a.i. sanda nagoya university nagoya japan fpcp2004 daegu, korea

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A.I. Sanda Nagoya University Nagoya Japan FPCP2004 Daegu, KOREA

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Very impressive It will get even better! ψK S asymmetry KM mechanism is correct description of CP violation at low energies!

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Page 1: A.I. Sanda Nagoya University Nagoya Japan FPCP2004 Daegu, KOREA

A.I. SandaNagoya University

Nagoya Japan

FPCP2004Daegu, KOREA

Page 2: A.I. Sanda Nagoya University Nagoya Japan FPCP2004 Daegu, KOREA

A partial list of things that interested me

Page 3: A.I. Sanda Nagoya University Nagoya Japan FPCP2004 Daegu, KOREA

1

1

sin 2 0.728 0.056 0.023 Bellesin 2 0.722 0.040 0.023 Babar

Very impressiveIt will get even better!

ψKS asymmetry

KM mechanism is correct description of CP violation at low energies!

Page 4: A.I. Sanda Nagoya University Nagoya Japan FPCP2004 Daegu, KOREA

Dramatic sign flip in sin2Φ1 with new VD   at Belle. While ΨKS value for sin2Φ1 is stable with bo

th VD, Monte-Carlo studies supports that there nothing wrong, it is hard for me to understand.  ( I look forward to Hazumi’s talk. I hope we can be convinced.)  

A partial list of things that interested me   p.1

Φ KS asymmetry

Belle( ) ( ) cos sin( ) ( )

t t A Mt S Mtt t

Page 5: A.I. Sanda Nagoya University Nagoya Japan FPCP2004 Daegu, KOREA

Milky   Way

A partial list of things that interested me   p.2

Why are these different?

Very useful for NP searches

As for CPV, my gut feeling is that it must be there!

( 0.13 0.60 0.56)% BelleN N

N N

Same sign dilepton CP asymmetry

Belle+Babar

( ) ( ) 0.113 0.019( ) ( )B K B KB K B K

0 0

0 0( ) ( ) 0.04 0.04( ) ( )B K B KB K B K

B→Kπ CP asymmetries

obviously Belle data must come within the circle

ππ CP asymmetries

pQCD predicted itWith correct sign! Keum, Li, AIS

Babar New!

Page 6: A.I. Sanda Nagoya University Nagoya Japan FPCP2004 Daegu, KOREA

A partial list of things that interested me   p.3

Lyra

Altair

July 7

Page 7: A.I. Sanda Nagoya University Nagoya Japan FPCP2004 Daegu, KOREA

0.170.160.43 0.51 BelleAsym

A partial list of things that interested me   p.4

Good news for isospin analysis

CP violation should be here too!

Looks promising!Ways to unfold 4 fold ambiguities.

0 0 -6

0 0 0.44 0.22 -60.48 0.18

( ) (1.17 0.32 0.10) 10 Babar

( ) (2.32 ) 10 Belle

Br B

Br B

Observation of B→π0 π0

3*

0

+

*+

0

icb us

ub cs

B D K K

B D K K e

V V

V V

Observation of B→DK

Φ3

Page 8: A.I. Sanda Nagoya University Nagoya Japan FPCP2004 Daegu, KOREA

A partial list of things that interested me   p.5

B→VV polarization measurmentsMust for the new physics searches

0 0 0 0

Naive prediction+10% K KC A

*B K

B→π0KS CP asymmetry

Page 9: A.I. Sanda Nagoya University Nagoya Japan FPCP2004 Daegu, KOREA

A partial list of things that interested me   p.6

Indication of things to expect in the future!

Page 10: A.I. Sanda Nagoya University Nagoya Japan FPCP2004 Daegu, KOREA

A partial list of things that interested me   p. 8

Belle

Page 11: A.I. Sanda Nagoya University Nagoya Japan FPCP2004 Daegu, KOREA

A partial list of things that interested me   p. 9

Not just limits. A quest for the discovery!

Page 12: A.I. Sanda Nagoya University Nagoya Japan FPCP2004 Daegu, KOREA

Foreword: kaons again?In spite of a long history the K system is still a laboratory for the flavour physics, an interferometry system, a repository of all kinds of CP violation and can be a sensitive probe for NP.. Then:

YES, kaons again!

Vincenzo Patera*LNF/INFN

1030.189.0 1047.1)(

KBr

A partial list of things that interested me   p.10

He does not need to apologizeIt is a good sign for FP thatK physics continues after 57 years!

Page 13: A.I. Sanda Nagoya University Nagoya Japan FPCP2004 Daegu, KOREA

KL0@E391a:Run I (2004)Expected sensitivity by Run I: 4÷9x10-10

Results from Run I in fall 2004

Requesting Run II in 2005

*11

2

4

3.2

110 10)5.06.2(10Im

166)(1048.1)(

ttt

SML GeVmmKBR

A dream for a theorist, a

nightmare for an experimentalist. All

neutral, 2/3 invisible final state:

“Nothing to nothing”

A partial list of things that interested me   p.11

Page 14: A.I. Sanda Nagoya University Nagoya Japan FPCP2004 Daegu, KOREA
Page 15: A.I. Sanda Nagoya University Nagoya Japan FPCP2004 Daegu, KOREA

( , )

*

*ud ub

ucd cb

V VV V

132

*

*td tb

tcd cb

V VV V

(1,0)

SLAC notationIn honor of Bjorken

Page 16: A.I. Sanda Nagoya University Nagoya Japan FPCP2004 Daegu, KOREA

Fermilab workshop 1988

Page 17: A.I. Sanda Nagoya University Nagoya Japan FPCP2004 Daegu, KOREA

Correct a mistake in the CKM fitter figure

This solution is not allowed by ΨKS asymmetry!

AIS WIN2002, I.I. Bigi and AIS, to appear

Page 18: A.I. Sanda Nagoya University Nagoya Japan FPCP2004 Daegu, KOREA

Notation

0 01

0 02

B p B q B

B p B q B

Mass eigenstates

1 1 11 11 12 12

2 2 11 11 12 12

2 2 2

2 2 2

i i q iM M Mp

i i q iM M Mp

Mass eigenvalues

2 1 12 122Re2

q iM M M Mp

Mass difference

* *2 12 12

12 12

* *12 12

12 12

2

2

2

2

iMqip M

iMqip M

Coefficients 1 2 B B

Page 19: A.I. Sanda Nagoya University Nagoya Japan FPCP2004 Daegu, KOREA

11

1

2*212 12

212 12

i

ii

M M eq ep M M e

112 12iM M e

1 12 22 1 12 122Re 2i iM M M e M e M

1212sin Im ( ) sin 2 Im ( )

iqMt f M t e fp

112 122Resign MM M

This way -π/2< φ1 < π/2

± cancel but we need to know the sign

Page 20: A.I. Sanda Nagoya University Nagoya Japan FPCP2004 Daegu, KOREA

*122sin Im ( ) sin Im ( )

MqMt f Mt fp M

2. Define △M>0 H LM M M

*122sin Im ( ) sin Im ( )MqMt f Mt f

p M

1. Method which cancels △M dependence*122Mq

p M

3. Try to cancel q/p dependence

12sin Im ( ) sin Re Im ( )q q qMt f M t fp p p

Discussions on the marketSign of ΔM cancel but you need to know the sign

ΔM>0, but you need to know the signSign of q/p cancel but you need to know the sign

Page 21: A.I. Sanda Nagoya University Nagoya Japan FPCP2004 Daegu, KOREA

2 2( ) ((1 ) )sign M sign

-++

-

( )sign M

1 2 22 (1 )sin 2

(1 )

-

+

+

-

1sin 2

-++-

+

+ -

- 1sin sin 2M

These are allowed region for ψKS asym>0

Page 22: A.I. Sanda Nagoya University Nagoya Japan FPCP2004 Daegu, KOREA

1 1sin 2 0, cos2 0

1 1sin 2 0, cos2 0

Excluded

.)(27.0.)(72.2)cos(2β 50.079.0 syststat

CL 86.6%at excluded68.0

)β2(sin1)cos(2β 2

Babar

Page 23: A.I. Sanda Nagoya University Nagoya Japan FPCP2004 Daegu, KOREA
Page 24: A.I. Sanda Nagoya University Nagoya Japan FPCP2004 Daegu, KOREA

Lets assume that ΔM contains NP.ε and ΔM   constraints are removed as they may contain effects of new physics

Constraint from ψKS asymmetryassume sin2φis given by exp.

ubV

c

t

u 132

KM parameters are not directly related to ψKS asymmetry

Page 25: A.I. Sanda Nagoya University Nagoya Japan FPCP2004 Daegu, KOREA

u c experimentally known

1Given all others are fixed

12iSMR e

2 ie

2iNPR e

12 212 12 12 2

iSM NP i

SM NPMM M M R e R e

22

iM e

c

t

u 132

12 2 2 i i iSM NPR e R e e

1212 2SM i

SMMM R e

Page 26: A.I. Sanda Nagoya University Nagoya Japan FPCP2004 Daegu, KOREA

12i

SMR e

2 ie2iNPR e

c

t1

2

u

12 2 2 i i iSM NPR e R e e

If Φ1 <0, RNP gets bigger

Page 27: A.I. Sanda Nagoya University Nagoya Japan FPCP2004 Daegu, KOREA

( 0.13 0.60 0.56)%N N

N N

1.0006 0.0030 0.0028qp

Belle hep-ex/0408012

4

4

1

1SL

pqN NA

N N pq

Page 28: A.I. Sanda Nagoya University Nagoya Japan FPCP2004 Daegu, KOREA

12

2

2

2 21

283 (1

Im)SL

c

b

mAM m

*12

c* *

12

In the limit 0,

=

u

ud u

td b

c cb

t

b d

m m

V

M

V

V

V V

V

1

12*

* *2Im Im

td tb

ud ub cd cbSL

V V V VAM V V NP

NP will get in the way ofcancellation

1* *

*2

12

I n the limit 0,

is realtbt

ub cbud c

d

d

c u

V

m

MV

VV

m

VV

Page 29: A.I. Sanda Nagoya University Nagoya Japan FPCP2004 Daegu, KOREA

1)ΨKS asymmetry sinφ

2) Φ 3 determination

230

( ) ( )1 2 cos cos

2 ( )CP CP

CP B B BB D K B D K

R r rB D K

3( ) ( ) 2 sin sin /( ) ( )

CP CPCP B B CP

CP CP

B D K B D KA r RB D K B D K

Four fold ambiguity in Determining φ 3

Page 30: A.I. Sanda Nagoya University Nagoya Japan FPCP2004 Daegu, KOREA

Large φ3 solutionIs almost excluded

4 fold degeneracy

Page 31: A.I. Sanda Nagoya University Nagoya Japan FPCP2004 Daegu, KOREA

*

* ub us

Ttb ts

T V Vr

P V V EW

TP

rP

T P EWP

Leave it to Yoshikawa to talk aboutThe importance of EW penguinsAnd other general analysis

Page 32: A.I. Sanda Nagoya University Nagoya Japan FPCP2004 Daegu, KOREA

2 2

32 2 2 sin sinK K T

CP T

K K

A AA r

A A

2 20 00

32 20 0\

32 sin sin2 sin sinK K T

CP

K

CT

K

CA A

A r rA A

2 200 0000

2 200 0032 sin sinC

CK K

CP

K K

A AA

A Ar

0 0 0( ) ( ) ( ) 0Asym K Asym K Asym K

+- 00

00 CP aymmetry A - A

A +10% CP CP

CP

CP violation in the decay amplitude

( ) ( ) 0.113 0.019( ) ( )B K B KB K B K

Belle+Babar

0 0

0 0( ) ( ) 0.04 0.04( ) ( )B K B KB K B K

See Yoshikawa’s talk for details

A naïve analysisNeglect all r2

terms and annihilation just to illustrate a point

Cancellation?

Page 33: A.I. Sanda Nagoya University Nagoya Japan FPCP2004 Daegu, KOREA

0 0The role of C in B

2

2

2

2

0 0 0

0

0

( ) ( )

( ) (1 )

( ) (1 )

id

i

i

i

w

d

e

ew

P CeT TPC e

T

PA B T eT

A B T

PA B T

T

eT

pi pi data => C/T = 0.70 e^{i 63^o}Substituting the above C/T into the K pi data, we obtain T/P = 0.16 e^{-25^o i}, P^{ew}/P = 0.26 e^{-70 ^o i} So, it is possible to accommodate all data by increasing only C.

See Yoshikawa’s talk for details

Charng and Li

Page 34: A.I. Sanda Nagoya University Nagoya Japan FPCP2004 Daegu, KOREA

ΦKS   asymmetry

2 2

* * *

4

0

tb ts cb cs ub usV V V V V V

( ) ( ) S SK K

* tb tsV V

0B

d

b c

csd

SK

*cb csV V

Standard model predicts equal CP violation for these decay modes

Im( ( ))qp f

Page 35: A.I. Sanda Nagoya University Nagoya Japan FPCP2004 Daegu, KOREA
Page 36: A.I. Sanda Nagoya University Nagoya Japan FPCP2004 Daegu, KOREA

I believe that some new physics effect might be there.

But not at the level of 50%.It is probably at 1% level.

So, precision experiments are needed!

Page 37: A.I. Sanda Nagoya University Nagoya Japan FPCP2004 Daegu, KOREA

Naïve factorizationWe expect |A00 |>> |A-- |>> |A++ |

New physics must show up in B→ ΦK*

asymmetry

f A A

fL should dominate

|f00|>>|f--|>> |f++| 1f

f

Φ

b s

s s

A. Kagan

3 possibilities

BΦ K*0 0 No spin flip

Spin filp of s quark

Spin flip of both s quarks

00LA A

A

ACP + 00LA A

A A A+ A A A-

Page 38: A.I. Sanda Nagoya University Nagoya Japan FPCP2004 Daegu, KOREA

This is a naïve argument! Non factorizable diagrams ect.

Page 39: A.I. Sanda Nagoya University Nagoya Japan FPCP2004 Daegu, KOREA
Page 40: A.I. Sanda Nagoya University Nagoya Japan FPCP2004 Daegu, KOREA

If there is NPit should appear here

Page 41: A.I. Sanda Nagoya University Nagoya Japan FPCP2004 Daegu, KOREA

I am not surprised if so called new physics effects went away! Continued search is absolutely necessary.

Don’t say 1035 , it is not enough! SUPERB with 1043 is strongly

encouraged! Many interesting physics to do for many

years to come! Lets have fun!