1

Heavy Quark Phenomenology

August 17, 2003 ICHEP2004, Beijing

BB →→ KKSS CPCP/K* PolarizationPolarization/Collider Implications

August 17, ICHEP2004 George W.S. Hou (NTU) 2

Outline Comment on BNV in Decay Intro: HQ & NP b s Phenomena is Current Frontier for NP Light and KKSS CPVCPV: PRL HighlightsModel Upshot / PV,PP Numerics / KSCPV / BS

K* PolarizationPolarization: Heuristic/Drastic Model

SM; NP — CPV, TV Collider Search for Light : Tevatron! Conclusion Based on WSH, M. Nagashima, A. Soddu, hep-ph/0404002 C.K. Chua, WSH, M. Nagashima, PRL92, 201803 (2004) WSH and M. Nagashima, hep-ph/0408007 K. Cheung and WSH, hep-ph/0404041 (to appear PRD)

August 17, ICHEP2004 George W.S. Hou (NTU) 3

Comment on B#V in Decay

ARGUS 1992CLEO 1999 ? 2004?

Marciano, Nucl.Phys.Proc.Suppl. ’95 Contrary to our hep-ph

Likewise for + +

August 17, ICHEP2004 George W.S. Hou (NTU) 4

I. Introduction: HQ & NPb s Phenomena is Current Frontier for NP

• CP Phase sin2Bd 0.73 Agree with CKM Fit but B K/ Modes ?• Is sin2Bd Ks Opposite Sign to sin2Bd !? Other b s Penguins ? K*

Polarization ?Polarization ?

• EWP: Could NP emerge in b s ℓ +ℓ − ? • mBs “Just Around the Corner ” but if sin2Bs ≠ 0 NP• b s L ? Wrong Helicity Component? Test via B0 KS Mixing-dep CPV (KS tagging) ≠ 0 NP or Bs [or Polarization]

August 17, ICHEP2004 George W.S. Hou (NTU) 5

II. Light and KKSS CPVCPVPRL Highlights

NP CPV phase ~ 60 60°° - 70 - 70°°

~ 200 GeV~ 500 GeV ColliderDirect Search (IV)

Flavor FactoryFlavor Factorybut need to disentangle hadronic effect

Two Particle System

Clean Modes

Model Upshot

August 17, ICHEP2004 George W.S. Hou (NTU) 6

If SKs < 0

• LargeLarge Effective s-b Mixing• NewNew CPV Phase• Right-handedRight-handed Interaction

Large,Large, NewNew Physics,Physics, b → s CPV Effect

[to get sin 21eff (KS0) ~ sin 21]

[Belle/BaBar Update ...]

Model: a Light Strange-beauty SquarkLargeLarge Eff. s-b Mixing

1 NewNew CPV Phase

Independently Motivated

August 17, ICHEP2004 George W.S. Hou (NTU) 7

1??

?~ˆ ,1??

?~ˆ 22

334

24

357

b

dd

t

uu m

MMmMM

11

~ˆ ,1

~ˆ 223

334

24

246

357

b

dd

t

uu m

MMmMM

jjiijiij MMMM

Mass/Mixing Hierarchy & R.H. FlavorR.H. Flavor Sector

Motivation: Abelian Flavor Symmetry• Nir-Seiberg, PLB’93; Leurer-Nir-Seiberg, NPB’94

Commuting Charges

massVCKM

no r.h. force

AnsatzAnsatz jjiijiij MMMM

August 17, ICHEP2004 George W.S. Hou (NTU) 8

11

~ˆ ,1

~ˆ 223

334

24

246

357

b

dd

t

uu m

MMmMM

Mass/Mixing Hierarchy & R.H. FlavorR.H. Flavor Sector

Motivation: Abelian Flavor Symmetry• Nir-Seiberg, PLB’93; Leurer-Nir-Seiberg, NPB’94• Chua-WSH, PRL’01: Because of FCNC, Need 4 Texture Zeros (decouple s flavor) Arhrib-Chua-WSH ’01: Decouple d flavor

Commuting Charges

AnsatzAnsatz jjiijiij MMMM

110

000

~ˆ ,1

~ˆ 22

4

24

246

357

b

dd

t

uu m

MMmMM

Mixing Mixing ? MaximalNear RR bs

Alternative Picture:Alternative Picture: Chang,Masiero,MurayamaGUT

Focus: s-s-bb

no r.h. force

Prominentr.-h. elements

August 17, ICHEP2004 George W.S. Hou (NTU) 9

Focus onFocus on200 GeV200 GeV

110110001

~ ~ 22

mM RRq

Level Splitting by Large Mixing Drive One State Light

1 CP Phase

strange-beauty squarkstrange-beauty squark

August 17, ICHEP2004 George W.S. Hou (NTU) 10

A Little Note on Formalism …

• Besides O1,2 Tree O3-6 Strong Penguin O7-10 EM/EW Penguin also O11,12 /g Dipole

iO Coupling handed-Right

Basis Massin calculated , tsCoefficien ii cc

Matrix Elements evaluated via Naïve Factorization

August 17, ICHEP2004 George W.S. Hou (NTU) 11

Arhrib-Chua-WSH, PRD’01

• B Ks Rateb s (and B Ks) Rate Constraint

• Survive b s Constraint !!

• Ks Rate “Sees Red”• Combine Combine b b s s and and B B KKss → → ~ ~ /2,/2, 33/2 /2 ??

gmm ~ ,~ 1, 0.5 TeV1, 0.5 TeV2, 0.52, 0.51, 0.8 TeV1, 0.8 TeV2, 0.82, 0.8

GeV 800~ gm[ More Conservative ][ More Conservative ]

: LR Chiral Enhancement

August 17, ICHEP2004 George W.S. Hou (NTU) 12

mES

Simpler (vs SS’K’Kss)

SSKKs s < 0,< 0, SSKKss ~ S~ SKKss PossiblePossible• SSKKss < 0 prefers lower -plane SSKKss, SS’K’Kss ~ sin2Bd as well!• Lower gluino massLower gluino mass lowers SSKKss• Prefer to keep gluino mass above 500 GeV (L.E. Constraints) >> Hadronic Parameters << CP phase enters B → Ks via Lower q2, and/or larger Larger |SSKKs s |

• Could Could ~~ /2/2 be it?be it?Anticorrel. noticed first by Khalil & Kou ’03 for SS’K’Kss [Murayama et al. ’03]

0.5 TeV Preferred0.5 TeV Preferred

sKS~

sKSccqmbS

~

1212 2

2

4

: Anticorrelated: Anticorrelated

August 17, ICHEP2004 George W.S. Hou (NTU) 13

Amplitudes

V ∓ A

Reason why Opposite Trend in SSKKss vs vs SSKKss , SS’K’Kss

hadronichadronicuncertaintyuncertainty

Right-handed interactions

August 17, ICHEP2004 George W.S. Hou (NTU) 14

In SM, b b ss LL

• Strength of Mixing-dep. CPV

Test RR component ((AAtwood, twood, GGronau, ronau, SSoni, 1997oni, 1997))

• SSKK**00((KKss))nownow PromisinPromisingg In contrast BBss probably rely on BBss • Can also test RR comp. via Polarization in b (Mannel, Recksiegel, 1997)(Mannel, Recksiegel, 1997)

Implication: Wrong Helicity Photon inWrong Helicity Photon in b b ss RR

)2sin( 2sin

)|||(|||22sin

1111

211

211

1111

0

mix

dBMS

cccc

Free of hadronic uncertaintyFree of hadronic uncertaintyCrisp

August 17, ICHEP2004 George W.S. Hou (NTU) 15

• Lighter gluino ~ 500 GeV Needed - mmBBs s > 70> 70 psps-1-1 Tough ! - sin2sin2BBs s ~~ 0 - 1 0 - 1 Tough ? Would’ve preferred [Arhib, Chua, WSH 01] heavier gluino but for … SSKKs s < 0< 0 • LHCb can still measure! • CPV in untagged BBss also •100 GeV100 GeV ? ~ 200 GeV case Except, Easier Direct Detection !Direct Detection !

Clean Measure: mmBBss ,, sin2 sin2BBssTake ~ /2 as example

Tough Tough (!?)(!?)

gmm ~ ,~ 1, 0.5 TeV1, 0.5 TeV2, 0.52, 0.51, 0.8 TeV1, 0.8 TeV2, 0.82, 0.8

Details: WSH and M. Nagashima, hep-ph/0404001 to appear in PRD

August 17, ICHEP2004 George W.S. Hou (NTU) 16

III. K* Polarization PuzzlePolarization Puzzle

PRL

PRL

Large,Large, NewNew Physics,Physics, CPC b → s Effect Needed ?

August 17, ICHEP2004 George W.S. Hou (NTU) 17

Heuristic/Drastic ModelOn-shell b s g: g is Transverse

b s ~ 3 x 10−4 b s g ~ few x 10−3

B K* ~ 4 x 10−5 B KT* T~ 5 x 10−610% 0.1% ?

ComplicatedColor Structure

min.is “gg”

b

xx

Simple StringFragmentation Resonances

August 17, ICHEP2004 George W.S. Hou (NTU) 18

Ansatz

ad hoc term

August 17, ICHEP2004 George W.S. Hou (NTU) 19

SM and NP “Solutions”: Prediction for K*SM

NP ()

absence for K*

August 17, ICHEP2004 George W.S. Hou (NTU) 20

CP and T Violation in Polarization States

August 17, ICHEP2004 George W.S. Hou (NTU) 21

w/ Kingman Cheung, hep-ph/0404041 to appear PRD

~ 200 GeV~ 500 GeV

LSP ?

Tevatron Study

IV. Collider Search for Light

August 17, ICHEP2004 George W.S. Hou (NTU) 22

Standard b squark limit diluted by dual s-b flavor of

August 17, ICHEP2004 George W.S. Hou (NTU) 23

Cross Sections at Tevatron

~ 0.1-1 pb ≲ 0.01 pbA few hundred events at few fb−1

Dominant

August 17, ICHEP2004 George W.S. Hou (NTU) 24

Detection• Basically, just a light “b”-squark in Production so, Discovery not a problem.

• Question is Decay: bino LSP or gravitino

• Can be Stable? (LSP)In principle Heavy MIPs

Anyway, need Good b-tagging ! [s-tagging?]sin2 is b fraction

August 17, ICHEP2004 George W.S. Hou (NTU) 25

standard sbeauty

reference 1

• Discovery (> 10 evts) up to 300 GeV w/ 2 fb−1 & sin2m>0.5 • Single vs double b-tag contain info on sinm

• b-tag cross section: check consistency vs mass

August 17, ICHEP2004 George W.S. Hou (NTU) 26

Conclusion SSKKss , SSKKss, SS’K’Ks s Data MayMay Call for - Large s-bs-b Mixing, w/ New CPV Phase & R.-h.R.-h. Interaction K*

Polarization Puzzle Polarization Puzzle may call for Drastic Remedy A Light Flavor-mixedFlavor-mixed Squark? Independtly Well Motivated (Flavor & SUSY) • Survive b s (!) • Can Account for SSKKs s ≲ 0≲ 0, but SSKKss,, SS’K’Ks s ~ S~ SKKss • mmBBss , sin2sin2BBs s May Become Difficult • SSKKssnownow Promising, and CleanPromising, and Clean Search at Tevatron (and beyond) Profitable

[offerred]