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Physics Case ofL=1036

e+ e- B Factory

Achille Stocchi

LAL-OrsayUniversité Paris-Sud and IN2P3-CNRS

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Two of such projects exist 1. « SuperBelle in Japan » 2. « SuperB in Italy »

Today it seems thatSuperBelle project converges to the « italian » solution for the machine (« crab waist ») Good new !

Today I defend the physics case for a machine which I call SuperB : very high luminosity L> 1036cm-2 sec-1 With two possible options : possibility of running at different energy thresholds (B -charm..) possibility of having polarized beams.

L= 1036cm-2 sec-1 ∫L= 15ab-1 per year

Today ∫L= 1ab-1 ∫L= 100ab-1

SuperB from now on

(See Christoph Schwanda talk)

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Is a SuperB a discovery machine in LHC era ?

Why >1036 luminosity needed ?

Is SuperB complementary to LHC ?

Would not be LHCb enough to perform flavour studies ?

How to built such a Factory ?

Its is any interest of running at the –charm threshold ?

Few questions I’ll try to answer in this talk

(See Christoph Schwanda talk)

Is it important to have al least one beam polarized ?

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“Relativistic path” “Quantum path”

Crucial : Center-of-mass energy Crucial : Luminosity

SuperB

f

bq

e f

The quantum stabilization of the Electroweak Scale suggest that NP is @ ~ 1 TeV LHC will search on this range

- if NP particles are discovered at LHC we are ableto study the flavour structure of the NPflavour structure of the NP

- we can explore NP scaleNP scale beyond the LHC reach

1034 EW scale ~100GeV1036 TeV scale

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B physics @ Y(4S)

Possible also at LHCb

Similar precision at LHCb

Example of « SuperB specifics » inclusive in addition to exclusive analyses channels with ’smany Ks…

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physics (polarized beams)(polarized beams)

Bs at Y(5S)

Charm at Y(4S) and thresholdand threshold

To be evaluated at LHCb

Bs : Definitively better at LHCb

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SuperB+Lattice improvements

Determination of CKM parameters and New Physics

Today

= ± 0.0028 = ± 0.0024

= 0.163 ± 0.028 = 0.344± 0.016

Improving CKM iscrucial to look for NP

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X

XX- CKM

X

X

X

X The GOLDEN channel for the given scenario

Not the GOLDEN channel for the given scenario,

but can show experimentally measurable deviations from SM.

X- CKM

Let’s consider (reductively) the GOLDEN MATRIX for B physics

X

In the following some examples of

« SuperB specifics » inclusive analyses channels with many Ks…

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Leptonic decay B l

SuperB -75ab-1

MH~1.2-2.5 TeVfor tan~30-60

tan

M(H

+)(

TeV

)

2 ab-1 10 ab-1 75 ab-1

Exclusion regions @ 2 in case of no-signal

Today some >2 discrepancy..

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g

sb b s

~

~ ~

New Physics contribution (2-3 families)

LRd

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New Physcs in bs transitions

1 10

1

10-1

10-2

(TeV)gluinom

In the red regions the are measured with a

significance >3 away from zero

1 TeV

23| |LR

Arg(23)LR=(44.5± 2.6)o

= (0.026 ± 0.005)

23| |LRFlavour-changing NP effects in the squark propagator

NP scale SUSY mass

flavour-violating coupling

B K*l+l: AFB

Lu~

Y.-G. Xu et al., PRD74, 114019 (2006)

50ab-1

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Determination of SUSY mass insertion parameter (13)LL

with 10 ab-1 and 75 ab-1

Importance of having very large sample >75ab-1

75ab-110ab-1

New Physcs in bd transitions

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Br(B K ) – Z penguins and Right-Handed currents

KB

)(,* S

KKKB

~[20-40] ab-1 are needed for observation>>50ab-1 for precise measurement

SM

today

If these quantities are measured @ <~10% deviations from the SM can be observed

Only theo. errors

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107 B

R

(

M 1

/2

SuperB

SO(10) MSSM

LFV from PMNS

LFV from CKM

Lepton Flavour Violation in decays

Masurements and origin of LFV Discrimination between SUSY and LHT

The ratio lll / is not suppressed in LHT by e as in MSSM

MEG sensitivity e ~10-13

Preliminary results < 3 10-11

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LFV analyses :novel additional handle on backgrounds

Polarisation is -an important issue for LFV -opens the possibility of measuring (g-2)-….

anomalous moment (g-2)

NP effects~ 10-6

Polarized beams Polarized beam is(SuperB specific)

The anomalous tau momentum influence both the angular distribution and the polarization.

Measure the Re(F2) and Im(F2) of the (g-2) from factor

<

Under

stud

y

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Charm physics at threshold

D decay form factor and decay constant @ 1% Dalitz structure useful for measurement

0.3 ab-1

Rare decays FCNC down to 10-8

Consider that running 2 month at threshold we will collect 500 times the stat. of CLEO-C

~1%, exclusive Vub ~ few % syst. error on from Dalitz Model <1o

D mixing

CP Violation in mixing could now addressed

Strong dynamics and CKM measurements

Charm physics using the charm produced at (4S)

Charm Physics

Better studied usingthe high statistics collected at (4S)

@threshold(4GeV)

@th

resh

old(

4GeV

)Running at charm threshold

(SuperB specific)

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CP Violation in charmNOW

SuperB

)10(~2

~ 352

OA

CPV in D system

negligible in SM

CPV in D sector is a clear indication of New Physics !

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SuperB 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

… and do not forget… SuperB could also a Super-Super -charm factory, If we run at threshold.

if NP is not (or “partially”) seen at TeV, SuperB is the way of exploring NP scales of several TeV (in some scenario several (>10 )TeV..)

SuperB Discovery Potential and Complementary to LHC

Unprecented precision

Unique opportunity of LFV measurements, better if beam polarized.

L= 1036cm-2 sec-1 15ab-1 per year

We need at least 75 ab-1 L= 1036cm-2 sec-1 is the baseline option

That’s is the factory we need !

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Backup Material

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The problem of particle physics today is : where is the NP scale ~ 0.5, 1…1016 TeV

The quantum stabilization of the Electroweak Scalesuggest that ~ 1 TeV LHC will search on this range

What happens if the NP scale is at 2-3..10 TeV…naturalness is not at loss yet…

Flavour Physics explore also this range

We want to perform flavour measurements such that : - if NP particles are discovered at LHC we able

study the flavour structure of the NPflavour structure of the NP - we can explore NP scaleNP scale beyond the LHC reach

1034 luminosity to have measurable effects (anyhow) if NP particle with masses at the EW scale

1036 luminosity to have measurable effects (anyhow) if NP particle with masses at the TeV scale

“Quantum path”

f

bq

e f

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3 Chapters : Physics Case Detector Machine

444 pages 320 signers~80 institutions

Super Flavour Factory

> 1036cm-2 sec-1 >15ab-1 per year (today ~1034cm-2 sec-1 Babar~400fb-1 Belle~700fb-1 )

Background machine ~ to the present one

Possibility of running at lower (-charm) and higher energy (Bs)

Special specific meeting to answer the IRC questions on physics

and sharpen the physics case

49 signers~24 institutions

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24 eff ccsS S

bs p

en

gu

in p

roce

sses b

d

5 discovery possible(extrapolating from today)

Many channels can be measured with S~(0.01-0.04)

d d

sbW

B0d

t s

s

K0

g

sb b s

~

~ ~

LRd

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SuperB

(*) theoretical limited

Another example of sensitivity to NP : sin2 from “s Penguins”…

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more..

and combination

exclusion plots in [ M(H+), tan

tan tan

tan tan

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• LHC is not competitive (Re: both GPDs and LHCb).

• SuperB sensitivity ~10 – 50 better than NP allowed branching fractions.

SuperB Sensitivity(75ab-1)

BRe beam polarization Lower Background LHC(b)

SuperB

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MFV : Snowmass points on

SuperB with 75 ab-1, evaluation assuming the most conservative scenario about syst. errors

LFV

1÷2

5 disc

LFV from PMNS

LFV from CKMLetpon MFV GUT models

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Tau g-2

Start with the expt. with

<1

Make use of all the informations (total x-section,angular distribution, f-b asymmetry. Measure Re and Im parts

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Spectroscopy

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SPS4 ruled out by present values of s.

SPS1a is the least favorable for

flavour, but SuperB and only SuperB

can observe 2 deviations in several

observables

MFV : SNOWMASS points

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