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Measurement of the weak phase γ. K.Akiba – UFRJ On behalf of the LHCb Collaboration. CP Violation and CKM. CKM mixing matrix Mass Weak eigenstates Unitary Complex CP Violation. Wolfenstein parametrization. Unitarity. CP Violation and CKM. CKM mixing matrix
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Measurement of the weak phase γ K.Akiba – UFRJ On behalf of the LHCb Collaboration
CP Violation and CKM • CKM mixing matrix • MassWeak eigenstates • Unitary • Complex CP Violation Wolfensteinparametrization Unitarity Kazu Akiba
CP Violation and CKM • CKM mixing matrix • MassWeak eigenstates • Unitary • Complex CP Violation α Wolfensteinparametrization γ β Unitarity Kazu Akiba
Standard CP Violation Unitarity Triangle Constrained by all the CKM related measurements CKMfitter Group (J. Charles et al.), Eur. Phys. J. C41, 1-131 (2005) Kazu Akiba
The importance of γ Least precisely measured of the angles.(|Vub|<< 1) Direct measurements: 66 ± 12 ° (CKM Fitter 2012) (-100.8 or 79.1) ± 9.2 °(UTFit post-Moriond 2012) Kazu Akiba
How to measure γ • It’s a phase Interference. • Needs bu transitions; Rare. • Mainly 2 methods with tree level diagrams. • Time independent: B(u,d) D(*)K(*) • Time dependent: BsDsK • Requirements: • A large sample of B mesons • An excellent K / p identification • Precise vertex reconstruction (time meas. And BG suppr.) Kazu Akiba
The LHCb Experiment RICH2 TT Si Outer Tracker straw Tubes ECAL HCAL Magnet Zoom in the vertex region VELO&PU Si Open during injection Closes for physics Muon MWPCGEM Inner Tracker Si + Trigger Hard & Soft RICH1 Large Hadron Collider beauty Experiment for CP violation and Rare B Decays. KazuAkiba 7
BD0K : Time independent γ (+ππ) → f • Where f can be: Kπ, KK, ππ, Kπππ, Ksππ, KsKK, Kππ0 … → f (+ππ) → f Kazu Akiba
Gronau, London, Wyler (GLW) [Phys. Lett. B 253, 483 (1991), Phys. Lett. B 265, 172 (1991)] • Interference with D on a CP eigenstate: f = h+ h- ,rD=1 • Summarized in 2 observables, but 3 unknowns: • Similarly, B0 and K*0 can be used. Kazu Akiba
Attwood, Dunietz, Soni (ADS) Phys.Rev.Lett. 78 (1997) 3257, axiv:hep-ph/9612433 • Interference with D through Cabibbofavoured and supressed modes: f = K+π- , rD≈ 0.06 (rD=Γ(D0->K+π-)/Γ(D0->K-π+)) • Need external input on δDKπ and rD. • Combined with GLW can provide a measurement of γ Kazu Akiba
LHCb Results B(KK)D h (GLW) BDK , BDπ, BDh+BG, ΛbΛc h (dashed) Difference in reconstructed candidates for different B charges Mis-ID πK Mis-ID Kπ ACP+ = 0.145±0.032±0.010 Kazu Akiba Phys. Lett. B Vol 712, Issue 3, 2012,, 203–212
LHCb Results B(ππ)D h (GLW) BDK , BDπ, BDh+BG, ΛbΛc h (dashed) Difference in reconstructed candidates for different B charges Mis-ID πK Mis-ID Kπ RCP+ = 1.07±0.038±0.012 Kazu Akiba Phys. Lett. B Vol 712, Issue 3, 2012,, 203–212
LHCb Results B(hh')D h (ADS) BDK , BDπ, BDh+BG, ΛbΛc h (dashed) Favoured modes Difference in reconstructed candidates for different B charges Mis-ID πK Mis-ID Kπ AADS(π)= (0.143±0.062±0.011) AADS(K)= (-0.52±0.15±0.02) Kazu Akiba Phys. Lett. B Vol 712, Issue 3, 2012,, 203–212
LHCb Results B(h'h)D h (ADS) RADS(K)= (1.52±0.20±0.04)% Suppressed modes B( B±→[π±K+]DK± ) ≈ (2.2 ± 0.3)×10−7 (10 σ) observation Bs->D0Kπ Mis-ID Kπ Mis-ID πK RADS(π) = (0.410±0.025±0.005)% 2σ higher than previous measurements Phys. Lett. B Vol 712, Issue 3, 2012,, 203–212 Kazu Akiba
Global picture ADS/GLW (Kπ)Dπ B Factories still dominate most of the results but LHCb comes in with most precise measurements… Kazu Akiba
Global picture ADS/GLW (Kπ)DK B Factories still dominate most of the results but LHCb comes in with most precise measurements… Kazu Akiba
Global picture ADS/GLW (hh)DK B Factories still dominate most of the results but LHCb comes in with most precise measurements… Kazu Akiba
Giri, Grossman, Soffer, Zupan (GGSZ) Phys.Rev. D68 (2003) 054018, arXiv:hep-ph/0303187 • Uses the same kind of interference but with a three-body final state B (Ks π π)DKand perform a Dalitz Analysis • Complementary to the previous methods, gives independent information on rB,δBγ. • No results fromLHCb just yet… Kazu Akiba
Effects on γ • ADS/GLW do not provide unambiguous solution to γ • The precision of the newest measurements does not translate directly to precision on γ. • LHCb gives more precise constraints on rB Kazu Akiba
BsDsK: Time dependent γ • The Two diagrams interfere directly through the same final state time dependent analysis reveals γ-φs , where φsis the phase in the mixing. • Requires a good proper time calibration and tagging (BsDsπ). • Method unique to LHCb! Kazu Akiba
BsDsK: towards a γ measurement • Good proper time resolution • ~50 ps (measured with Dsπ) • Well controlled tagging • εD2 = (3.2 ±0.8) % (OS only) • More from SST. • Milestones measurements • Δms = 17.63 ±0.11 ± 0.02 1/ps[arXiv:1112.4311]) • BF (Bs DsK) = (1.90 ±0.12(stat) ±0.13 (sys)+0.12-0.14 (fd/fs) ) [arXiv:1204.1237] • Basic ingredients ate there: • Time dependent analysis • Flavour tagging • Reconstruction and PID. Kazu Akiba
Conclusions • Decays of BDh offer a rich programme to measure the CKM phase γ. • Main decay modes already measured • 10 σ observation of suppressed ADS modes • 5.8 σ measurements of CP violation B->DK modes combined • More and unique analyses to come • B0->D0K*0 modes to offer more information on GLW+ADS • Time dependent BsDsKway to measure γ • Multiple methods in LHCb can be combined for a best precision on γ! Kazu Akiba