Flavor A Two Particle SUSY/ Flavor Perspective on CPV in B → K S December 15, 2003 @ 6 th ACFA LC...

A Two Particle SUSY/FlavorFlavor Perspective on CPV in B → KS

December 15, 2003

@ 6th ACFA LC Workshop

Dec. 15 , 2003 @ ACFA-LC6 George W.S. Hou 2

Prologue: Is there a Link btwn LC and B?

• Super B Upgrade Does Take Aim at SUSY Effects !Super B Upgrade Does Take Aim at SUSY Effects !

But ...

• Could B Factory Impact on Tevatron/LHC/LC !?Could B Factory Impact on Tevatron/LHC/LC !?


Introduction: Intuitive Grasp of SKs Data*

* Cheon’s talk


Still 2.7 from 0.73 (~ 2002)

World Average

sin 21eff (KS) = 0.39±0.41 2002

sin 21eff (KS) = 0.15±0.33 2003

158 fb1:

250 fb1:

• 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 (’KS) ~ sin 21]

Call for Synergies of FlavorFlavor & SUSY ?Call for Synergies of FlavorFlavor & SUSY ?


Penguins (Vertex Loops)

SKS = sin 21

SM (KM) Prediction

Possible SUSYFCNC/CPV Loop

Real


(approximate) Abelian FlavorFlavor Symmetry ⊕ SUSY AFS Has Right-handed Right-handed s-bs-b Mixing Mixing SUSY Brings in Right-handed DynaRight-handed Dyna

micsmics AFS Model Pre-existed Nir-Seiberg, PLB’93; Leurer-Nir-Seiberg, NPB’94

More Definite, yet Generic, Model Context ⇨ Constraints/Predictions ⇦

Has All IngredientsHas All Ingredients

Framework


Abelian Flavor Symmetry and SUSY?


Abelian Flavor Symmetry jjiijiij MMMM Commuting Charges

Nir-Seiberg, PLB’93; Leurer-Nir-Seiberg, NPB’94Prominent

butright-handed

N.B. Need 4 Texture Zeros (Chua-WSH, PRL’01) : Set [..] = 0 Arhrib-Chua-WSH, PRD’01 Decouple d flavor

Mass/Mixing Hierarchy

Mixing Mixing ? MaximalNear RR bs

Alternative Picture:Alternative Picture:Chang,Masiero,Murayama

AFS: Independently Well Motivated

GUTGUT

Diag: MassUp-right: VCKM


Right-handed Quarks Inert in SM Right-handed SSquarks

SUSYSUSY

Dynamicsgdd -jR-iR ~~

Assume Scale SUSY abovefar not AFSdegeneratealmost ,~ Squarks m

110

110

001~

~but

suppressed CKM ,~~suppressed ~ ,~~~

22

22

22

CKM

mM

VmMm

mmMMM

RR

LLQ

qq

T

LRqRLq

dRR Sector

Impact b ⇄sthru SUSYSUSY

also important


110

110

001~

~

22

mM

RRq

Level Splitting by Large Mixing Drive One State Light

100 GeV100 GeVPossiblePossible

1 CP Phase

Focus onFocus on200 GeV200 GeV

strange-beauty squarkstrange-beauty squark


Why TeV Scale SUSY?

• Large Flavor Violation (s-b) ⇔ Stringent Low Energy Constraints

Chua-WSH, hep-ph/0110106


Facing B Data

Arhrib-Chua-WSH, PRD’01Chua-WSH-Nagashima, hep-ph/0308298


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


• B → Ks , ’Ks Rates

First, Rate Constraints

• Survive b → s Constraint

• Ks Rate “Sees Red”• Cannot Account for ’Ks Rate Not a New Problem• Combine Combine b b → → s s and and B B → → KKss → → ~ ~ /2,/2, 33/2 /2 ??

gmm ~ ,~ 1, 0.5 TeV1, 0.5 TeV

2, 0.52, 0.51, 0.8 TeV1, 0.8 TeV

2, 0.82, 0.8

GeV 800~ gm More ConservativeMore Conservative


Tuning for Tuning for SSKKs s ≲ 0,≲ 0, SS’K’Kss ~ S~ SKKss Possible Possible

• SSKKss ≲ 0 prefers lower -plane ➯ SS’K’Kss ≅ sin2Bd as well !• Lower gluino massLower gluino mass lowers SSKKss• Hadronic Parameters CP phase enters B → Ks via

Lower q2, and/or larger ➯ Larger |SSKKs s |∴ Prefer to keep gluino mass above 500 GeV (L.E. Constraints)• Could Could ≲≲ /2/2 be it?be it?Noticed also by Khalil & Kou [Murayama et al.]

0.5 TeV Preferred0.5 TeV Preferred


A Two(Three)-particle SUSY/FlavorFlavor Model?


The Upshot? Two-Particle SUSY Model

• Why TeV Scale SUSY? Large Flavor Violation (s-b) ⇔ Stringent Low Energy Constraints In fact, all other SUSY particles a “nuisance”:), hence pushed high.• TeV Scale SUSY w/ Strange-beauty SquarkStrange-beauty Squark

“Light” Particles: ≲ 200 GeV

≳ (≲?) 500 GeV

likely LSP?

unlikely ~ TeV


Allowed

Allowed

Generic Squark Bounds


b , s

∴ (bb+sb+bs+ss)

Diluted


Collider Study

w/ Kingman Cheung

~ 200 GeV

~ 500 GeV


Cross Sections at Tevatron

~ 0.1-1 pb ≲ 0.01 pb

A few hundred events at few fb−1


Cross Sections at LHC

Now Dominant

Both ~ 10 pbSomewhat forward

More massive event Distinct, probe s → b


Cross Sections at LC

~ 10 fb


Detection

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

• Question is Decay: bino LSP or gravatino

• Can be Stable? (LSP)

To be studied ...

But, need Good b-tagging ! [s-tagging?]


Conclusion

SSKKss , SS’K’Kss Data (May) Call for - Large s-b Mixing, w/ New CPV Phase - New Right-handed Interaction Hint at a Light Flavor-mixed Squark? Independtly Well Motivated (Flavor & SUSY) • Survive b → s Account for SSKKs s ≲ 0,≲ 0, SS’K’Kss>0>0 • Wait for Confirmation at B Factory Wait for Confirmation at B Factory [[⇨SuperB⇨SuperB]]

➯ ➯ Study Collider AspectStudy Collider Aspect

Nonstandard, Flavorful TeV SUSY w/ light StrangebeautyStrangebeauty

CP Phase !?CP Phase !?

B Factory Could Impact on Tevatron/LHC/LC !

B Factory Could Impact on Tevatron/LHC/LC !


Backup Slides …

27

2002 Status of New Phases in b s Penguins33


• Results stronger, but consistent (~ doubling of data)

3.53.5 from sin 21 = 0.73 • Statistics dominated• 2002: published (PRD’03) 2003: submitted to PRL (8/03), accepted 11/03

Belle B → KS : 2002 vs 2003

sin 21eff (KS) = 0.73±0.64±0.22

sin 21eff (KS) = 0.96±0.50

78 fb1:

140 fb1: +0.09

0.11


BaBar 2003:B → KS Systematic Issues

sin 21eff (KS) = 0.18±0.51±0.09

sin 21eff (KS) = +0.45±0.43±0.07

81 fb1:

110 fb1:

Data size increased and was reprocessed. Extensive checks with data and Toy MC. The large change is attributed to a 1σ statistical fluctuation.

Browder @ LP03

consistent w/ 0.73

New 29 fb1 : Gives > +1 !!


Abelian Flavor Symmetry jjiijiij MMMM Commuting Charges

Nir-Seiberg, PLB’93; Leurer-Nir-Seiberg, NPB’94Prominentbutright-handedN.B. Need 4 Texture Zeros (Chua-WSH, PRL’01) : Set [..] = 0

Arhrib-Chua-WSH, PRD’01 Decouple d flavor

Mass/Mixing Hierarchy

Mixing Mixing ? MaximalNear RR bs

Alternative Picture:Alternative Picture:Chang,Masiero,Murayama

AFS: Independently Well Motivated

GUT

Diag: MassUp-right: VCKM


Amplitudes

V ∓ A

Reason behind Opposite Trend in SSKKss vs vs SS’K’Kss


Situation for BBss Mixing and

New Prospect for SSK*K*


• Lighter gluino ~ 500 GeV Needed - mmBBs s > 70> 70 psps-1-1 Tough ! - sin2sin2BBs s ~~ 0 - 1 0 - 1 Tough ? Would’ve preferred heavier gluino but for … SSKKs s ≲ 0≲ 0• For lighter gluino, periodicity change ∵

a-term dominant (two exch.)• 100 GeV100 GeV ? ~ 200 GeV case Except, Easier Direct Detection !Direct Detection !

Consequences: mmBBss ,, sin2 sin2BBss

Take ≲ /2 as example

Tough Tough (!?)(!?)


Experimental Prospects for mmBBss

What about LHCb/BTeV ?

CDF Cannot Observe (already optimistic)

Nakada: Can; but CPV Program for BBss Diificult?


• Strength of Mixing-dep. CPV

Test LL component (Atwood, Gronau, Soni, 1997(Atwood, Gronau, Soni, 1997))

• SSKKssnownow PromisingPromising Free from Hadronic UncertFree from Hadronic Uncert.. In contrast, BBss → → probably washed out• Can also test LL comp. via Polarization in b → (Mannel, Recksiegel, 1997)(Mannel, Recksiegel, 1997)

Implications: Wrong Helicity Photon inWrong Helicity Photon in b b → → ss LL

)2sin( 2sin

)|||(|

||22sin

1111

211

211

1111

0

dBMS

CC

CC

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Flavor A Two Particle SUSY/ Flavor Perspective on CPV in B → K S December 15, 2003 @ 6 th ACFA LC...

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