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New Physics Hints in B Decays and Collider Outlook. January 7, 2006, WHEPP9 @ Bhubaneswar. Outline. Intro: S f in b sqq and A K + p - - A K + p 0 Hints Collider Links (Reveal Culprit at LHC) ; Jungle Law (Survive Constraints) S f K S Saga and S trange B eauty Squark
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New Physics Hints in B Decays and Collider Outlook January 7, 2006, WHEPP9 @ Bhubaneswar
Outline • Intro: Sfinb sqqandAK+p--AK+p0 Hints • Collider Links (Reveal Culprit at LHC) ; Jungle Law (Survive Constraints) • SfKS Saga and StrangeBeautySquark • RR Sector (Flavor ⊕SUSY) ; Kinder, Gentler (Scenarios; Bs; SK*g) • AK+p0 Puzzle, PEW and4th Generation • ∗ Tailor-made: nondecoupled t’ and NP Phase • ∗ PQCD at LO w/ 4th Generation: Workable • ∗ SpKS, SfKS w/ 4th Generation: Robust (against hadronic) • ∗ Impact: Bs; Digression • Collider Link: Bs; ; b’, t’ and FCNC • Summary 11 11 32 8 w/ A. Arhrib, C.K. Chua, M. Nagashima, G. Raz and A. Soddu references given at appropriate places
Not of this school (too restrictive)
b sCPV Phenomena Is Current NP Frontier • Sfinb sqq • AK+p--AK+p0 Puzzle • (VV polarization likely hadronic origin) Two Hints
CPV in bsss transitions and sin2b/f1 • Since winter 2005 : • improved accuracy • better agreement between BABAR and BELLE • all systematically below sin2b/f1 • QCD corrections : sin2b/f1(penguin) > sin2b/f1(tree) All modes (except ’Ks and p0 p0 Ks) are less than 1.5 s away from sin2b/f1 from J/ Ks recent QCD factorization estimates : [Beneke, hep-ph/0505075] [Cheng,Chua,Soni, hep-ph/0506268] sin2b/f1(penguin)-sin2b/f1(tree)
CPV in B0→ B0Mixing V*2 td No CPV in B → J/yKSDecay J/y Vcb B0 KS J/y V* Vtb td B0 B0 KS Vtb V* td M12 George W.S. Hou (NTU)
Penguins (Vertex Loops) Real SM (KM) Prediction SfKS= sin2f1 b Possible SUSY FCNC/CPV Loop StrangeBeauty George W.S. Hou (NTU)
2 08 ~5s Puzzle persists, @ > 3.8s
Why a Puzzle ? ? Large C ? Large EWPenguin? Suppress Tree CPV Phase Need NP CPV Phase ∵ T and PEW ≈ same strong phase
Aim • Collider Links: • ∗Bs at TeV/LHC • ∗ Direct Production of Culprits • ⇨Flavor Scale ≲ TeV • Jungle Law: • To Eat, Not Get Eaten (Constraints)
Mass/Mixing Hierarchy & R.H. FlavorSector mass VCKM no r.h. force Ansatz Commuting Charges Motivation: Abelian Flavor Symmetry • Nir-Seiberg, PLB’93; Leurer-Nir-Seiberg, NPB’94 George W.S. Hou (NTU)
Alternative Picture: Chang, Masiero, Murayama Mass/Mixing Hierarchy & R.H. FlavorSector no r.h. force Ansatz Commuting Charges Motivation: Abelian Flavor Symmetry Prominent r.-h. elements • 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, PRD’01:Decouple d flavor Focus: s-b GUT George W.S. Hou (NTU)
Assume Right-handed QuarksInert in SM Right-handedSquarks SUSY also important 6 x 6 RR Sector Impact b ⇄s thru SUSY George W.S. Hou (NTU)
1, 0.5 TeV 2, 0.5 1, 0.8 TeV 2, 0.8 Level Splitting by Large Mixing Could Drive One State Light Strange-Beauty squark 1 CP Phase s • Survive b sg Constraint !! Arhrib-Chua-WSH, PRD’01 w/ Large Flavor Violation Strong Dynamics George W.S. Hou (NTU)
A Little Note on Formalism … • Besides O1,2Tree • O3-6Strong Penguin • O7-10EM/EW Penguin • alsoO11,12g/g Dipole main effect Matrix Elements evaluated via Naïve Factorization George W.S. Hou (NTU)
History of SfK0 and Sh’K0 Belle BaBar 2002 2003 2004 SfK0 ~ -1 in 2003 … George W.S. Hou (NTU)
Frenzied work post summer 2003 Chua-WSH-Nagashima, PRL’04 • SfKs≲ 0 • ➯ SKsp0,Sh’Ks≅sin2FBd • Anticorrel. : Khalil & Kou ’03 for Sh’Ks • [Murayama et al. ’03] • Fine Tuned Light • Lower gluino masslowers SfKs • Prefer to keep gluino mass • above 500 GeV (L.E. Constraints) 0.5 TeV Preferred mES Data was extreme … faded since. Simpler(vsSh’Ks) George W.S. Hou (NTU)
Kinder, Gentler Benchmarks (SM-like) WSH-Nagashima, in prep.
Scenario 3 cannot accommodate due to the anti-correlation Natural TeV Scale Squark/Gluino w/ Flavor Viol. Scenario 1 Scenario 2 Anti-correlation tolerated for now Check in future. Scenario 4
Clean Probe for Bd Valid Probe of right-handed dynamics Can be tested at SuperB B.Grinstein et al BaBar hep-ex/0507038 Belle hep-ex/0507059 discriminate btwn SM and sb~ model
Scenario 4 Scenario 4 can lead to surprises Litmus Test with Bs Pin down Model parameters by Bsmeasurements to be covered @ LHCb!! e x c l u d e d
Need both CP Violating/Conserving Phase (Direct) CP Violation Primer
AKp0≠AKp? Large C ? Large EWPenguin? d p0 _ d b s B- K- u u ACP(Kp0)- ACP(Kp) ~ +0.16 > 3.8s ACP(K+p0) ~0.04 ACP(K+p-) ~ -0.12 Ligeti (and SCET) Charng, Li He, McKellar Wu, Zhou Gronau, Rosner Kim, Oh, Yu Previous talk by H.n. Li PQCD Naively ACP(Kp0) ~ ACP(Kp) Will focus on EWP, by adding t’, of a sequential 4th gen., in PQCD framework
Buras @ CKM05 Z’ hep-ph/0412086 emphasized likely New Physics in EWP
Why 4th Generation? Natural Impact on EWP w/ CPV Phase
Set safe CKM Unitarity measured from unitarity Return to later Phase
Effective Hamiltonian and t’ Effect SM 3 SM 4 new unitarity condition new penguin from t’
Wilson Coefficients at MW Scale (No New Operators) Tree QCD penguin SM4 naturally Impact on EWP EW penguin
Problem with 4th Generation ? • Natural to have particles with mass ~ EW scale, • to keep t, W, Z, H company • Existence of a 4th generation: U (t’), D (b’), N, E • Fit to EW precision data still not good. • 4th generation has trouble with S parameter, but • - Two heavy generations excluded at more than 3s • - Two and even three extra generations allowed • when neutral leptons relatively light disfavored allowed (Maltoni,) Novikov, Okun, Razanov, Vysotsky • Unitarity demands only. Quite generous.
PDG04 Anyway, Should avoid Precision EW “Overkill” e.g. Higgs
PQCD Factorizable Non- Factorizable Pa P T Penguin Annihilation w/ Phase
PQCD Factorizable Non- Factorizable PEW C (Ta)
B- K0- • 0.01 • - 0.01 • ~ - 0.02 • B0 K00 • - 0.04 • - 0.02 • 0.02 0.13 • B- K- 0 • 0.08 • - 0.10 • ~ 0.04 • B0 K- + • 0.04 • - 0.16 • ~ - 0.12 AKpandAKp0in PQCDF at LO 2001 2005 But
AKpand AKp0with 4th Generation SM 4 WSH-Nagashima-Soddu, PRL’05
EWP t’ Effect through EWP
~ 0.04 ACP(K+p-) ~ -0.12, ACP(K+p0) ~ +0.04 ? • ☞ACP(K+p-) almost independent of t’ • ☞ACP(Kp0)- ACP(Kp) > 0.1 demands • fsb~ +p/2 • Large mt’ and rsb Large Effect
(default) Vary ~ changing Varyd : ACP(K+p-) ~ -0.12 Possible N.B. d ~ p,∵ T-P sign diff. ∴ p - d perturbative ACP(Kp0) ~ 0 from Cancellation btwn fsb andf3 d “adjustable”
and Constraints SM 4
Arhrib and WSH Hattori, Hasuike and Wakaizumi Yanir 4th generation not excluded Independently favored allowed
ACP(K+p-) ~ -0.12, ACP(K+p0) ~ +0.04 ? From Constraints • Some parameter space allowed • fsb~ +p/2 favored by both ACP(K+p0) • and ⊕
N.B. (RH probe) is like SM3 BR well satisfied New Avg. PDG04 ~ 0.4 3.6 % SM 3 exp Difficult even at SuperB (SM 3 sensitivity)