Rare B Decays and CP Violation Beyond the Standard Model Prospects - - PowerPoint PPT Presentation

RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 1

Rare B Decays and CP Violation Beyond the Standard Model

February 8, 2007, KEKTC07 @ KEK Frontiers in Particle Physics and Cosmology Frontiers in Particle Physics and Cosmology

— Prospects for New Physics New Physics Effect in b b ↔ ↔ s s —

DCPV/Rare George W.S. Hou (NTU) Beauty 2005 @ Assisi 2

Direct CP and Rare Decays

June 21, 2005 B Physics at Hadronic Machines, Assisi

KEKCT ‘07 Adrian Bevan

• Suppressed by Vub
• Within the SM, this measurement can be used to

constrain fB.

• Can replace W+ with H+
• B can be suppressed or enhanced by a factor of rH

2 2 2 2 2 2

( ) 1 | | 8

F B l l B u l B B b

G m m m B l m f V

• +

+

• =
• SM

B

B+→τ+ν

SM prediction (1.59± 0.40) x 10-4

2HDM: W.S. Hou, PRD 48, 2342 (1993).

, H−

Will not touch tree level ...

KEKCT ‘07 Adrian Bevan

• First AFB measurements from the B-factories are

compatible with SM.

• Ci could be complex BSM: should test this in the

future.

• Also measured FL to be
• compatible with SM

B→K(*)ll

~57 events ~114 events

PRL96 (2006) 251801 PRD73 (2006) 092001

• A. Hovhannisvan et al. hep-ph/0701046

BaBar: 229×106 B pairs Belle: 386×106 B pairs Limit on first q2 at 95% CL. y Hovhannisyan, WSH and Mahajan

RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 5

I A AFB

FB in

in B B → → K K*

*ℓ

ℓ+

+ℓ

ℓ−

− — Probe Complexity w/o CPV

Complex C7, C9, C10 vs MFV; 4th generation as existence proof II Why 4th Generation Revisit? ACP(K+π−) ≠ ACP(K+π0) Z Penguin and Boxes Accounting for

Accounting for Δ

ΔA

A and

and

Δ

ΔS

S (in NLO PQCD)

III Bs Mixing vs

B → Xsℓ+ℓ− — Large CPV in B

Large CPV in Bs

s

Mixing Mixing Large CPV Phase or Nil ΔΓBs related effects IV K/D Aside K/D Aside — Enhanced Enhanced K KL

L

→ → π π0

0νν

νν and D and D0

0 Mixing

Mixing V Conclusion

Outline

and Δ ΔS

S

RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 6

• I. A

AFB

FB in

in B B → → K K*

*ℓ

ℓ+

+ℓ

ℓ

− −

Probe Complexity w/o CPV

RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 7

• M. Iwasaki @ CKM06

+ Box

RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 8

• M. Iwasaki @ CKM06

RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 9

A AFB

FB in

in B B → → K K*

*ℓ

ℓ+

+ℓ

ℓ−

− made easy

made easy

B - K* γ γ – Z interference with MZ brought low ! e+e− → hadrons

RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 10

• M. Iwasaki @ CKM06

C7, C9, C10 taken REAL

Why should they be ?

RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 11 hep-ph/0612156

Theory Theory “ “Guidance Guidance” ”

Why Real?

RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 12

Quark level Quantum Quantum amplitude:

) (

9 9

s Y C C eff + =

• +

+ =

8 , 7 8 8 7 7 7 j j j eff

C C C C

• Real by

convention

No Reason a priori why C7, C9, C10 should be Real

To be Probed BY EXPERIMENT

RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 13

Form factors induce some level of theoretical uncertainty

Use form factors calculated within LCSR – Ball & Zwicky

Forward-backward asymmetry

Form Factor Products

Richer Interference

RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 14

Such an introduction of complexity is beyond MFV and may look very outrageous at first glance, though not impossible, e.g. in generic Z’ models or more than 3 generations Parameterization at weak scale

N.B. Wilson coeffs. becoming complex is already present in SM (not via New Phys corrections)

:

• +
• l

l

• B

tb td ub ud

V V V V

* *

• #

9 9 u

C C

• +

RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 15

Case 1: — SM like

Constrained to 1σ experimental range for exclusive radiative and semi-leptonic rates

a: SM; b: 4 Gen. shaded: rough boundaries (for illustration only )

Due to assumed

equality

10 9

C C

data: LHCb sim. (2 fb−1)

RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 16

a: SM b: 4 gen. d: ruled out e: disfavoured c: ~ SM, even zero, different for large q2

General: Both Zero & Shape Sensitive to NP

KEKCT ‘07 Adrian Bevan

• First AFB measurements from the B-factories are

compatible with SM.

• Ci could be complex BSM: should test this in the

future.

• Also measured FL to be
• compatible with SM

B→K(*)ll

~57 events ~114 events

PRL96 (2006) 251801 PRD73 (2006) 092001

• A. Hovhannisvan et al. hep-ph/0701046

BaBar: 229×106 B pairs Belle: 386×106 B pairs Limit on first q2 at 95% CL.

RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 18

a: SM b: 4 gen. d: ruled out e: disfavoured c: ~ SM, even zero, different for large q2

General: Both Zero & Shape Sensitive to NP

Early LHCb Data Can Tell

data: LHCb sim. (2 fb−1)

RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 19

Why Real WC’s ?

RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 20

SM Pattern — Suppressed FCNC at L.E. !

RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 21

4th Gen. is non-MFV, SM-like

RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 22

• Sf in b → sqq
• AK+π - − AK+π 0 Puzzle

Two Hints

TCPV DCPV

Mixing-dep. Direct

b ↔ s CPV Phenomena Is Current NP Frontier

Will address these

RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 23

Do not consider scalar int.

Study 4th Generation from Now on

RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 24

Ben Grinstein @ CKM06

RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 25

Ben Grinstein @ CKM06

Close !

RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 26

• Nν counting? 4th “neutrino” heavy

Massive neutrinos call for new Physics Massive neutrinos call for new Physics

• Disfavored by EW Precision

EW Precision (see e.g. J. Erler hep-ph/0604035; PDG06

But that But that’ ’s s “ “old

• ld”

” ... ...;

;

Overconstrain Overconstrain ourselves, or look forward to LHC ?

• urselves, or look forward to LHC ?

4th Generation Still?

RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 27

http://www-cdf.fnal.gov/physics/new/top/2005/ljets/tprime/gen6/public.html

CDF Continues to Search

!

Softening of Bound

RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 28

Neubert

RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 29

II Why 4th Generation Revisit? ACP(K+π−) ≠ ACP(K+π0)

Personally ! Personally !

RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 30

3.8σ

2005

RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 31

Sakai

RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 32

...

It was the handiwork of “yours truly” ...

...

2006/11/01

DPF/JPS

Acp (Bhh)

Black 449 MBB Blue 535 MBB Green 535 MBB Time-dep. analysis

Significant DCPV in K+π- and π+π- Acp(K+π-) - Acp(K+π0)  4.4σ

P r e l i m i n a r y

ΔA

RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 34

Smaller than bccs in all 9 modes

Naïve average of all b  s modes

sin2βeff = 0.52 ± 0.05

2.6 2.6

σ

σ deviation btwn b  sqq and b  ccs

2006: φ1 with b  s Penguins

Theory Expect sin 2φ1

> sin 2φ1

s-penguin cc(bar)s

New Physics !? Need More Data !

Δ ΔS

S = Ssqq − Sscc < 0 Problem

Also

HF & BPh -4 George W.S. Hou (NTU) ISSMB06, 9/28/06 35

Why Why ΔA = AK

+π 0 − AK +π − > 0 a

a Puzzle ? zzle ?

?

ΔA ~ 0 expected

−9.3±1.5 % +4.7±2.6 %

HF & BPh -4 George W.S. Hou (NTU) ISSMB06, 9/28/06 36

_ d d π0

K−

u u B− s b

Why Why ΔA = AK

+π 0 − AK +π − > 0 a Puzzle ?

uzzle ?

Large C ? Large EWPenguin ?

Suppress Tree CPV Phase Need NP CPV Phase ∵ T and PEW

≈ same strong phase

?

t, t’

4th Gen. in EWP Natural

ΔA ~ 0 expected

−9.3±1.5 % +4.7±2.6 %

HF & BPh -4 George W.S. Hou (NTU) ISSMB06, 9/28/06 37

My first B paper My first B paper

nondecoupling

HF & BPh -4 George W.S. Hou (NTU) ISSMB06, 9/28/06 38

On Boxes and Z Penguins

GIM, charm, ε K small ε ’K, K → πνν (still waiting) heavy top, sin2φ1/β Z dominance for heavy top

1986 → 2002

K B

HF & BPh -4 George W.S. Hou (NTU) ISSMB06, 9/28/06 39

On Boxes and Z Penguins

GIM, charm, ε K small ε ’K, K → πνν (still waiting) heavy top, sin2φ1/β Z dominance for heavy top

1986 → 2002 nondecoupling

All w/ 3-gen., Just wait if there’s 4th D ! D ! b’, t ’ @ LHC

B Bs

s

RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 40

Accounting for Accounting for Δ

ΔA

AK

Kπ π,

, Δ

ΔS

S

RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 41

SM 3

Effective b → s Hamiltonian and t’ Effect

RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 42

t ➯ t, t ’

t t

} {

] , [ ] , [ ) , ( M

) , ( ) , ( 2 ) ( ) , ( ) ( 2

2 2 12

2

! ! ! !

! !

t t S t t S ë t t S ë ë ë

t t S t t S t t S B f

t t c c B B

s s

+

• +

+

• GIM Respecting

RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 43

Box/EWP Sensitivity to 4th Gen. Box/EWP Sensitivity to 4th Gen.

nondecoupling

) , ( 2 ) ( ) , ( ) ( ) , (

, ,

) 2 ( ) 1 (

! ! ! !

t t S t t S t t S

t t S S t t S S

• +
• =
• =
• QCD penguin

EW penguin

(No New Operators)

γ, γ, g less sensitive g less sensitive

RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 44

WSH, Nagashima, Soddu, PRL’05

ACP(K+π−) ~ −0.12, ACP(K+π0 ) ~ +0.04 ? ☞ ACP(K+π−) almost independent of t’ ☞ ACP(Kπ0) − ACP(Kπ) > 0.1 demands

• φsb ~ +π/2
• Large mt’ and rsb

Large Effect

∼ 0.04

LO PQCD

RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 45

_ d d π0

K−

u u B− s b

t, t’

LO PQCD ⊕ 4th Gen.

ΔA ≈ 12% vs 14% (data)

NLO PQCD ⊕ 4th Gen.

ΔA ≈ 15% ΔS ≈ −0.11

SM3 input

vs −0.34±0.2x (data)

WSH, Li, Mishima, Nagashima, hep-ph/0611107

ΔA = AK

+π 0 − AK +π − ~ 14%

Joining C & PEW

Both and in Right Direction !

ΔA ΔS

RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 46

Opposie Sign

RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 47

• III. Prediction: Large CPV in B

Prediction: Large CPV in Bs

s Mixing

Mixing

WSH, Nagashima, Soddu, hep-ph/0610385

RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 48

and Prospects Just Around Corner! (SM3-like) ~ −0.2 to −0.7 ! Defintely BSM if measured ! Phase

WSH, Nagashima, Soddu, PRL’05

RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 49

• Fixed rsb ➯ Narrow φsb Range

destructive destructive with top

‧ For rsb ~ 0.02 – 0.03, [Vcb ~ 0.04 φsb Range ~ 60 ° - 70 ° Finite CPV

CPV Phase

Consistent w/ B(b→sll)

SM-like !

Large CPV Possible !

Despite ΔmBs, B(b→sll) SM-like

03 . 02 . 01 .

CDF 2σ range

SM

01 . 02 . 03 .

HFAG 1σ range

rsb

RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 50

sin2ΦBs ~ −0.4 - −0.7

Despite ΔmBs, B(b→sll) SM-like

03 . 02 . 01 .

CDF 2σ range

SM

01 . 02 . 03 .

rsb

• Fixed rsb ➯ Narrow φsb Range

destructive destructive with top

‧ For rsb ~ 0.02 – 0.03, [Vcb ~ 0.04 φsb Range ~ 60 ° - 70 ° Finite CPV

CPV Phase

Bs Mixing Measured @ Tevatron in 4/2006 Can Large CPV in Bs Mixing Be Measured @ Tevatron ?

Sure thing by LHCb ca. 2008

?

Large CPV in B Large CPV in Bs

s Mixing

Mixing

RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 51

Sign Predicted ! sin2ΦBs ~ −0.4 - −0.7

Despite ΔmBs, B(b→sll) SM-like

03 . 02 . 01 .

CDF 2σ range

SM

01 . 02 . 03 .

rsb

Can Large CPV in Bs Mixing Be Measured @ Tevatron ?

Sure thing by LHCb ca. 2008

?

Δ

A

Kπ, Δ

S

WSH, Nagashima, Soddu, PRL’05

Large CPV in B Large CPV in Bs

s Mixing

Mixing

RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 52

ΔΓBs related effects

...

RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 53

• IV. Prediction: Enhanced

Enhanced K KL

L

→

→

π

π0

0νν

νν and D and D0

0 Mixing

Mixing

RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 54

tb tsV

V

• b

t s t V

V

• cb

csV

V

• ub

usV

V

• “Typical” CKM Matrix

b → s

Digression 4 x 4 Unitarity ➯ Z/K Constraints

• tb

tdV

V

• b

t d t V

V

• cb

cdV

V

• ub

udV

V

x ~ 0.22

b → d

Satisfy b → d: ✓ Cannot tell triangle from quadrangle

WSH, Nagashima, Soddu, PRD’05

s ← b

Z → bb

_

d ← s

RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 55

enhanced to or even higher !! In general larger than !!

Prediction for

Rate could be enhanced up to almost two orders !!

Grossman-Nir

Current E391A U.L.

Very hard to measure

SM 3

∵ Large CPV Phase

RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 56

(Too)

Large/Imaginary

“Typical” CKM Matrix

4 x 4 Unitarity ➯ Z/K/D Connections

= + + +

• cb'

ub' cb ub cs us cd ud

V V V V V V V V

−0.218 +0.215 +0.0033 e e −

−i i

5

5° °

SM LD NP SD

Data Driven

RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 57

db

i b t d t

db

V V

• !

"

• cb'

ub'V

V

PDG06 mb’ =

230 GeV 270 310

From 4 x 4 Unitarity x = Δm/Γ ~ 1 - 3 plausible w/ Sizable (but not huge) CPV in Mixing ~ −15%

Short-distance Only

N.B. SM LD could generate y ~ 1, x ≈ y

[Falk, Grossman, Ligeti, (Nir,) Petrov]

RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 58

Data (PDG06)

• Hint for D mixing
• No evidence for CPV

Need more data ! Promising ! Real interest is x (probe New Physics)

RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 59

I A AFB

FB in

in B B → → K K*

*ℓ

ℓ+

+ℓ

ℓ−

− — Probe Complexity w/o CPV

Complex C7, C9, C10 vs MFV; 4th generation as existence proof II Why 4th Generation Revisit? ACP(K+π−) ≠ ACP(K+π0) Z Penguin and Boxes Accounting for

Accounting for Δ

ΔA

A and

and

Δ

ΔS

S (in NLO PQCD)

III Bs Mixing vs

B → Xsℓ+ℓ− — Large CPV in B

Large CPV in Bs

s

Mixing Mixing Large CPV Phase or Nil ΔΓBs related effects IV K/D Aside K/D Aside — Enhanced Enhanced K KL

L

→ → π π0

0νν

νν and D and D0

0 Mixing

Mixing V Conclusion

Conclusion

and Δ ΔS

S P r

• s

p e c t s f

• r

N e w P h y s i c s N e w P h y s i c s E f f e c t i n b b ↔ ↔ s s G

• d

! G

• d

!

RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 60

Jeremy Dickens

B Bd

d

→ → K K*

*µµ

µµ: FBA sensitivity : FBA sensitivity

• Generator zero-crossing point:

s0 = 4.10 GeV2

• From 1000 experiments of 2 fb-1:
• No background

s0 = 4.17 ± 0.38 GeV2

• With background

s0 = 4.11 ± 0.52 GeV2

• With 10 fb-1

(with background)

s0 = 4.17 ± 0.28 GeV2

Fitted zero-point (GeV2) With 10 fb-1 Example 2 fb-1 experiment Mµµ

2 (GeV2)

@ CKM06

RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 62

RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 63

Consistency and b → sγ Predictions

BR OK ACP ~ 0 far away

beyond SuperB PDG ’06

SM3 SM3

Heavy t’ effect decoupled for b → sγ

RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 64

AK

0π + − AK 0π 0 ≈ 14%

−0.02±0.04 + +0.02±0.13 HFAG

K0π Predictions

Not in good agreement — Await further test

Rc ≲ Rn ≈ 1.08

R ≈ 0.94

(+0.11 ± 0.18 ± 0.08) Belle

ICHEP06: ~ 0 ~ −0.12

✓ ✓

2006/11/01

DPF/JPS

New Electroweak Penguins in the Ratios Rn and Rc

SM Old WA Data New Belle Data w/414 fb-1

q: measures the importance of the EW penguins with respect to the tree-diagram-like topologies φ: CP-violating weak phase

Buras, Fleischer et al, APO B36(2005)2015-2050 NLO PQCD ⊕ 4th Gen.

RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 66

4 x 4 Unitarity ➯ Constraints

We need to deal with mixing matrix in detail to keep Unitarity

From b → s study SM3

Kaon b → s b → d impose Cross Check !

RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 67

Constrain s ↔ d from K Physics

(J. Bijnens et al.) (E. Pallante et al.)

Therefore…. well-satisfy !

“Standard” No SM3 solution

(shaded)

RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 68

well-satisfy

Hard to tell apart (non-trivial) with present precision

∵ stringent s → d

vs Vub ~ 0.01 e-iγ

Disfavored