Physics Case of L=10 36 e + e - B Factory

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Physics Case of L=10 36 e + e - B Factory. Achille Stocchi LAL-Orsay Universit é Paris-Sud and IN2P3-CNRS. Two of such projects exist 1. « SuperBelle in Japan » 2. « SuperB in Italy ». (See Christoph Schwanda talk). Today it seems that

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Physics Case of

L=1036

e+ e- B Factory

Achille Stocchi

LAL-Orsay

Université Paris-Sud and IN2P3-CNRS

Two of such projects exist

1. « SuperBelle in Japan »

2. « SuperB in Italy »

(See Christoph Schwanda talk)

Today it seems that

SuperBelle project converges to the « italian » solution for the machine (« crab waist »)

Good new !

 SuperB from now on

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 t-charm..)

 possibility of having polarized beams.

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

Today ∫L= 1ab-1  ∫L= 100ab-1

Few questions I’ll try to answer in this talk

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 ?

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

Is it important to have al least one beam polarized ?

(See Christoph Schwanda talk)

How to built such a Factory ?

“Quantum path”

“Relativistic path”

Crucial : Center-of-mass energy

Crucial : Luminosity

SuperB

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 able

to study the flavour structure of the NP

- we can explore NP scale beyond the LHC reach

1034 EW scale ~100GeV

1036 TeV scale

B physics @ Y(4S)

Possible also at LHCb

Similar precision at LHCb

Example of « SuperB specifics »

inclusive in addition to exclusive analyses

channels with p0, g’s, n, many Ks…

Charm at Y(4S) and threshold

t physics (polarized beams)

To be evaluated

at LHCb

Bs at Y(5S)

Bs : Definitively better at LHCb

Determination of CKM parameters and New Physics

Today

SuperB+Lattice improvements

Improving CKM is

crucial to look for NP

r = 0.163 ± 0.028

h = 0.344± 0.016

r = ± 0.0028

h = ± 0.0024

X

X

X- CKM

X

X

X

X- CKM

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

« SuperB specifics »

inclusive analyses

channels with p0, g, n, many Ks…

In the following some examples of

10 ab-1

75 ab-1

2 ab-1

M(H+)(TeV)

tan b

Leptonic decay B  l n

Today some >2s discrepancy..

SuperB -75ab-1

MH~1.2-2.5 TeV

for tanb~30-60

Exclusion regions @ 2s in case of no-signal

New Physcs in bs transitions

B  K*l+l-: AFB

50ab-1

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

1

10-1

10-2

• Flavour-changing NP effects in the squark propagator
• NP scale SUSY mass
• flavour-violating coupling

In the red regions the d

are measured with a

significance >3s away

from zero

= (0.026 ± 0.005)

Arg(d23)LR=(44.5± 2.6)o

New Physics contribution

(2-3 families)

~

g

~

~

s

b

s

b

1 10

1 TeV

New Physcs in bd transitions

10ab-1

75ab-1

Determination of SUSY mass insertion parameter (d13)LL

with 10 ab-1 and 75 ab-1

Importance of having very large sample >75ab-1

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

today

h

SM

Only theo. errors

e

If these quantities are measured @ <~10%

deviations from the SM can be observed

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

Lepton Flavour Violation in t decays

MEG sensitivity meg ~10-13

Preliminary results < 3 10-11

Masurements and origin of LFV

Discrimination between SUSY and LHT

SO(10) MSSM

107 BR (tmg)

LFV from PMNS

SuperB

LFV from CKM

The ratio t lll / t mg is not suppressed in

LHT by ae as in MSSM

M1/2

Polarized beams

Polarized beam is

(SuperB specific)

t anomalous moment (g-2)

LFV analyses :

The anomalous tau momentum influence both

the angular distribution and the t polarization.

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

NP effects

~ 10-6

<

Polarisation is

-an important issue for LFV

-opens the possibility of measuring (g-2)

-….

Under study

Charm Physics

Running at charm threshold

(SuperB specific)

Charm physics using the charm produced at U(4S)

Consider that running 2 month at threshold

we will collect 500 times the stat. of CLEO-C

Charm physics at threshold

0.3 ab-1

Strong dynamics and CKM measurements

@threshold(4GeV)

x~1%,

exclusive Vub ~ few %

syst. error on g from Dalitz Model <1o

D decay form factor and decay constant @ 1%

Dalitz structure useful for g measurement

D mixing

Rare decays FCNC down to 10-8

Better studied using

the high statistics

collected at U(4S)

@threshold(4GeV)

CP Violation in mixing could now addressed

CP Violation in charm

NOW

CPV in D system negligible in SM

SuperB

CPV in D sector is a

clear indication of New Physics !

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 !

Unprecented precision

SuperB can perform many measurements at <1% level of precision

Precision on CKM parameters will be improved by more than a factor 10

… and do not forget… SuperB could also a Super-Supert-charm factory,

If we run at threshold.

Unique opportunity of LFV measurements, better if beam polarized.

SuperB Discovery Potential and Complementary to LHC

NP will be studied (measuring the couplings) if discovered at LHC

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..)

Backup

Material

The problem of particle physics today is :

where is the NP scale L ~ 0.5, 1…1016 TeV

The quantum stabilization of the Electroweak Scale

suggest that L ~ 1 TeV

LHC will search on this range

“Quantum path”

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 NP

- we can explore NP scale beyond the LHC reach

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

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

Special specific meeting

to answer the IRC questions on physics

and sharpen the physics case

49 signers

~24 institutions

SuperFlavourFactory

3 Chapters : Physics Case

Detector

Machine

> 1036cm-2 sec-1  >15ab-1 per year

(today ~1034cm-2 sec-1Babar~400fb-1 Belle~700fb-1 )

Background machine ~ to the present one

320 signers

~80 institutions

444 pages

Possibility of running at lower (t-charm)

and higher energy (Bs)

Another example of sensitivity to NP :

sin2b from “s Penguins”…

W-

s

b

f

t

s

B0d

s

K0

d

d

~

g

 5 discovery possible

(extrapolating from today)

~

~

s

b

s

b

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

bs penguin processes bd

SuperB

(*) theoretical limited

more..

tan b

tan b

tan b

tan b

B  t n and B  m ncombination

exclusion plots in [ M(H+), tan b]

BR

e beam polarization

 Lower Background

SuperB Sensitivity

(75ab-1)

LHC(b)

• LHC is not competitive (Re: both GPDs and LHCb).
• SuperB sensitivity ~10 – 50 better than NP allowed branching fractions.

SuperB

MFV : Snowmass points on t

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

LFV

5s disc

1÷2

LFV from CKM

Letpon MFV

GUT models

LFV from PMNS

<1

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

Tau g-2