Pr

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4
Extraction
of the
Unitarity triangle parameters
Search for New Physics
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How measurements constraint UT parameters
g
a
the angles..
sin(2b)
Dms
Dmd
Vub/Vcb
the sides...
CP asymmetries in charmless
B?tn
B?K(r)g

Rare decays... sensitive to NP
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An example on how to fit the UT parameters and
fit new physics
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From Childhood
In 2000 the first fundamental test of agreement
between direct and indirect sin2b
To precision era
WE HAVE TO GO ON
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Crucial Test of the SM in the quarks sector
(historical..)
DONE!!
determination of CP violating parameters
measuring CP-conserving observables
CP-violating observables
was/is the strong motivation of the
B-Factories
B ? J/y K0
sin2b 0.726 0.037
Coherent picture of CP Violation in SM
from sides-only
We are probably beyond the era of  alternatives
to the CKM picture. NP should appear as
corrections to the CKM picture
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TODAY SITUATION
Total Fit
Dmd,Dms,Vub,Vcb,ek cos2b b a g 2bg
h 0.340 0.017
r 0.164 0.029
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Comparison measurements with angles wrt with
sides
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SM Fit
No disagreement for g et Dms
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Some discrepencies observed between Vub and sin2b
sin2b0.6750.026 From direct measurement
We should keep an eyes on these kinds of
disagreements. Could be NP
sin2b 0.764 0.039 from indirect
determination (all included by sin2b)
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We want to perform flavour measurements such that
- if NP particles are discovered at LHC we
able study the flavour structure of the NP -
we can explore NP scale beyond the LHC reach
If there is NP at scale L, it will generate new
operator of dimension D with coefficents
proportional to L4-D
You could demonstrate that only operator of D6
contribute So that in fact you have a dependence
on 1/ L2
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(MFV), no new sources of flavour and CP
violation NP contributions governed by SM Yukawa
couplings.
To help with a more specific example
Example for B oscillations (FCNC-DB2)
dbd
pr upper limit of the relative contribution
of NP dbd NP physics coupling Leff NP
scale (masses of new particles)
Minimal Flavour Violation
If couplings 1
all possible intermediate possibilities
dbq 1
Leff 10/?pr TeV
(couplings small as CKM elements)
dbs 1
Leff 2/?pr TeV
dbq 0.1
Leff 1/?pr TeV
Leff 0.08/?pr TeV
Leff 0.2/?pr TeV
dbs 0.1
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NP physics could be always arround the corner
WHAT IS REALLY STRANGE IS THAT WE DID NOT SEE
ANYTHING.
With masses of New Particles at few hundred
GeV effects on measurable quantities should be
important
Problem known as the FLAVOUR PROBLEM
Leff lt 1TeV flavour-mixing
protected by additional
symmetries (as MFV)
Couplings can be still large if Leff
gt 1..10..TeV
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Fit in a NP model independent approach
DF2
Parametrizing NP physics in DF2 processes
r , h Cd jd Cs js CeK
g (DK) X
Vub/Vcb X
Dmd X X
ACP (J/Y K) X X
ASL X X
a (rr,rp,pp) X X
ACH X X X X
DGs/Gs X X
Dms X
eK X X
In future In future In future In future In future In future In future
ACP (J/Y f) X X
ASL(Bs) X X
g (DsK) X
Tree processes
5 new free parameters Cs,js Bs mixing
Cd,jd Bd mixing CeK K mixing
1?3 family
Constraints
2?3 family
Today fit possible with 10
contraints and 7 free parameters (r, h,
Cd,jd ,Cs,js, CeK)
1?2 familiy
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fBd (-3.0 2.0)o
CBd 1.24 0.43
ANP/ASM vs fNP
With present data ANP/ASM0 _at_ 2s
ANP/ASM 1 only if fNP0 ANP/ASM 0-40 _at_95
prob.
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Complementarity LHC/precise measurments
today
r 20 ? Leff 180 GeV
tomorrow
Leff 0.08/?r TeV
r 10 ? Leff 250 GeV
after tomorrow
electroweak scale
r 1 ? Leff 800 GeV
You need to improve 20 times your precision if
you want to span the region from the EW scale to
the TeV scale.
As could be obtained at a superB 100 times
present B-factory luminosity
NP scale 200GeV with MFV couplings
NP800 GeV
This is really the most costly way of reaching
high NP scale.
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Adjusting the central values so that they are
all compatible
Keeping the central values as measured today with
errors at the SuperB
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Higgs-mediated NP in MFV at large tanb
Similar formula in MSSM.
Excl. 2s
B?ln
MH (TeV)
tanb
2ab-1 MH0.4-0.8 TeV for tanb30-60
SuperB MH1.2-2.5 TeV for tanb30-60
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Constraints on b -gt s transitions

g


s
b
b
s
New Physics contribution (2-3 families)
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Example on how precise measurements could allow o
explore NP scale beyond the TeV scale

g
MSSM


New Physics contribution (2-3 families)
s
b
b
s
1 10-1 10-2
In the red regions the d are measured with a
significance gt3s away from zero
1 10
ACP(b?sg)
With the today precision we do not have 3s
exclusion for any set of parameters
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APPENDIX Part IV 1) More details on MFV
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Very tiny space for see effects beyond the SM
Starting point for studies of rare decays see for
instance Bobeth et al. hep-ph/0505110
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RARE DECAYS in the framework of MFV
Upper limits
Branching fractions MFV(95) SM (95) exp
Br(K?pnn) ?1011 lt11.9 6.1-10.9 14.713.0-8.9
Br(KL?p0nn) ?1011 lt4.59 2.03-4.26 lt5.9 ? 104
Br(KL?mm) ? 109 lt1.36 0.63-1.15
Br(B?Xsnn) ? 105 lt5.17 3.25-4.09 lt64
Br(B?Xdnn) ? 106 lt2.17 1.12-1.91
Br(Bs?mm) ? 109 lt7.42 1.91-5.91 lt2.7 ? 102
Br(Bd?mm) ? 1010 lt2.20 0.47-1.81 lt1.5 ? 103
K physics
B physics
Very interesting the AFB asymmetry of B?Kll
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MFV
In models with one Higgs doublet or low/moderate
tanb (DAmbrosio 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 _at_95
Prob.
To be compared with tested scale using for
instance b-gtsg (9-12Tev) DAmbrosio et al.
hep-ph/0207036
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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
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Two crucial questions
Can NP be flavour blind ?
No NP couples to SM which violates flavour
Can we define a worst case scenario
Yes the class of model with Minimal Flavour
Violation (MFV), namely no new sources of
flavour and CP violation and so NP
contributions governed by SM Yukawa couplings.
Today L(MFV) gt 2.3L0 _at_95C.L. NP masses gt200GeV
SuperB L(MFV) gt6L0 _at_95C.L. NP masses gt600GeV
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In Bs sector we are not yet at the same level of
precision as in Bd sector