new physics phases in cpv the case in present tense
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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
Jan. 19, 2004 @ Super B George W.S. Hou 3
Intro: raison d’etre for B Factories
Jan. 19, 2004 @ Super B George W.S. Hou 4
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
Jan. 19, 2004 @ Super B George W.S. Hou 5
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 ...
Jan. 19, 2004 @ Super B George W.S. Hou 6
Large NP CPV Phase w/ Crisp Measurement
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)
Jan. 19, 2004 @ Super B George W.S. Hou 7
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]
Jan. 19, 2004 @ Super B George W.S. Hou 8
Penguins (Vertex Loops)
SKS = sin 21
SM (KM) Prediction
Possible SUSYSUSYFCNC/CPV Loop
Real
Jan. 19, 2004 @ Super B George W.S. Hou 9
PRL
0303020
K* Polarization Anomaly
Large,Large, N
ewNew Physics,
Physics, b → s
Effect Needed?
Jan. 19, 2004 @ Super B George W.S. Hou 10
(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
Jan. 19, 2004 @ Super B George W.S. Hou 12
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
Jan. 19, 2004 @ Super B George W.S. Hou 13
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
Jan. 19, 2004 @ Super B George W.S. Hou 15
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
T
LRqRLq
dRR Sector
Impact b ⇄sthru SUSYSUSY
also important
Assume Scale SUSY abovefar not AFSdegeneratealmost ,~ Squarks m
Jan. 19, 2004 @ Super B George W.S. Hou 16
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
Jan. 19, 2004 @ Super B George W.S. Hou 17
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 ...
Jan. 19, 2004 @ Super B George W.S. Hou 18
• 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
Jan. 19, 2004 @ Super B George W.S. Hou 19
Accounting for SSKKss, SS’K’Ks s , SSKKss and |A⊥(KK *)|2
Jan. 19, 2004 @ Super B George W.S. Hou 20
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
Jan. 19, 2004 @ Super B George W.S. Hou 21
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
Jan. 19, 2004 @ Super B George W.S. Hou 22
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
Jan. 19, 2004 @ Super B George W.S. Hou 23
Amplitudes
V ∓ A
Reason why Opposite Trend in SSKKss vs vs SS’K’Ks s , SSKKss
hadronichadronicuncertaintyuncertainty
R.H. interactions, not quite “P-conserving”
Jan. 19, 2004 @ Super B George W.S. Hou 24
K* : Br and |A⊥(KK *)|2 ~ 0.4 Attainable
2*
~ larger ofcost At /qSparameters hadronic K
Kagan/SinhaTalks on VV
Jan. 19, 2004 @ Super B George W.S. Hou 25
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
Jan. 19, 2004 @ Super B George W.S. Hou 26
Situation for BBss MixinMixing
Jan. 19, 2004 @ Super B George W.S. Hou 27
• 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 (!?)(!?)
Jan. 19, 2004 @ Super B George W.S. Hou 28
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
Jan. 19, 2004 @ Super B George W.S. Hou 29
Go for Untagged BBs s CPV Effect?
~ 10% BBss
Jan. 19, 2004 @ Super B George W.S. Hou 30
SuperB Crisp Measurement: SSKK**00((KKss))
inspired by SSKKss
Jan. 19, 2004 @ Super B George W.S. Hou 31
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
Jan. 19, 2004 @ Super B George W.S. Hou 32
• 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
Jan. 19, 2004 @ Super B George W.S. Hou 33
• 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
Large NP CPV Phase w/ Crisp Measurement
Let’s Hope for the Better This Year !
Jan. 19, 2004 @ Super B George W.S. Hou 34
• 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
Jan. 19, 2004 @ Super B George W.S. Hou 35
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 ?
Jan. 19, 2004 @ Super B George W.S. Hou 36
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
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