1 heavy quark phenomenology august 17, 2003 ichep2004, beijing b → k s cp polarization b → k...
DESCRIPTION
August 17, ICHEP2004George W.S. Hou (NTU) 3 Comment on B#V in Decay ARGUS 1992 CLEO 1999 ? 2004? Marciano, Nucl.Phys.Proc.Suppl. ’95 Contrary to our hep-ph Likewise for + +TRANSCRIPT
![Page 1: 1 Heavy Quark Phenomenology August 17, 2003 ICHEP2004, Beijing B → K S CP Polarization B → K S CP / K * Polarization/Collider Implications](https://reader036.vdocuments.us/reader036/viewer/2022062412/5a4d1b107f8b9ab05998ece6/html5/thumbnails/1.jpg)
1
Heavy Quark Phenomenology
August 17, 2003 ICHEP2004, Beijing
BB →→ KKSS CPCP/K* PolarizationPolarization/Collider Implications
![Page 2: 1 Heavy Quark Phenomenology August 17, 2003 ICHEP2004, Beijing B → K S CP Polarization B → K S CP / K * Polarization/Collider Implications](https://reader036.vdocuments.us/reader036/viewer/2022062412/5a4d1b107f8b9ab05998ece6/html5/thumbnails/2.jpg)
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)
![Page 3: 1 Heavy Quark Phenomenology August 17, 2003 ICHEP2004, Beijing B → K S CP Polarization B → K S CP / K * Polarization/Collider Implications](https://reader036.vdocuments.us/reader036/viewer/2022062412/5a4d1b107f8b9ab05998ece6/html5/thumbnails/3.jpg)
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 + +
![Page 4: 1 Heavy Quark Phenomenology August 17, 2003 ICHEP2004, Beijing B → K S CP Polarization B → K S CP / K * Polarization/Collider Implications](https://reader036.vdocuments.us/reader036/viewer/2022062412/5a4d1b107f8b9ab05998ece6/html5/thumbnails/4.jpg)
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]
![Page 5: 1 Heavy Quark Phenomenology August 17, 2003 ICHEP2004, Beijing B → K S CP Polarization B → K S CP / K * Polarization/Collider Implications](https://reader036.vdocuments.us/reader036/viewer/2022062412/5a4d1b107f8b9ab05998ece6/html5/thumbnails/5.jpg)
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
![Page 6: 1 Heavy Quark Phenomenology August 17, 2003 ICHEP2004, Beijing B → K S CP Polarization B → K S CP / K * Polarization/Collider Implications](https://reader036.vdocuments.us/reader036/viewer/2022062412/5a4d1b107f8b9ab05998ece6/html5/thumbnails/6.jpg)
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
![Page 7: 1 Heavy Quark Phenomenology August 17, 2003 ICHEP2004, Beijing B → K S CP Polarization B → K S CP / K * Polarization/Collider Implications](https://reader036.vdocuments.us/reader036/viewer/2022062412/5a4d1b107f8b9ab05998ece6/html5/thumbnails/7.jpg)
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
![Page 8: 1 Heavy Quark Phenomenology August 17, 2003 ICHEP2004, Beijing B → K S CP Polarization B → K S CP / K * Polarization/Collider Implications](https://reader036.vdocuments.us/reader036/viewer/2022062412/5a4d1b107f8b9ab05998ece6/html5/thumbnails/8.jpg)
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
![Page 9: 1 Heavy Quark Phenomenology August 17, 2003 ICHEP2004, Beijing B → K S CP Polarization B → K S CP / K * Polarization/Collider Implications](https://reader036.vdocuments.us/reader036/viewer/2022062412/5a4d1b107f8b9ab05998ece6/html5/thumbnails/9.jpg)
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
![Page 10: 1 Heavy Quark Phenomenology August 17, 2003 ICHEP2004, Beijing B → K S CP Polarization B → K S CP / K * Polarization/Collider Implications](https://reader036.vdocuments.us/reader036/viewer/2022062412/5a4d1b107f8b9ab05998ece6/html5/thumbnails/10.jpg)
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
![Page 11: 1 Heavy Quark Phenomenology August 17, 2003 ICHEP2004, Beijing B → K S CP Polarization B → K S CP / K * Polarization/Collider Implications](https://reader036.vdocuments.us/reader036/viewer/2022062412/5a4d1b107f8b9ab05998ece6/html5/thumbnails/11.jpg)
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
![Page 12: 1 Heavy Quark Phenomenology August 17, 2003 ICHEP2004, Beijing B → K S CP Polarization B → K S CP / K * Polarization/Collider Implications](https://reader036.vdocuments.us/reader036/viewer/2022062412/5a4d1b107f8b9ab05998ece6/html5/thumbnails/12.jpg)
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
![Page 13: 1 Heavy Quark Phenomenology August 17, 2003 ICHEP2004, Beijing B → K S CP Polarization B → K S CP / K * Polarization/Collider Implications](https://reader036.vdocuments.us/reader036/viewer/2022062412/5a4d1b107f8b9ab05998ece6/html5/thumbnails/13.jpg)
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
![Page 14: 1 Heavy Quark Phenomenology August 17, 2003 ICHEP2004, Beijing B → K S CP Polarization B → K S CP / K * Polarization/Collider Implications](https://reader036.vdocuments.us/reader036/viewer/2022062412/5a4d1b107f8b9ab05998ece6/html5/thumbnails/14.jpg)
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
![Page 15: 1 Heavy Quark Phenomenology August 17, 2003 ICHEP2004, Beijing B → K S CP Polarization B → K S CP / K * Polarization/Collider Implications](https://reader036.vdocuments.us/reader036/viewer/2022062412/5a4d1b107f8b9ab05998ece6/html5/thumbnails/15.jpg)
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
![Page 16: 1 Heavy Quark Phenomenology August 17, 2003 ICHEP2004, Beijing B → K S CP Polarization B → K S CP / K * Polarization/Collider Implications](https://reader036.vdocuments.us/reader036/viewer/2022062412/5a4d1b107f8b9ab05998ece6/html5/thumbnails/16.jpg)
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 ?
![Page 17: 1 Heavy Quark Phenomenology August 17, 2003 ICHEP2004, Beijing B → K S CP Polarization B → K S CP / K * Polarization/Collider Implications](https://reader036.vdocuments.us/reader036/viewer/2022062412/5a4d1b107f8b9ab05998ece6/html5/thumbnails/17.jpg)
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
![Page 18: 1 Heavy Quark Phenomenology August 17, 2003 ICHEP2004, Beijing B → K S CP Polarization B → K S CP / K * Polarization/Collider Implications](https://reader036.vdocuments.us/reader036/viewer/2022062412/5a4d1b107f8b9ab05998ece6/html5/thumbnails/18.jpg)
August 17, ICHEP2004 George W.S. Hou (NTU) 18
Ansatz
ad hoc term
![Page 19: 1 Heavy Quark Phenomenology August 17, 2003 ICHEP2004, Beijing B → K S CP Polarization B → K S CP / K * Polarization/Collider Implications](https://reader036.vdocuments.us/reader036/viewer/2022062412/5a4d1b107f8b9ab05998ece6/html5/thumbnails/19.jpg)
August 17, ICHEP2004 George W.S. Hou (NTU) 19
SM and NP “Solutions”: Prediction for K*SM
NP ()
absence for K*
![Page 20: 1 Heavy Quark Phenomenology August 17, 2003 ICHEP2004, Beijing B → K S CP Polarization B → K S CP / K * Polarization/Collider Implications](https://reader036.vdocuments.us/reader036/viewer/2022062412/5a4d1b107f8b9ab05998ece6/html5/thumbnails/20.jpg)
August 17, ICHEP2004 George W.S. Hou (NTU) 20
CP and T Violation in Polarization States
![Page 21: 1 Heavy Quark Phenomenology August 17, 2003 ICHEP2004, Beijing B → K S CP Polarization B → K S CP / K * Polarization/Collider Implications](https://reader036.vdocuments.us/reader036/viewer/2022062412/5a4d1b107f8b9ab05998ece6/html5/thumbnails/21.jpg)
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
![Page 22: 1 Heavy Quark Phenomenology August 17, 2003 ICHEP2004, Beijing B → K S CP Polarization B → K S CP / K * Polarization/Collider Implications](https://reader036.vdocuments.us/reader036/viewer/2022062412/5a4d1b107f8b9ab05998ece6/html5/thumbnails/22.jpg)
August 17, ICHEP2004 George W.S. Hou (NTU) 22
Standard b squark limit diluted by dual s-b flavor of
![Page 23: 1 Heavy Quark Phenomenology August 17, 2003 ICHEP2004, Beijing B → K S CP Polarization B → K S CP / K * Polarization/Collider Implications](https://reader036.vdocuments.us/reader036/viewer/2022062412/5a4d1b107f8b9ab05998ece6/html5/thumbnails/23.jpg)
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
![Page 24: 1 Heavy Quark Phenomenology August 17, 2003 ICHEP2004, Beijing B → K S CP Polarization B → K S CP / K * Polarization/Collider Implications](https://reader036.vdocuments.us/reader036/viewer/2022062412/5a4d1b107f8b9ab05998ece6/html5/thumbnails/24.jpg)
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
![Page 25: 1 Heavy Quark Phenomenology August 17, 2003 ICHEP2004, Beijing B → K S CP Polarization B → K S CP / K * Polarization/Collider Implications](https://reader036.vdocuments.us/reader036/viewer/2022062412/5a4d1b107f8b9ab05998ece6/html5/thumbnails/25.jpg)
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
![Page 26: 1 Heavy Quark Phenomenology August 17, 2003 ICHEP2004, Beijing B → K S CP Polarization B → K S CP / K * Polarization/Collider Implications](https://reader036.vdocuments.us/reader036/viewer/2022062412/5a4d1b107f8b9ab05998ece6/html5/thumbnails/26.jpg)
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]