) and BR(B))• removing BR(B decreases ²minby 2.9

SM + New Physics fit SM + New Physics fit • (preliminary) update of NP fit in B(preliminary) update of NP fit in Bd,sd,s mesons mixing mesons mixing

• 2.12.1 deviations from SM in B deviations from SM in Bdd mixing (0.9 without B mixing (0.9 without B• something happens with BR(Bsomething happens with BR(B))

- observable fluctuation ?observable fluctuation ?- problem with lattice predictions ?problem with lattice predictions ?- conspiration of all other inputsconspiration of all other inputsnew physics ?new physics ?

• 2.12.1 deviations from SM in B deviations from SM in Bss mixing mixing• the bulk is the direct Tevatron the bulk is the direct Tevatron ss measurement measurement

Hypothesis Hypothesis DeviationΔd= 1 2.1 2.1 σσΔs= 1 2.1 2.1 σσ

Δd= Δs=1 2.9 2.9 σσ

Agreement with SM :Agreement with SM :

Preliminary summer 2008 SM & NP fit results available on :Preliminary summer 2008 SM & NP fit results available on :

061.0025.0

031.0104.0 308.0,214.0,

95% CL interval :

http://ckmfitter.in2p3.fr/plots_Summer2008/

Many thanks to Christian Kaufhold