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CP Highlights: Circa 2005. Amarjit Soni HET, BNL ( soni@bnl.gov ) …………. National Taiwan Univ. 6/23/05. Outline. Introduction: B-Factory + Lattice …help attain an imp. milestone -> Improved Searches for χ BSM in the light of BF results : Indirect Searches with theory input
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CP Highlights: Circa 2005 Amarjit Soni HET, BNL (soni@bnl.gov) …………. National Taiwan Univ. 6/23/05
Outline • Introduction: B-Factory + Lattice …help attain an imp. milestone -> • Improved Searches for χBSM in the light of BF results: Indirect Searches with theory input Indirect Searches w/o theory input: Elements of a Pristine UT Direct Searches: Penguin dominated hadronic modes Radiative B-decays Null Tests • K-UT • NEDM • TEDM • Link with ν-Physics: Leptogenesis • Summary
Atwood +Soni, CKMfit PLB’01 More sophisticated recent updates (CKMfitter, J.Charles et al ’04; Utfit M.Bona et al’05) with similar numbers
Theory vs. Expt (’04) • Angle Theory Expt. • Sin2β .70+-.10 .726+-.037 • α [98+-16]ο [103+-13]ο • γ [60+-7]ο ~ [70+-30]ο EXPT MEANS “DIRECT DETERMINATIONS” - Most likely effect of any BSM-CP-odd phase on B-physics is (from now on) a perturbation. …..A SIGNIFICANT CAVEAT
Important Lesson from the CKM-paradigm • We know now that CKM-phase is O(1) • CP asymmetries in K-decays are at most (.001) • In charm decays CPV expected to be very small • In top physics asymmetries are completely negligible • Only in B decays effects are O(1) • If there is BSM-CP-odd phase of O(1) it would be quite a coincidence if B’s are favored again
Basic ADS Maximize direct CP by maximal interference: CLA X DCBS ~ CLS X CBA
K- D0 DCBS CLA B- K-{K + π -} CLS CBA K- D0 Vub/N[Vcb Vcd Vus]-1 ~ 0.7
QM amplitude for two interfering paths ξK is strong phase for B ->K D0; ξfi is for D0 -> fi ξK fi = ξK + ξfi For a given final state fi 3 unknowns: unmeasureable Br(B- ->K- D)=b(K); ξK fi ; γ
Some of the relevant (common)modes of D0 ,D0 Br CP • GLW: CPES (CBA/SCBS) KS [π0,η,η’,ρ0,ω]; π+ π- …. Σ few% <~10% 2) GLS: CPNES (SCBS) K* K,ρ + π- …. ~0.5% <~10% 3) ADS: CPNES(DCBS) K+ (*) [π- , ρ - , a1 -….] O(10-3) O(1)
δ & β from TDCP studies of B0->”K0” D0[Atwood & AS, hep-ph/0206045, develop methods for model independent use of multi-body & inclusive modes] • Related works: Gronau & London ’91; Branco, Lavoura & Silva, ’99; Kaiser & London ’01; Sanda’02; Gronau,Grossman,Shumaher,Soffer and Zupan,hep-ph/0402055 I) Note δ=(β – α + π) = (2 β + γ); Note also that this is yet another (and even cleaner) method for β & of course also for γ. II) However, it is less efficient than either B0 -> ψ KS or B+ ->”K+” D0 III) Asy: CPNES ~ 0.35 CPES ~ 0.75
Commonality of B+ ,B0 Same decays of D0 are used in DIRCP in B+ decays as well As in TDCP in B0 ,allowing for info from charm factories & And elsewhere to b recycled
Summary & outlook on (direct)γ IV) With O(.4 ab-1 [NOW] ) γ ~ (69 +- 30)о Attainable accuracy with O(2 ab-1 [`’08]) will be appreciably faster than 1/sqrt(N) due to the plethora of channels opening up V) By ~ 2008, Expect δ γ ~ (2 to 5)ο Vi)Ultimate precision O(.1%) that the theory offers will require SBF
I.Projections for direct determination of UT • Now(.2/ab) 2/ab 10/ab ITE Sin2φ1 .037 .015 .015(?) .001 α 13 4(?) 2(?) ~1(?) γ(φ3) 20,10,10 5<->2 <1(? ) .05 Must strive for a pristine,direct determination of All 3 angles w/o theory assumptions to level of ITE. ITE should be the HOLY GRAIL -> SUPER-B is essential for this goal
DIRECT SEARCHES…illustrations • Penguin dominated hadronic FS… • Radiative B-decays • Tests aglore
A tantalizing possibilty: Signs of a BSM CP-odd phase in penguin dominated b ->s transitions?
Brief Recapitulation: Basic Idea Dominant decay amp.has 0 weak phase [just as in B->ψKS] up to O(λ2)
J.Smith@ CKM05
J. Smith@CKM05 WA ~ 2.7σ
Brief remarks on the old study(with London, PLB’97) • Originally motivated by the thenCLEO discovery of • Huge inclusive (see Browder..) as well as exclusive • (see J. Smith…) Brs. into η’ • Suggest with Atwood(PLB97;PRL97) use of η’ Xs(d) for search of NP via DIRCP as in SM expect very small • With London suggest use of MICP in [η’ , η ,π0,ρ0,ω,φ….]KS to test CKM-paradigm via sin2φ1(β) • Present simple (naïve) estimates of T/P …for all cases find, T/P <0.04 • Due to obvious limitations of method suggest conservative bound ΔSf <0.10 for the SM For DIRCP see also Hou&Tseng, PRL’98
Glmpses from a few theoretical studies • I. London &A.S.PLB’97…use naïve quark model to suggest ΔS=0 + O(few%) for B->KS[ή,η,π,φ,ω,ρ…];but, in view of hadronic uncertainties advocate ΔS>0.1 may be problematic for the CKM-paradigm.Note, paper was basically motivated by the huge Br of ή KS discovered @ CLEO II 1) Mishima & Li (pQCD) KS[π,φ] very clean..[How about ή??] • 2)Beneke&Neubert(hep-ph/0308039) use QCDF in their study …main conclusion: KS[ή,φ] are the cleanest modes with smallest ΔS & smallest uncertainties 3)Cheng,Chua,A.S. [QCDF+FSI], KSή is cleanest; KSφ is also very clean (hep-ph/0502235)
For penguin dominated modes,e.g (π,ω)KS the subdominant tree is color suppressed, but FS rescattering phases arise from color allowed tree so can have large effects It is important
Effects of FSI on penguin dominated modes (Cheng,Chua and AS) • ΔSf >0.10 would be a compelling evidence for BSM-CP odd phase!
J.Smith@SBF’05 C later Will answer this Later in own way
Although, at the moment it is at best a marginal effect, it may well become a serious blunder on the part of experimentalists to ignore it! We can try learn some lessons from history. It is extremely important to understand that basically it is a very good test of the SM and theoretically it can be further improved
Christenson,Hicks,Lederman,Limon,Pope & Zavattini PRD 8,2016 ‘72
Can our theoretical understanding be improved? YES! • Improved measurements of Br and CP [DIRECT AND MIXING INDUCED] in related modes, such as [ή,φ,π…]K-(*) can help greatly in improving model calculations [EVEN THEORISTS CAN LEARN!]
What if improved measurements(e.g.) show ΔSήK>.20+-0.02 BOTTOMLINE It is IMPOSSIBLE that genuine NP will show up only in ή KS , many other hadronic (b ->s) final states MUST show NP effects. Furthermore, radiative and (pair)leptonic will in all likelihood be affected as well