Search for New Physics Phases in b g s Penguins Time-dependent CP Violation (TCPV) Measurements at BABAR and Belle M. Hazumi (KEK) FPCP2004, Oct. 4-9, Daegu, Korea Outline • TCPV in hadronic b g s penguins – ICHEP04 results for B0gfK0, K+K-Ks, hKs, f0(980)Ks, wKs, Ksp0 - New results for B0 g KsKsKs from Belle • TCPV in radiative b g s penguins – ICHEP04 results for B0 g K*0g, K*0 g Ksp0 3-body decays with no need for angular analysis - New results for B0 g Ksp0g (including K*0g) from Belle • Summary October 7, 2004 Masashi Hazumi (KEK) FPCP2004 2 Related talks • Theory in and beyond the Standard Model (SM) E. Kou, P. Ko, Y. Okada, … • Basics of TCPV measurements K. Trabelsi • Rare B decay reconstruction and background suppression Several speakers • Future prospects Y. Kwon, T. Iijima October 7, 2004 Masashi Hazumi (KEK) FPCP2004 3 TCPV in hadronic b g s penguins http://www.physics.purdue.edu/10E34/ • • TCPV in fKs already ranked as observable fKs not yet observed (needless to say, no TCPV measurement) as of June.2000 October 7, 2004 Masashi Hazumi (KEK) FPCP2004 4 sin2f1 from bgs penguins at ICHEP04 sin2f1(bgsqq) = 0.43 0.08 CL = 3.410-4 (3.6s) sin2f1(bgccs) = 0.726 0.037 My “optimistic” guess in 2000 underestimated the ability of B factories ! October 7, 2004 Masashi Hazumi (KEK) FPCP2004 5 0 B f 0 K : 0 K g Ks or KL _ l2 l3 _ u u l1 (simplified explanation) October 7, 2004 f ~ pure ss (C -A also used) S -CPsin2f1, A 0 if no new CPV phase CP : CP eigenvalue -1 for fKs “sin2f1” +1 for fKL -CP S f • Small SM “tree pollution” – CKM-suppressed: O(l2) – OZI-suppressed: O(10-1) • u-penguin (l4) also highly suppressed Masashi Hazumi (KEK) FPCP2004 6 _ 227M BB 0 B 0 fK signals _ 275M BB [hep-ex/0408072] Plots for all signal events Nsig: the total number of signal events in the sample used for TCPV measurements Ks g p +p - Nsig = 11412 Plots for signal-enhanced regions: signals seen in the plots < Nsig; Dt used for selection. fKL: f g K+KKL w/ EMC or IFR October 7, 2004 Nsig = 13914 purity = 0.63 Nsig = 9818 purity = 0.17 Events/(50MeV/c) fKs: f g K+K- [hep-ex/0409049] Masashi Hazumi (KEK) fKs: f g K+K- Ks g p+p-, p0 p0 fKL: f g K+KKL w/ ECL or KLM Nsig=3615(stat)10(syst) FPCP2004 sig + bkg_sum bkg_sum sig + B-bkg B-bkg 7 TCPV results for _ 227M BB _ 275M BB [hep-ex/0408072] “sin2f1” = +0.50 0.25 +0.07 -0.04 A = 0.00 0.23 0.05 0 B 0 fK [hep-ex/0409049] “sin2f1” = +0.06 0.33 0.09 A = +0.08 0.22 0.09 fKs S = 0.73 fit Poor tags fK0 (~0.9s @SM) fKL October 7, 2004 (~1.9s @SM) Good tags Masashi Hazumi (KEK) FPCP2004 8 “sin2f1” History of “sin2f1” with 0 fK _ sin2f1 from ccs BABAR Belle 106 October 7, 2004 Masashi Hazumi (KEK) FPCP2004 9 Checks: sin2f1 0 (B [hep-ex/0409049] J/y KS/L) Validation of new data sample (SVD2)_ SVD1: 152M BB SVD1 S = 0.696 0.061 (stat) A = 0.011 0.043 (stat) Good tags _ SVD2: 123M BB SVD2 f K0 Good tags Dt (ps) S = 0.629 0.069 (stat) A = 0.035 0.044 (stat) 4.5% (MC) SVD1: SVD2: S = -0.68 0.46 S = +0.78 0.45 A = -0.02 0.28 A =+0.17 0.33 October 7, 2004 Masashi Hazumi (KEK) many systematic checks, all ok FPCP2004 10 Other decay modes: B0 g X0Ks CP X0 K+K- ~+1 h -1 X0 decay h g rg, hp+pr g p+ph g gg, p+p-p0 P P’ T T’ P’ f0(980) g p+p- w p0 w g p +p -p 0 p0 g gg -1 • • • Ks g p+p- for all modes Ks g p0p0 only by BABAR for h Ks d T l2 s t g s s d _ sss penguin b l2 t g _ sdd penguin d b d W- l4 color-suppresed T’ b wKs only by Belle W u s u s s d l4 d Masashi Hazumi (KEK) FPCP2004 s d d d u u s d color-allowed - – not used for h g p+p-p0 October 7, 2004 P b W- f0(980) +1 -1 W- 11 TCPV_results for B0 K+K-Ks_ (excluding fKs) 227M BB 275M BB [hep-ex/0408076] [hep-ex/0409049] +0.17 “sin2f1” = +0.55 0.22 0.04 0.11 “sin2f1” = +0.49 0.18 0.04 -0.00 A = -0.08 0.12 0.07 A = -0.10 0.14 0.06 f(CP=+1)=0.890.080.06 f(CP=+1)=1.030.150.05 Nsig = 39928 purity = 0.56 (~0.7s @SM) October 7, 2004 Raw Asymmetry Nsig = 45228 (~0.9s @SM) Masashi Hazumi (KEK) S = 0.73 fit Good tags FPCP2004 12 0 g hKs TCPV results for B _ _ 227M BB 275M BB [hep-ex/0408090] “sin2f1” = +0.27 0.14 0.03 A = +0.21 0.10 0.03 “sin2f1” = +0.65 0.18 0.04 A = -0.19 0.11 0.05 Nsig = 51227 purity = 0.61 October 7, 2004 Raw Asymmetry Nsig = 81938 (~3.1s @SM) [hep-ex/0409049] Masashi Hazumi (KEK) S = 0.73 (~0.4s @SM) fit Good tags FPCP2004 13 0 g f (980)Ks TCPV results for B 0_ _ 209M BB 275M BB [hep-ex/0408095] +0.23 “sin2f1” = +0.95 -0.32 0.10 A = +0.24 0.31 0.15 “sin2f1” = -0.47 0.41 0.08 A = -0.39 0.27 0.08 Nsig = 9414 purity = 0.53 October 7, 2004 Raw Asymmetry Nsig = 15219 (~0.7s @SM) [hep-ex/0409049] Masashi Hazumi (KEK) S = 0.73 fit Good tags (~2.9s @SM) FPCP2004 14 TCPV results for B0 g wKs _ 275M BB [hep-ex/0409049] +0.13 Nsig = 317 (7.3s) purity = 0.56 October 7, 2004 Raw Asymmetry “sin2f1” = +0.75 0.64 -0.16 A = +0.26 0.48 0.15 Masashi Hazumi (KEK) (~0.0s @SM) Good tags FPCP2004 15 Vertex reconstruction for B0 g Ksp0 p+ p- Ks trajectory B vertex IP profile g g Reconstruct B Ks p0(g) vertex using Ks trajectory and boost trajectory or IP profile Sufficient resolution obtained Validated with J/y Ks (without using J/y) S J /y K S +0.68 0.10 Good tags A J /y K S +0.02 0.04 October 7, 2004 Masashi Hazumi (KEK) FPCP2004 16 TCPV results for _ 227M BB B0 _ 275M BB [hep-ex/0408062] +0.30 “sin2f1” = +0.35 -0.33 0.04 A = -0.06 0.18 0.06 [hep-ex/0409049] Nsig = 16816 purity = 0.55 high LR Raw Asymmetry * mmiss (not mES) (~1.2s @SM) 7713 w/ vtx (high+low LR) “sin2f1” = +0.30 0.59 0.11 A = -0.12 0.20 0.07 Nsig = 30023 (192 w/ vtx) October 7, 2004 g Ksp0 Masashi Hazumi (KEK) low LR Nsig = 8318 purity = 0.17 S = 0.73 (~0.7s @SM) fit Good tags & high LR FPCP2004 17 sin2f1 from bgs penguins at ICHEP04 sin2f1(bgsqq) = 0.43 0.08 CL = 3.410-4 (3.6s) sin2f1(bgccs) = 0.726 0.037 More decay modes are very welcome to elucidate the deviation October 7, 2004 Masashi Hazumi (KEK) FPCP2004 18 TCPV in B0 g P0Q0X0 T. Gershon and M. H., Phys. Lett. B 596 (2004) 163 B0 J=0 P0 L Q0 L’ X0 • P0, Q0, X0 are CP-eigenstate spin-0 neutral particles. • J = 0 for B0 total angular momentum of the P0Q0X0 system should also be 0. L’ = L. • CP(P0Q0X0) = CP(P0)CP(Q0)CP(X0)(-1)L+L’ = CP(P0)CP(Q0)CP(X0) • Therefore, P0Q0X0 is a CP eigenstate although it is a 3-body state ! P0, Q0, X0 can be all different large variety October 7, 2004 Masashi Hazumi (KEK) FPCP2004 19 October 7, 2004 Masashi Hazumi (KEK) FPCP2004 20 October 7, 2004 Masashi Hazumi (KEK) FPCP2004 21 0 B g KsKsKs (CP-even state) _ b B0 d • No up quark in the final state “pure” penguin • First observation by Belle (Nsig ~ 12 @ 78fb-1) _ s d Ks _ d s Ks _ s Ks d – Rather clean signal – Room for improvement: Nsig can be larger • BaBar confirmed the signal with higher statistics at ICHEP04 (hep-ex/0408065) – Br = (6.5 0.8 0.8) x 10-6 October 7, 2004 Masashi Hazumi (KEK) FPCP2004 22 TCPV in 0 B g KsKsKs from Belle (~2.8s @SM) “sin2f1” = -1.26 0.68 0.18 A = +0.54 0.34 0.08 New! w/ VTX w/o VTX total Nsig 3 (p+p- 96 32 128 72 2 (p+p- & (p0p0 21 18 39 16 117 50 167 88 total October 7, 2004 Masashi Hazumi (KEK) Poor tags Good tags FPCP2004 23 sin2f1 from bgs penguins at FPCP04 WA sin2f1(bgsqq) = 0.39 0.11 (Belle) 0.42 0.10 (BABAR) World Average (WA) sin2f1(bgsqq)= 0.41 0.07 sin2f1(bgccs) = 0.726 0.037 CL = 1.2 10-4 (3.8s) October 7, 2004 Masashi Hazumi (KEK) FPCP2004 24 TCPV in radiative b g s penguins SM: g polarized B0 & B0 opposite |S| ≈ 2(ms/mb)sin 2f1 ≈ 3% A ~ 1% New Physics Large S, A [e.g. Atwood,Gronau,Soni] * New phase not necessary; new amplitude that makes g “more flavor-nonspecific” is sufficient. gg Masashi Hazumi (KEK) p+ p- B vertex B0 K*[Ksp0]g Analysis Technique: similar to B0 Ksp0 October 7, 2004 Ks track FPCP2004 IP profile g 25 B K*[Ksp0]g TCPV [hep-ex/0405082] - 124M BB [hep-ex/0409049] Nsig=57 9 purity 0.65 275M BB S=0 fit Nsig=105 14 Good tags S = +0.25 0.63 0.14 A = +0.57 0.32 0.09 S = -0.79 0.63 0.50 0.09 A fixed at zero First step for new eraHazumi of b(KEK) sg FPCP2004 ! Masashi October 7, 2004 26 Generalized AGS (AGHS) D. Atwood, T. Gershon, M. H. and A. Soni, hep-ph/0410036 • Effective Hamiltonian • Decay amplitudes : F can be a state with more than one particle October 7, 2004 Masashi Hazumi (KEK) FPCP2004 27 0 B g 0 Ksp g 1 • Decay amplitudes described with Dalitz variables (s1, z) – QCD respects both C and P, i.e. f(s1, z) remains the same. – Also – Thus October 7, 2004 Masashi Hazumi (KEK) FPCP2004 28 0 B g 0 Ksp g 2 • TCPV for any angular momentum between Ks and p0 Cf. In the SM, S = -(2ms/mb)sin2f1 October 7, 2004 Masashi Hazumi (KEK) FPCP2004 29 Revisiting 0 B g Vg • TCPV formula V = C eigenvalue of V October 7, 2004 Masashi Hazumi (KEK) FPCP2004 30 TCPV in B0 g Ksp0g (incl. K*gKsp0) from Belle Statistical errors reduced ! S = -0.58 +0.46 -0.38 0.11 0.6 < M(Ksp0) < 1.8GeV/c2 use all including K* region A = +0.03 0.34 0.11 Poor tags New! Good tags Nsig = 10514 purity = 0.50 Cf. excluding K* mass region S = -0.39 +0.63 -0.52 stat) A = +0.10 0.51 stat) 0.6 < M(Ksp0) < 0.8 or 1.0 < M(Ksp0) < 1.8GeV/c2 October 7, 2004 Masashi Hazumi (KEK) FPCP2004 31 Summary • TCPV in hadronic b g s transitions – – – – New results for B0 g KsKsKs from Belle. 3.8s deviation from the SM with all results combined. More data, more modes are very welcome. Important to know DSSM precisely if measured deviation is not so large (which is most likely) exp. 1034 1043 (Tony’s request) th. 10% 10 ppb (my request) • TCPV in radiative b g s transitions – Generalized AGS oscillation • Cinternal determines the asymmetry, not CP • All P0Q0 states can be combined – New results for B0 g Ksp0g (incl. K*g) from Belle – Very promising approach to search for NP October 7, 2004 Masashi Hazumi (KEK) FPCP2004 32 Backup slides October 7, 2004 Masashi Hazumi (KEK) FPCP2004 33 TCPV in hadronic b g s penguins • B g fKs as a simple and clean example Dominant diagrams within the Standard Model (SM) similar diagrams for B0 + (C -A also used) • SM “tree pollution” – CKM-suppressed: O(l2) – OZI-suppressed: O(10-1) S -CPsin2f1 if no new A0 CPV phase CP : CP eigenvalue of the final state;e.g. -1 for fKs October 7, 2004 Masashi Hazumi (KEK) FPCP2004 34 TCPV in hadronic b g s penguins virtual particle (top quark, and more ?) CP violation “same” as J/yKs within the Standard Model (SM) Penguin~O(l2), Tree~O(l4) deviation = O(1)% Penguin diagram Estimations of hadronic uncertainties Grossman, Isidori, Worah, PRD58, 057504 (1998) London, Soni, PLB407, 61 (1997) Grossman, Ligeti, Nir, Quinn, PRD68, 015004 (2003) Gronau, Grossman, Rosner, PLB579, 331 (2004) (not a complete list, sorry !) Nice probe to search for new CP-violating phases October 7, 2004 Masashi Hazumi (KEK) FPCP2004 35 S term with new physics phase • No guarantee that -2CP S < sin2f1 • Each decay mode has different “tree pollution within the SM”. • Large |A| may also be possible, but strong phase difference is not guaranteed. October 7, 2004 Masashi Hazumi (KEK) FPCP2004 36 TCPV in hadronic b g s penguins • One of the most important topics in HEP now (and in the future) – e.g. SUSY GUT “Atmospheric neutrinos can make beauty strange.” • Experimental techniques well established – Basics of TCPV measurements – Basics of rare B decay reconstruction and background reduction October 7, 2004 Masashi Hazumi (KEK) FPCP2004 37 0 B f K0 → 0 fK : CPV Result S = 0.73 fit Good tags - 0.96 0.50 +-00..09 11 - 0.15 0.29 0.07 Poor tags Good tags - 0.15 0.29 0.07 fKS + fKL : S (fK0) = +0.06 0.33 0.09 A (fK0) = +0.08 0.22 0.09 2003 Result S( fK S ) -0.96 0.50 +-00..09 11 A (fKS ) -0.15 0.29 0.07 ~2s away from SM October 7, 2004 Masashi Hazumi (KEK) FPCP2004 38 SVD1/2 Data Checks combined fit SVD2 only SVD1 only Good tags Good tags SVD1: 4.5% S = -0.68 0.46 A = -0.02 0.28 October 7, 2004 SVD2: S = +0.78 0.45 A =+0.17 0.33 Masashi Hazumi (KEK) FPCP2004 many systematic checks, all ok 39 fKS/KL Results fKS only fKL only S = 0.00 0.33 A = 0.06 0.22 -S =2.3 2.0 A = 0.6 1.2 Combined fit October 7, 2004 Masashi Hazumi (KEK) FPCP2004 40 0 B f KS : Mass & Helicity f Helicity Mass bkg October 7, 2004 Masashi Hazumi (KEK) FPCP2004 41 0 B f K : Validations Control sample Lifetime fit w/ B fK /KS B fK tB+ = 1.67 October 7, 2004 +0.12 –0.11 Asymmetry fit w/ fK B f KS S(fK) = –0.03 0.20 tB0 = 1.59 +0.20 –0.19 Masashi Hazumi (KEK) A(fK) = +0.22 0.15 FPCP2004 42 History of b sqq CPV October 7, 2004 Masashi Hazumi (KEK) FPCP2004 43 B0K+K-KS : CP = 1 Mixture Since B0 K+K-KS is 3-body decay, the final state is a mixture of CP = 1. How can we determine the mixing fraction? CP = 1 fraction is equal to that of l=even/odd CP = +1 J=0 B0 CP = +1 K+ J=0 decay KS l Masashi Hazumi (KEK) CP = (-1)l l K- October 7, 2004 J=0 J=0 FPCP2004 44 B0K+K-KS : CP = 1 Mixture – cont’d l-even fraction in |K0K0> can be determined by |KSKS> system CP = +1 l = even Using isospin symmetry, l = odd 100 + 0 % - 15 October 7, 2004 Masashi Hazumi (KEK) FPCP2004 CP even 45 Analysis of B 0 K+K–K S (I) 227 106 B pairs Excluding f : dominant contribution (85%) of inclusive BR much more statistics than fKS Unknown a priori CP content: CP-even fraction must be determined experimentally Angular moments analysis (main result): Study [K+K–] helicity angle distribution | AB0 K +K -K 0 (cos ) |2 S and: P P (cos ) 0,1,2 As2 2 P0 - 5 / 2 P2 Ap2 5 / 2 P2 Average moments computed from sum of background-corrected signal weights, returned by ML fit (“sPlot” technique [Pivk-Le Diberder, physics/0402083]) As2 fCP -even 2 0.89 0.08 0.06 As + Ap2 Isospin analysis (cross check) [Belle, PRD 69, 012001 (2004)] fCP -even 2(B + K +KS0KS0 ) 0.75 0.11 (B0 K +K -K 0 ) ICHEP’04, Beijing, Aug 16-22, 2004 (statistical error only) A. Höcker – sin2 in Loop-Dominated Decays with BABAR 46 0 B + K K Ks • Large branching fraction • color-allowed b g u may be a problem • Mixture of CP-even and CP-odd; determined experimentally. October 7, 2004 Masashi Hazumi (KEK) FPCP2004 47 Available decay modes (P0 = Q0 only) October 7, 2004 Masashi Hazumi (KEK) FPCP2004 48 f0(980)KS :p+p- Mass didtribution r Non-f0 components are determined from the M(p+p-) distribution October 7, 2004 fx [ f(f0KS) = 91% f(p+p-KS) = 2.3% fr0KS) = 4.8% f(fxKS) = 1.6% Masashi Hazumi (KEK) FPCP2004 49 Systematic errors on S KKKS: effective sin2f1 0.17 for CP-even fraction Ks p0 K*g w Ks h’ Ks f0 Ks f K0 K+K-Ks VTX 0.02 0.06 0.01 0.01 0.02 0.01 0.01 flavor tag 0.01 0.02 0.04 0.01 0.01 0.01 <0.01 resolution 0.05 0.05 0.07 0.03 0.03 0.04 0.03 fit bias 0.03 0.03 +0.01 -0.10 0.01 0.03 0.01 0.01 signal fraction physics parameters 0.07 0.02 0.10 0.02 0.05 +0.08 -0.06 0.02 0.02 0.01 0.01 <0.01 0.01 <0.01 <0.01 background Dt shape 0.04 0.03 0.02 <0.01 0.04 0.01 <0.01 tag side interference <0.01 <0.01 0.01 <0.01 <0.01 <0.01 <0.01 TOTAL 0.11 0.10 +0.13 -0.16 0.04 0.08 0.09 0.04 October 7, 2004 Masashi Hazumi (KEK) FPCP2004 50 m132 B0KsKsKs peaking background rejection 6p B0c0Ks KsKsKs bccs VETOed B0D0CPKs KsKsKs Dalitz plot m122 October 7, 2004 Masashi Hazumi (KEK) B0f0(980)Ks KsKsKs bs kept (P*(Ks1)< P*(Ks2)< P*(Ks3) FPCP2004 51 0 B g KsKsKs vertex reconstruction 3(p+p-) [3 tight] 3(p+p-) [2 tight,1 loose] 2(p+p-) 1(p0p0) October 7, 2004 vertex eff. (SVD1) vertex eff. (SVD2) 77% 83% 86% 87% 62% 74% Masashi Hazumi (KEK) FPCP2004 52 0 B October 7, 2004 g KsKsKs signals Masashi Hazumi (KEK) FPCP2004 53 B0 g KsKsKs proper time distribution October 7, 2004 Masashi Hazumi (KEK) FPCP2004 54 B0 g KsKsKs systematic error Signal fraction Possible fit bias Vertexing Background Dt shape Dt resolution function Tag-side interference Flavor tagging Physics parameters Total October 7, 2004 Masashi Hazumi (KEK) S A 0.103 0.030 0.021 0.078 0.119 0.019 0.040 0.006 0.18 0.033 0.018 0.047 0.011 0.041 0017 0.008 0.005 0.08 FPCP2004 55 Belle sin2f1 from bgs penguins at FPCP04 October 7, 2004 Masashi Hazumi (KEK) FPCP2004 56 TCPV in B0 g P0Q0g • We consider B0 g P0Q0g and also B0 g P+P-g • JPC = 1-- for g: in general different from spin-0 X0 • New physics effects are also different; important to check correlations between radiative and hadronic b g s • If P0Q0 or P+P- from resonance, AGS oscillation may take place (see next slide about the AGS oscillation) – B0 g K*0 g, K*0 gKsp0 – B0 g r0g, r0 g p+p- October 7, 2004 Masashi Hazumi (KEK) FPCP2004 57 Review of AGS oscillation D. Atwood, M. Gronau and A. Soni, Phys. Rev. Lett. 79, 185 (1997) • In the Standard Model (SM), TCPV in B0 g Vg ~ 0 – V represents CP-eigenstate vector particle – g is polarized; either gL and gR • New Physics (NP) may introduce sizable inteference – e.g. LR-symmetric models allow Asym ~ S sin(Dmt), S ~ 0.5 October 7, 2004 Masashi Hazumi (KEK) FPCP2004 58 News from Belle at ICHEP04 in Beijing • Ksp0 invariant spectrum for B0 g Ksp0g (talk by K.F.Chen) Nice improvement expected by including all mass regions. Cf. present Belle result (hep-ex/0409049) SK*g = -0.79 +0.63 0.10 -0.50 • 5s observation of B g hKg (hep-ex/0408120) First observation of one of (many) useful decay modes October 7, 2004 Masashi Hazumi (KEK) FPCP2004 59 0 B g + ppg • p+p- is a CP eigenstate (CP-even) – Therefore C = (-1)J; sign of TCPV depends on J ! • C transformation changes the sign of the Dalitz variable z – This is another way to understand the J dependence g(s1,z) = +g(s1,-z) for odd J = -g(s1,-z) for even J October 7, 2004 Masashi Hazumi (KEK) results for B gVg restored FPCP2004 60