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MSSMPrecision tests of the flavours in the SM
Model Indep. Analysis in B=2
MFV, mainly high tan scenarios
Achille Stocchi (LAL-IN2P3/CNRS)
Marco has shown why it is important to studythe flavour and why we need precisions
to test NP scale and measure NP couplings
Pantaleo has shown that we can construct an e+ e- aymmetric collider with a luminosityof 1036cm-2 sec-1 ~15 ab-1/per year a low
background in the interaction region a Super Flavour Factory (SFF)
I want to convince that such SFF is what we need for the purpose of studying NP in the flavour sector.
we are writing a Conceptual Design Report (CDR)
B factories has shown that a variety of measurements can be performed in the clean environment.
By doing the work of extrapolating the existing measurements and the ones which will be possible with more statistics we observe that :
- Several measurements are statistically limited and so it is worthwhile to collect >50ab-1
- The systematics errors are very rarely irreducible and can almost on all cases be controled with control samples.
On top of it detector improvements can be crucial for some analysis. Not yet included in the extrapolations
Just one example
B
D
Dprim.
sec
ter.
B events continuum events
Thanks to better vertex resolution we can distinguish on vertex requirements
B vs continuum events ( ~factor 5 background rejection)
We concentrate on some topics
1) superb measurements related to tree level/ ~tree level (some depending upon LCQD caluclations )
(DK), Vub /Vcb
2) superb measurements very sensitive to NP Physics sin(2) (Peng.)
AFB (Xsl+l-), AFB (K*),
ACP (K*) and mainly in
inclusive modes
BK(*), LFV
3) several quantities depending upon LCQD calculations If Lattice QCD Calculations improve as the related experimental quantities, these measurements will be extremely powerfull
Br(B (,)
Br(B l), Br(BD)
6) Specific run at the U(5S)
4) <1% UT Fits for New Physics search (all the measurements mentioned before + others..)
5) charm measurements
ang les
rare
decays
~ 1o
with Penguins < 1o
CP asymetries in radiative decays exclusive and inclusive at a fraction of 1%
Bat 4%
CP and FB asymetries in sll decays exclusive and inclusive at few per cent
~ (1-2)o
2 – 3%4 - 5%5.5 - 6.5%11%
3 – 4%--------13%
0.5%(5% on 1-)
1.2%(13% on 1-)
2%(21% on 1-)
4%(40% on 1-)
B → D/D*lν
0.5 – 0.8 %(3-4% on ξ-1)
1.5 - 2 %(9-12% on ξ-1)
3%(18% on ξ-1)
5%(26% on ξ-1)
ξ
1 – 1.5%3 - 4%4 - 5%13%
1 – 1.5%2.5 - 4.0%3.5 - 4.5%14%fB
1%3%5%11%
0.1%(2.4% on 1-f+)
0.4%(10% on 1-f+)
0.7%(17% on 1-f+)
0.9%(22% on 1-f+)
1-10 PFlop Year
60 TFlop Year
6 TFlop Year
Current lattice error
Hadronic matrix
element
KB̂
Kπ+f (0)
1/2Bs Bsf B
Bπ+f ,...
B K*/ρ1T
Estimates of error for 2015
simulations are performed using Vittorio Lubicz numbers (we should incorporate the Damir criticisms)
Flavour tests on the SM
= 0.163 ± 0.028 = 0.344± 0.016
= ± 0.0028 = ± 0.0024
about 10 times better (not all measurements yet included…)
Model Indep. Analysis in B=2
C = 1.24 ± 0.43 = (-3.0 ± 2.0)o
C = ± 0.031 = (± 0.5)o
2 2 2
2
d
NP
q
SMi B B
SMB
CQ Q
eQ
Now it is possible to related the precision on C and to a NP scale in the following way :.
r upper limit of the relative contribution of NP bd NP physics coupling eff NP scale (masses of new particles)
*
2
2
NPtb tqB
SM
bq
B Weff
V VQ
Q Mr r
If couplings ~ 1 Minimal Flavour Violation
(couplings small as CKM elements)
all possible intermediate possibilitiesbq ~ 1
bs ~1 bq ~ 0.1
bs ~0.1
eff ~ 1/r TeVeff ~ 0.2/r TeV eff ~ 0.08/r TeV
eff ~ 10/rr TeV*
' 'q d tq tdV V
eff ~ 2/r TeV
worst case
r = 20% eff ~ 180 GeV
r = 10% eff ~ 250 GeV
r = 1% eff ~ 1 TeV
today
2008
SuperB
Re (d13)LLvs Im (d
13)LL
with present disagreement
Constraint from md Constraint from sin2cos2
Constraint from sin2 All constraints
Re (d13)LLvs Im (d
13)LL
superB if disagreement disapper.
iAd j
Bd dijδ
AB
SM
Due to the actual disagreement betweenVub and sin2b we see a slight hint of new physics
NP at high significance !
NP scale at 350 GeV
= 350 GeV
SuperB will probe up to >100 TeV for arbitrary flavour structure!
Let’s be more quantitative
How to read this table, two examples.
At the SuperB we can set a limit on the coupling at
2
350~ 20
1.8 10
GeVTeV
The natural coupling would be 1
we can test scale up to
21.8 10350
qm
GeV
( )LL LL RR
( ~ )LL LL RR3
350~ 270
1.3 10
GeVTeVwe can test scale up to
Run at the U(5S)
No Time dependent possible.s, ASL
Bs (LHCB will do it)exotica ( Bs )
It is clear that a short run (few ab-1) is extremely interesting, but we arrive after LHCb
Charm physics
D decay form factor and decay constant @ 1% Need of running at charm thresholdDalitz structure useful for measurement Need of running at charm threshold
0.3-0.5 ab-1
CP asymmetries / Rare decays / D mixing for NP search quite difficult.
Consider that running SFF 2 months at threshold we will collect 1000 times the stat. of CLEO-C
physics see Marco talk
SFF can perform many measurements at <1% level of precision
Precision on CKM parameters will be improved by more than a factor 10
NP will be studied (measuring the couplings) if discovered at LHC (in the worst scenario of MFV up to about 1TeV)
if NP is not seen at the TeV by LHC, SFF is the way of exploring NP scales of the several TeV (in some scenario hundrends TeV..)
Summary
… and do not forget… SFF can be a Super -charm factory, a Bs factory….