new physics phases in cpv the case in present tense january 19, 2004

New Physics Phases in CPVThe Case in Present

Tense

January 19, 2004

Jan. 19, 2004 @ Super B George W.S. Hou 2

• Intro: raison d’etre for B Factories• (Abelian) Flavor Symmetry and SUSY

• Accounting for SSKKss, SS’K’Ks s , SSKKss & |A⊥(KK *)|2

• Situation for BBss MixinMixing

• SuperB Crisp Measurement: SSKK**00((KKss))

• Conclusionsee Kolda’s talk for more on NP CPV

NP CPV PhasesNP CPV Phases in in Present TensePresent Tense


Intro: raison d’etre for B Factories


Events leading up to B Factories

• 1979-80 Carter & Carter & SandaSanda, , BigiBigi & Sanda & Sanda — — Neat Mechanism/Method • 1983 Long B

• 1987 Large mBd [ARGUS]

• 1989 Asymmetric e+e− [Oddone]

• 1993-94 “David & Goliath” ...

B Factories Built on Clean Measure of sin 21

Raison d’etre accomplished 2001


Totsuka sensei’s Charge to Super-KEKB

... ... Considering all these research programs other than the B factory, theConsidering all these research programs other than the B factory, thefundingfunding for the luminosity upgrade of a B-factory is for the luminosity upgrade of a B-factory is notnot an an easyeasy task for task forKEK, and for other laboratories, too. KEK, and for other laboratories, too. All I can say at this point is thatAll I can say at this point is thatII need more good results like the recent oneneed more good results like the recent one in order to impress MEXTin order to impress MEXT(funding agency) about how important the super-B factory program is. (funding agency) about how important the super-B factory program is. One thing I like to hear from you is, though it is One thing I like to hear from you is, though it is a nasty questiona nasty question, , what you will do once a consensus is made to what you will do once a consensus is made to globalglobally build thely build the LC LC; ; whetherwhether you will join the LC or you will you will join the LC or you will stillstill be be 100%100% involved in the involved in the super-Bsuper-B factory. factory. ......

A no-nonsense guy!

BELLE’s new result on asymmetry in the B

Ks

Theme

“David & Goliath” Redux ?

Large NP CPV Phase w/ Crisp Measurement

HL5 @ Izu

’n I agree w/ him ...



S K s Sign AnomalyK* Polarization Anomaly

“Belle”

SSKK**00((KKss))

“BaBar”

Confession: We’ve been saying for years “ICPV in B Ks isa great place to search for New Physics”. It waslip service. The mindset was “Precision Tests”. So, SKs < 0, for 2nd year, came as a shocker.

Kagan (SSI 2002)“P Conserving” ... Chua, WSH, Nagashima 03

WSH, Nagashima (to appear)


Still 2.7 from 0.73 (~ 2002)

SKs Sign Anomaly

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 & SUSYSUSY ?Call for Synergies of FlavorFlavor & SUSYSUSY ?

[Belle/BaBar Average View]


Penguins (Vertex Loops)

SKS = sin 21

SM (KM) Prediction

Possible SUSYSUSYFCNC/CPV Loop

Real


PRL

0303020

K* Polarization Anomaly

Large,Large, N

ewNew Physics,

Physics, b → s

Effect Needed?


(approximate) Abelian FlavorFlavor Symmetry ⊕ SUSYSUSY AFS Has Right-handedRight-handed s-bs-b MixingMixing SUSY Brings in Right-handed DynamicRight-handed Dynamic

ss 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

Raison d’etreRaison d’etre for for Super B ? Super B ? Crisp Measurement!Have Advantage vs Hadronic Machines

SSKK**00((KKss))

& Theme

w/ CPV Phase

Sept. 24 , 2003 @ HL05 George W.S. Hou 11

(Abelian) Flavor Symmetry and SUSY


1??

?~ˆ ,

1??

?~ˆ 22

334

24

357

b

dd

t

uu m

MM

m

MM

11

~ˆ ,

1

~ˆ 223

334

24

246

357

b

dd

t

uu m

MM

m

MM

jjiijiij MMMM

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

Or, under Abelian Flavor Symmetry• Nir-Seiberg, PLB’93; Leurer-Nir-Seiberg, NPB’94

Prominentr.-h. elements

Commuting Charges

mass

VCKM

no r.h. force

AnsatzAnsatz jjiijiij MMMM


11

~ˆ ,

1

~ˆ 223

334

24

246

357

b

dd

t

uu m

MM

m

MM

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

Or, under Abelian Flavor Symmetry• Nir-Seiberg, PLB’93; Leurer-Nir-Seiberg, NPB’94

Prominentr.-h. elements

• 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

0

00

~ˆ ,

1

~ˆ 22

4

24

246

357

b

dd

t

uu m

MM

m

MM

Mixing Mixing ? MaximalNear RR bs

Alternative Picture:Alternative Picture:Chang,Masiero,MurayamaGUT

Focus: s-s-bb

no r.h. force

TeV ~ 4MWdecouple 1st gen.

TensionTension

hierarchy

scale


Right-handed Quarks Inert in SM Right-handed SSquarks

SUSYSUSY

Dynamicsgdd -jR-iR ~~

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

Assume Scale SUSY abovefar not AFSdegeneratealmost ,~ Squarks m


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


TeV Scale SUSY w/ Strange-beauty SqStrange-beauty Squarkuark

Some Remarks

• Fine-tuning to - to get light ?

FineFine tuning!

• Why TeV Scale SUSY? Large Flavor Violation (s-b) ⇔ Stringent Low Energy Constraints - even w/ d decoupled; - all other SUSY partners a “nuisance”:), so pushed high

“Light” Particles: ≲ 200 GeV

≳ (≲?) 500 GeV

likely LSP?

VcbVub

⊕ phase

Not MSSM ...

Not MSSM ...


• B Ks , ’Ks Rates

b s (and B Ks) 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


Accounting for SSKKss, SS’K’Ks s , SSKKss and |A⊥(KK *)|2


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


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 ’03 [Murayama et al. ’03]

0.5 TeV Preferred0.5 TeV Preferred

sKS~

sKScc

q

mbS

~

1212 2

2

4


BaBar: CPV with B0 Ks 0 [bs d dbar]

Reconstruct B Ks 0 vertex using Ks trajectory and boost trajectory

N =

C =

S =

S (C=0) =

0.380.470.48 0.11

0.270.280.40 0.10

0.410.480.41 0.11

123 16

Ks

+

-

0B

0B

0

e+e-

boosted (4s)

z

mES

asymmetry

In the absence of New Physics, S = sin(2φ1)=0.731±0.056

Browder @ LP03Consis

tent

Consistent

Seems Fine


Amplitudes

V ∓ A

Reason why Opposite Trend in SSKKss vs vs SS’K’Ks s , SSKKss

hadronichadronicuncertaintyuncertainty

R.H. interactions, not quite “P-conserving”


K* : Br and |A⊥(KK *)|2 ~ 0.4 Attainable

2*

~ larger ofcost At /qSparameters hadronic K

Kagan/SinhaTalks on VV


Upshot

w/ Kingman Cheung

NP CPV phase ~ 60 60°° - 70 - 70°°

~ 200 GeV

~ 500 GeVColliderDirect Search

Flavor FactoryFlavor Factorybut need to disentangle hadronic effect

Two Particle System


Situation for BBss MixinMixing


• 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• 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

10 fb-1

(1 yr)

Diminished Diminished ExpectationExpectation

SlightlySlightlyBetterBetter

Ste

ep

!S

teep

!

55 atat 68 ps 68 ps-1 -1 / yr / yr

x


Go for Untagged BBs s CPV Effect?

~ 10% BBss


SuperB Crisp Measurement: SSKK**00((KKss))

inspired by SSKKss


BaBar: CPV with B0 Ks 0 [bs d dbar]

Reconstruct B Ks 0 vertex using Ks trajectory and boost trajectory

N =

C =

S =

S (C=0) =

0.380.470.48 0.11

0.270.280.40 0.10

0.410.480.41 0.11

123 16

Ks

+

-

0B

0B

0

e+e-

boosted (4s)

z

mES

asymmetry

In the absence of New Physics, S = sin(2φ1)=0.731±0.056

Browder @ LP03

KKSS VertexingVertexing: Unique to B Factory to B Factory

Thank Oddone again


• Strength of Mixing-dep. CPV

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

• SSKK**00((KKss))nownow PromisinPromisingg In contrast BBss probably rely on BBss

• 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

Free of hadronic uncertaintyFree of hadronic uncertainty

Crisp


• Large effects in SSKKss (SS’K’Ks s , SSKKss) and |A⊥(KK *)|2

but plagued by hadronic uncertainties ...hadronic uncertainties ...

• Large NP CPV PhaseNP CPV Phase implied by SSKKs s < 0< 0

Projects Crisp Measurement of SSKKss≠≠ 0 0

• No Target to Shoot for if SSKKs s < 0< 0 Goes Away


Let’s Hope for the Better This Year !


• Liked AGS Mechanism since beginning Quantum Interference requires two helicities• Alas, Nature is Cunning: K*0 KS0

No Track!No Track! Pursued Pursued B0 K1 (1270)etc. insteadetc. instead ... ...

• So, BaBar’s SSKKss came as a shocker. ’course, had large(r) Si (than Belle)

or so I thought ...

Nakao san will show eff. vs Si size Invest inInvest in

Larger Si !Larger Si !

Confession II

N.B. SSKKssdifficultdifficult for hadronicfor hadronic


Caveats

• Direct CPV in K: Pattern Change, but Improved• D0-mixing: Just at present limit [because Vus shifted to uc sector generic for alignment• Cannot escape 199Hg edm (Shimizu talk) [complicated enough• ...

as opportunity ?


Conclusion SSKKss , SS’K’Ks s , SSKKssData Calls for - Large s-bs-b Mixing, w/ New CPV Phase - New Right-handedRight-handed Interaction A Light Flavor-mixedFlavor-mixed Squark? Independtly Well Motivated (Flavor & SUSY) • Survive b s • Can Account for SSKKss ≲ 0≲ 0,, SS’K’Ks s , SSKKss~ S~ SKKss • mmBBss , sin2sin2BBss May Become Difficult

• SSKKssnownow PromisingPromising

➯ ➯ Push for Super B w/ Large SiliconPush for Super B w/ Large SiliconSuperB may be Superb

SuperB may be Superb

new physics phases in cpv the case in present tense january 19, 2004

Documents

b s mixing s

susy s

b s effect

s conclusion

b s cpv effect

large large effective

b s mixin situation

s sign anomaly sin