NEW PHYSICS PHASE FROM CHARGINO YILI WANG IOWA STATE UNIVERITY SUPER B FACTORY WORKSHOP IN HAWAII...

NEW PHYSICS PHASE FROM CHARGINO

YILI WANGIOWA STATE UNIVERITY

SUPER B FACTORY WORKSHOP IN HAWAIIJANUARY 19-22,2004

2Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004

• CP Asymmetry in B system.

• New Phase From Chargino.

• Numerical Results.

• Summary and Conclusion.

Y. Wang, hep-ph/0309290, to be published in PRD.

3

2

2

)1(

2/

)(2/

AiA

A

iA

VVV

VVV

VVV

tbtstd

cbcscd

ubusud

A single phase in CKM matrix

All of CP asymmetries in B system

Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004

In Standard Model:

CP Asymmetries in B System

4

CKM matrix is unitary

0*** tbtdcbcdubud VVVVVV


5

Definition:

tMStMC

KtBKtB

KtBKtBtA

dSdS

S

BKBK

SS

SSK

sincos

00

00

2sin


6

1

Im2,

1

122

2

S

Spq

K

S

SK

K

KS

K

KC

SS

S

SK KBA

KBAS

0

00 BqBpB

qandp are mixing parameters.


7

Two CP Violation Sources:

1p

q

1A

A


(a) Mixing

(b) Decay amplitude

8

B0

B0 B0

Vcb

VtbV*

V*Vtb

J/

J/

KS

KS

td

td

SJ KB In Standard model


Browder@LP03

9

CP comes from mixing in

056.0731.02sin

049.0736.0

033.067.0741.02sin:

028.0057.0733.0)(2sin:

Average

KBBaBar

KBBelle

SJ

SJ

very good agreement with SM.Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004

SM prediction:

SJ KB

10

In SM, No tree level diagrams.

B

K


SKB CP Asymmetries in

11

1

*

*

tstb

tstb

S

SK VV

VV

KA

KAS

Decay Amplitude:

CP comes from mixing.

SJS KBKB 2sin2sin


12

Measurement:

33.015.0

50.096.0)(2sin:

07.043.045.02sin:

09.011.0

Average

KBBelle

KBBaBar

S

S

SKB


~2σ deviation with SM prediction.

Need new physics.


Both SM and New physics are at one loop.

Possible new physics change only

SUSY is significant candidate.SK

S

SKB

SJ KB

SM dominate tree level diagrams.

New physics enter only at one loop level.

14

SUSY in CP Asymmetry

New Phase From Chargino

1. Gluino loop

2. Chargino loop

3. Neutralino loop.

Neutralino loop can be ignored.

SKB


15

aR

ab

sg

RL

RL

LL

LL

LL

LL

GbPTsmg

O

sPsbPsO

sPsbPsO

sPsbPsO

sPsbPsO

bPccPsO

bPccPsO

2

6

5

4

3

2

1

8

Box

Penguin

ignored


ggi

ii OCOCH

6

1

16

Focus on chargino loop contributions

Special Frame:

Down-type squark mass matrix diagonalized.

No down-type intergeneration mixing.


no gluino loop contributions.


Chargino diagrams:

18

• Up squark mass matrix:

22*

22

2

22*

22

2

2

~~0cot00

~~0000

00~000

cot00~~0

000~~0

00000~

~

tct

ctc

u

t

c

u

RRt

RR

R

tLLct

LctL

L

U

mmm

mm

m

mmm

mm

m

m


19

Define:

uR~

222222~

2~

321321

~,~,~,~,~,~~RRRLLLuuu mmmmmmdiagRmR

3~~ iauaiq

aiuaiq RR RL

6,,1a

tcui ,,


diagonalized mass matrix:

Mass eigenstates: Gauge eigenstates:

20

• Chargino Mass Matrix:

cos2

sin2~ 2

W

W

M

MMM

21

~,~~

mmdiagVMU T

VV

VV

UU

UU VU

cossin

sincos

cossin

sincos


21

Mixing angle:

22

2222

,

222

222

222

,

21

21

21

~~2cos2

2cos

~~2sin22cos2

2sin

mm

MM

mm

MMMM

WVU

WVU


22

• Wilson coefficients:

jkuRLRL

j

jkujku

RLRL

j

jkuRLRL

j

jijhujku

RLRLRLRL

j

mmjkb

ujkb

ukj

jksu

jksu

wsSUSY

mmmm

jkbu

jkbu

kj

jksu

jksu

w

mmjkb

ujkb

ukj

jksu

jksu

ws

mmmmmm

jkbu

jkbu

jhsu

jhsu

ihsu

ihsu

kjhi

iksu

iksu

wSUSY

xCHGHGm

C

xCxC

HGHGm

xCHGHGm

xxxG

HGHGHGHGm

C

~,~1**

,

**24

~,~2~,~1

**

,

**2

1

~,~1**

,

**2

~,~~,~~,~

**

,,,

**2

2

3

~2

~9

2

~6

,,

~4


23

jkuRLRL

j

jkujku

RLRL

j

jkuRLRL

j

jijhujkuji

RLLLRL

j

mmjkb

ujkb

ukj

jksu

jksu

wsSUSY

mmmm

jkbu

jkbu

kj

jksu

jksu

w

mmjkb

ujkb

ukj

jksu

jksu

ws

mmmmmmmm

jkbu

jkbu

jhsu

ihsu

kjhi

iksu

iksu

wSUSY

xCHGHGm

C

xCxC

HGHGm

xCHGHGm

xxxGx

HGHHHGm

C

~,~1**

,

**26

~,~2~,~1

**

,

**2

1

~,~1**

,

**2

~,~~,~~,~1~,~

*

,,,

**2

2

5

~2

~9

2

~6

,,

~2


24

sin2,

~

~:

~

~2

~2

*2

*1

2

2

~,~

~,~2*

,

**2

1

~,~1**

,

**2

W

ukiCKMuj

jkiu

kiCKMuj

jkiu

umm

mmb

jkbu

kj

jksu

jksu

mmjkb

ujkb

ukj

jksu

jksu

wSUSYg

M

MVVHVVG

m

mxdifinitionwith

xDm

mHHG

m

xDHGHGm

C

RRLL

j

k

jku

jku

j

RRL

j

jkuRLRL

j


25

• Hadronic matrix:

2

20

06

05

04,3

2

1

2

1

4

1

4

1

11

4

1

C

CsdgS

CdS

dS

CdS

N

NHBOK

NHBOK

HBOK

NHBOK


26

Numerical Results:

Three Scenario:

1. Left-Left Mixing Dominant.

2. Right-Right Mixing Dominant.

3. Left-Left plus Right-Right Mixing.


hep-ph/0309290, to be published in PRD

27

Left-Right and Right-Right mixings are ignored.

L

L

i

i

ue

eR

2323

2323~

cossin

sincos


One phase and one mixing angles

1. Left-Left Mixing:

Parameter space:

LLL mmmm ,,tan,~,~,~,~231232

New Phase

28

Constraints:

S

Sd

dd

XB

asymmetryKJB

mixingBB

Severe bound on mixing



7.07.0 SK

S

01.0,4

5~,5tan 232 LL TeVm

)(~1GeVm)(~

1GeVm

)(~3GeVmL

1212

~100~)(,~10~)( mmbmma

30

• Large deviation from SM prediction.

• large chargino influences.

• special property on

2213

~~~~ mmandmm LL


31

6

01.0

23

L

4

005.0

23

L


)(~1GeVm

)(~1GeVm)(~

1GeVm

3

~Lm

4

01.0

23

L

32

3. Left-Left + Right-Right Mixing

Too many parameters.


RL

RL

RL

mmm

mmm

5623

3

2

~~~

~~~

33

22

Assumption:

33

• Parameter space:

,,tan,~,~,~,~1232 mmmm

2

23

10

~~

~~

21

mm

mm


•Constraints:


7.07.0 SK

S

01.0,4

5~,5tan 232 LL TeVm

)(~1GeVm)(~

1GeVm

)(~3GeVmL

1212

~50~)(,~10~)( mmbmma

35

1232

~~~~ mmandmm RR


202

0

500~100

1000~150

1000~250

2500~300

1

2

3

2

GeVmGeV

GeVmGeV

GeVmGeV

GeVmGeV

R

R

Scan Region:

36

15tan 50tan


)(~2GeVm )(~

2GeVm

KS

37

Conclusion• Chargino loop did give large contribution to

CP asymmetry. It can compensate

the 2.7σ deviation in some region.

• Results depend on parameter choice.

• In general, gluino loop provide large contribution.

• SUSY contributions include chargino and gluino

loop.

SKB


38

SKB

Left-Left mixing :

• Within constraints, large SUSY chargino

contribution to CP asymmetry in

• tan,var 23 andwithiesS LKS


40

2. Right-Right Mixing

• Mixing matrix:

• Parameter space:

• Constraints:

R

R

i

i

ue

eR

5656

5656~

cossin

sincos

RLL mmmm ,,tan,~,~,~,~561232

210R

41

12

12

3

~100~,1.1)(

~10~,1.1)(

01.0,4

300~5tan

23

mmb

mma

GeVm

L

R

42

15tan 50tan )(~

2GeVm )(~

2GeVm


44

Parameters:

,1.1

01.0,4

5~5tan

2

TeVm

46

BCACC

CC

CBABB

BB

CABAA

AA

CzBzAzz

dzzCBAG

1

log

1

log

1

log

1,,

2

22

0

2

Loop function:


47

22.2 mFmfpH B

1.18

92

2

Bm

mO

Many assumptions in κ estimation.


NEW PHYSICS PHASE FROM CHARGINO YILI WANG IOWA STATE UNIVERITY SUPER B FACTORY WORKSHOP IN HAWAII...

Documents

Transcript of NEW PHYSICS PHASE FROM CHARGINO YILI WANG IOWA STATE UNIVERITY SUPER B FACTORY WORKSHOP IN HAWAII...