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….