Recent developments on CKM angles

Transcription

1 Recent developments on CKM angles Wei Wang Helmholtz-Institut für Strahlen- und Kernphysik, Bonn Flavor Physics & CP Violation, Buzios, Rio, May 2013 (FPCP 2013) Wei Wang (HISKP) CKM angles Buzios, Rio, May / 24

2 Why are we particularly interested in determining the CKM angles? Wei Wang (HISKP) CKM angles Buzios, Rio, May / 24

3 Direct search at hadron collider Higgs vs New particles beyond the SM Flavor Physics Test of SM Indirect search of new degree of freedom Wei Wang (HISKP) CKM angles Buzios, Rio, May / 24

4 Why are we interested in determing CKM angles? CKM unitarity triangle and CPV parameter convention Irreducible complex phase causes CP Violation (CPV)! b u Comprehensive test; transition measure all the angles and sides. Wolfenstein parametrization (α) B 0 -B 0 mixing (γ) (β) B system : very good place, all the angles are O(0.1)! Wei Wang (HISKP) CKM angles Buzios, Rio, May / 24

5 Status Left: evolution plot (UTFit ); Right: HFAG Average of sin(2β/ϕ 1 ) from all experiments. sin 2β year β = ϕ 1 = ( ). BaBar PRD 79 (2009) BaBar χ c0 K S PRD 80 (2009) BaBar J/ψ (hadronic) K S PRD 69 (2004) Belle PRL 108 (2012) ALEPH PLB 492, 259 (2000) OPAL EPJ C5, 379 (1998) CDF PRD 61, (2000) LHCb LHCb-PAPER Belle5S PRL 108 (2012) Average HFAG sin(2β) sin(2φ 1 ) H F A G CKM 2012 PRELIMINARY 0.69 ± 0.03 ± ± 0.52 ± 0.04 ± ± 0.42 ± ± 0.02 ± ± ± ± 0.07 ± ± 0.58 ± ± Wei Wang (HISKP) CKM angles Buzios, Rio, May / 24

6 Status Average taken from CKMFitter 1.0 CKM f i t t e r CKM12 (prel.) ππ/ρρ/ρπ (BABAR) ππ/ρρ/ρπ (Belle) ππ/ρρ/ρπ (WA) CKM fit 1.0 CKM f i t t e r Winter 12 D(*) K(*) GLW + ADS D(*) K(*) GGSZ Full Frequentist treatment on MC basis WA Combined CKM fit p-value p-value α (deg) γ (deg) α = ϕ 2 = ( ) γ = ϕ 3 = (66 ± 12). α + β + γ = (176 ± 13). Wei Wang (HISKP) CKM angles Buzios, Rio, May / 24

7 Status Recent results for γ from B DK (from HFAG) BaBar Belle LHCb γ ( ) ( ) ( ) r B δ B ( ) ( ) ( ) Ref. arxiv: CKM2012 preliminary LHCb-CONF Naive average: γ = (69.3 ± 9.3). α + β + γ = (179.3 ± 10.4). Wei Wang (HISKP) CKM angles Buzios, Rio, May / 24

8 Development: New Measurements + New Channels + New Effects Wei Wang (HISKP) CKM angles Buzios, Rio, May / 24

9 New measurements of α/ϕ 2 : cf talk by Pit VANHOEFER in this conference New measurements of β/ϕ 1 : cf talk by Riccardo DE SANGRO in this conference New measurements of γ/ϕ 3 : cf talk by Matteo RAMA, Till Moritz KARBACH in this conference We shall do everything to reduce the errors. Wei Wang (HISKP) CKM angles Buzios, Rio, May / 24

10 New Channels Wei Wang (HISKP) CKM angles Buzios, Rio, May / 24

11 γ = ϕ 3 constraint via B DK Principle Methods and Reference D 0 or D 0 CP eigenstate GLW PLB 253, 483 (1991) PLB265,172(1991) Enhance CP asymmetry by ADS, PRL78,3357(1997) suppressed D decay PRD63,036005(2001) Dalitz distribution in three- GGSZ, PRD68,054018(2003) body D decay (K S π + π, etc) Very clean weak phase information Wei Wang (HISKP) CKM angles Buzios, Rio, May / 24

12 γ from B DK0,2 in GLW method In B D CP K, sensitive to a small ratio of interfering amplitudes. 2A(B + D 0 ±K + ) = A(B + D 0 K + ) ± A(B + D 0 K + ), 2A(B D 0 ±K ) = A(B D 0 K ) ± A(B D 0 K ), Vanishing decay constant for K 0,2 : K 0 (1430) sγµ u 0 = f K 0 p µ K 0 0, K 2 (1430) sγµ u 0 = 0. Color-allowed and color-suppressed amplitudes are comparable in B DK 0,2! Wei Wang (HISKP) CKM angles Buzios, Rio, May / 24

13 γ from B DK0,2 in GLW method K R 0 CP K R 0 CP K R 0 CP Γ a Γ c Γ e K A 0 CP K A 0 CP K A 0 CP Γ b Γ d Γ f Large CP asymmetries are expected in B DK 0,2. Even better in B Dπ counterpart. WW, Wei Wang (HISKP) CKM angles Buzios, Rio, May / 24

14 Determining γ via Three-body B K KK and B Kππ: Solution Fit 1 Fit 2 Fit 3 I ± II ± 3 III ± IV 314 ± ± Bhattacharya, Imbeault, London, Based on SU(3) symmetry analysis of the Dalitz plot. cf David LONDON s talk in this conference Wei Wang (HISKP) CKM angles Buzios, Rio, May / 24

15 Determining γ via Three-body B K KK and B Kππ: Solution Fit 1 Fit 2 Fit 3 I ± II ± 3 III ± IV 314 ± ± Bhattacharya, Imbeault, London, Based on SU(3) symmetry analysis of the Dalitz plot. cf David LONDON s talk in this conference α + β + γ = (187 ± 5.6) Wei Wang (HISKP) CKM angles Buzios, Rio, May / 24

16 New Effects Wei Wang (HISKP) CKM angles Buzios, Rio, May / 24

17 CPA effects on γ Large CPA in D 0 (K + K, π + π ) was observed by LHCb, CDF and Belle (2011, 2012): 0.02 dir a CP A CP BaBar A CP Belle Prelim. A CP LHCb A CP CDF Prelim. A Γ LHCb A Γ BaBar Prelim. A Γ Belle Prelim ind a CP a dir CP = a K+ K,dir CP a π+ π,dir CP = ( ± 0.147)% Wei Wang (HISKP) CKM angles Buzios, Rio, May / 24

18 CPA effects on γ Large CPA in D 0 (K + K, π + π ) was observed by LHCb, CDF and Belle (2011, 2012): 0.02 dir a CP A CP BaBar A CP Belle Prelim. A CP LHCb A CP CDF Prelim. A Γ LHCb A Γ BaBar Prelim. A Γ Belle Prelim ind a CP a dir CP = a K+ K,dir CP a π+ π,dir CP = ( ± 0.147)% Question: How large is the impact on the extraction of γ if A CP O(0.1 1%)? Wei Wang (HISKP) CKM angles Buzios, Rio, May / 24

19 CPA effects on γ Large CPA in D 0 (K + K, π + π ) was observed by LHCb, CDF and Belle (2011, 2012): 0.02 dir a CP A CP BaBar A CP Belle Prelim. A CP LHCb A CP CDF Prelim. A Γ LHCb A Γ BaBar Prelim. A Γ Belle Prelim ind a CP a dir CP = a K+ K,dir CP a π+ π,dir CP = ( ± 0.147)% Question: How large is the impact on the extraction of γ if A CP O(0.1 1%)? Warning: Large CPA is not confirmed by the recent LHCb measurement: ; LHCb-CONF Wei Wang (HISKP) CKM angles Buzios, Rio, May / 24

20 CPA effects on γ in GLW method A(D 0 f ) = T f D (1 + rf D e iγ+iδf D ), A( D 0 f ) = T f D (1 + rf D eiγ+iδf D ), A K + = B(B D 0 + K ) B(B + D 0 + K+ ) B(B D 0 + K ) + B(B + D 0 + K+ ) [ 1 = R K (1 (r K B )2 )A dir CP (D0 f ) + 2rK B (1 + (rf D )2 ) sin δb K sin γ ] (r f D )2 + 2r f D cos δf D cos γ 2r K B sin δk B sin γ eff /R K +. (1) γ γ eff γ = O(A dir CP /rk B ) a few degrees! WW, ; Martone, Zupan, ; Bhattacharya, London, Gronau, Rosner, Wei Wang (HISKP) CKM angles Buzios, Rio, May / 24

21 CPA effects on γ The direct CP asymmetry effects in R + : R K + = 2 B(B D 0 + K ) + B(B + D 0 + K+ ) B(B D 0 K ) + B(B + D 0 K + ) = 1 + (r K B )2 + 2rK B cos δ B[(1 + (r f D )2 ) cos γ + 2r f D cos δf D ] 1 + (r f D )2 + 2r f D cos γ cos δf D 1 + (r K B )2 + 2r K B cos δk B cos γ eff (2) Γ Depending on the strong phase difference in D K + K /π + π decays, the shift of γ can reach 0.5! A CP Wei Wang (HISKP) CKM angles Buzios, Rio, May / 24

22 CPA effects on γ in B DK (D K S π + π ) Dalitz plot analysis Resonance Contribution to γ bias ( ) Amplitude Phase CF K (892) ± ± 2.09 CF K0 (1430) 0.05 ± ± 0.35 CF K2 (1430) ± ± 0.07 CF K (1410) ± ± 0.37 ρ(770) ± ± 0.97 ω 0.32 ± ± 0.36 f 0 (980) 0.02 ± ± 0.38 f 2 (1270) 0.09 ± ± 0.09 f 0 (1370) 0.09 ± ± 0.26 ρ(1450) 0.02 ± ± 0.22 σ ± ± 0.62 σ ± ± 0.56 DCS K (892) 0.04 ± ± 0.15 DCS K0 (1430) ± ± 0.21 DCS K2 (1430) 0.30 ± ± 0.04 Total 2.65 ± 3.17 Bondar, Dolgov, Poluektov, Vorobiev, arxiv: CP violating contributions in D K S π + π decay to the γ measurement bias Wei Wang (HISKP) CKM angles Buzios, Rio, May / 24

23 CPA effects on γ in B DK (D K S π + π ) Dalitz plot analysis Resonance Contribution to γ bias ( ) Amplitude Phase CF K (892) ± ± 2.09 CF K0 (1430) 0.05 ± ± 0.35 CF K2 (1430) ± ± 0.07 CF K (1410) ± ± 0.37 ρ(770) ± ± 0.97 ω 0.32 ± ± 0.36 f 0 (980) 0.02 ± ± 0.38 f 2 (1270) 0.09 ± ± 0.09 f 0 (1370) 0.09 ± ± 0.26 ρ(1450) 0.02 ± ± 0.22 σ ± ± 0.62 σ ± ± 0.56 DCS K (892) 0.04 ± ± 0.15 DCS K0 (1430) ± ± 0.21 DCS K2 (1430) 0.30 ± ± 0.04 Total 2.65 ± 3.17 Bondar, Dolgov, Poluektov, Vorobiev, arxiv: CP violating contributions in D K S π + π decay to the γ measurement bias Wei Wang (HISKP) CKM angles Buzios, Rio, May / 24

24 ϕ s CKM ansatz: CPV is due to a complex phase in the quark mixing matrix _ Bs-Bs mixing _ Bs _ s b V* ts w _ t t w _ b s Bs mixing induced CP violation Bs A Bs A! "# s=arg[ VtsVtb*/VcsVcb*] = Bs A Bs! "# A Wei Wang (HISKP) CKM angles Buzios, Rio, May / 24

25 ϕ s from B s J/ψϕ B s (B s ) J/ψ(µ+µ-) φ(k+k-) can proceed directly or through mixing B s 0 B s 0 Angular analysis to disentangle different CP-eigenstates Wei Wang (HISKP) CKM angles Buzios, Rio, May / 24

26 ϕ s from B s J/ψϕ SM :φ s = 2β s = 0.04 LHCb :φ s = 0.15± 0.18± 0.06 ] -1 Γ s [ ps LHCb best fit 68% CL 90% CL 95% CL Standard Model LHCb arxiv: Penguin pollutions? φ s Wei Wang (HISKP) CKM angles Buzios, Rio, May / 24 [rad]

27 ϕ s from B s J/ψϕ 4φ s! j λ j j q A i = η i i λ j j i e iφ j i p A i X.Liu, WW, Y.H. Xie, in preparation. Bhattacharya, A. Datta, D. London Wei Wang (HISKP) CKM angles Buzios, Rio, May / 24

28 Conclusions New measurements are reducing the errors and soon we will be able to test the unitarity of CKM: α + β + γ = 180? :: (179.3 ± 10.4). New Channels can provide complementary power and useful to increase the statistical significance. There are always something unexpected! Thank you for your attention! Wei Wang (HISKP) CKM angles Buzios, Rio, May / 24

29 Backup: STOP Wei Wang (HISKP) CKM angles Buzios, Rio, May / 24

30 ϕ s from B s J/ψϕ Wei Wang (HISKP) CKM angles Buzios, Rio, May / 24