MSSM Precision 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 study the 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 luminosity of cm -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 D prim. 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), V ub /V cb  2) superb measurements very sensitive to NP Physics sin(2  ) (Peng.) A FB (X s l + l - ), A FB (K*  ), A CP (K*  ) and mainly in inclusive modes B  K (*), 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(B  D  ) 6) Specific run at the U(5S) 4) <1% UT Fits for New Physics search (all the measurements mentioned before + others..) 5) charm measurements

a n g l e s raredecaysraredecays  ~ 1 o  with Penguins < 1 o CP asymetries in radiative decays exclusive and inclusive at a fraction of 1% B   at 4% CP and FB asymetries in sll decays exclusive and inclusive at few per cent  ~ (1-2) o

2 – 3%4 - 5% %11% 3 – 4% % 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) % (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% % %14%fBfB 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 Estimates of error for 2015 simulations are performed using Vittorio Lubicz numbers (we should incorporate the Damir criticisms)

Flavour tests on the SM  = ±  = 0.344±  = ±  = ± 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 = ±  = (± 0.5) o

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) If couplings ~ 1 Minimal Flavour Violation (couplings small as CKM elements) all possible intermediate possibilities  bq ~ 1  bs ~1  bq ~ 0.1  bs ~0.1  eff ~ 1/  r TeV  eff ~ 0.2/  r TeV  eff ~ 0.08/  r TeV  eff ~ 10/  r r TeV  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 (  d 13 ) LL vs Im (  d 13 ) LL with present disagreement Constraint from  m d Constraint from sin2  cos2  Constraint from sin2  All constraints Re (  d 13 ) LL vs Im (  d 13 ) LL superB if disagreement disapper. SM Due to the actual disagreement betweenV ub 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 The natural coupling would be 1 we can test scale up to

Run at the U(5S) No Time dependent possible.  s, A SL B s   (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 1%  Need of running at charm threshold Dalitz structure useful for  measurement  Need of running at charm threshold 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 B s factory….