nouvelle physique dans le mixing des b d,s et approche frequentiste versus bayesienne
DESCRIPTION
Nouvelle physique dans le mixing des B d,s et approche frequentiste versus Bayesienne. Role of b → ccs transitions. ^. W, ?. b. b. s. +. c. ψ. u, c, t. u, c, t. c. W. B 0 s. B 0 s. B 0 s. s. Φ. s. s. s. b. W , ?. Mixing phase – sensitive to NP. - PowerPoint PPT PresentationTRANSCRIPT
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
|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