Measurement of CP Violation in Bs → J/ψφ at CDF Michal Kreps for the CDF collaboration Physics Department 0.6 0.4 L = 1.35 fb-1 95% C.L. 68% C.L. SM prediction ⇒ 0.2 0.0 -0.2 -0.4 ∆Γ (ps-1) ∆Γ (ps-1) CDF Run II Preliminary 0.6 CDF Run II Preliminary SM prediction 95% C.L. 68% C.L. L = 2.8 fb-1 0.4 ⇒ ? 0.2 0.0 -0.2 -0.4 New Physics -0.6 -0.6 -1 0 1 βs (rad) -1 0 1 βs (rad) www2.warwick.ac.uk Discovery of CP violation Neutral kaon puzzle in late 1950s Two particles (K1 , K2 ) with same mass, but different lifetime and different decay mode K2 is CP odd and if CP is conserved can decay only to 3 π Observation of K2 → π + π − in 1964 by Cronin and Fitch ⇔ CP is not conserved 2 18 March 2011 Michal Kreps – Measurement of CP Violation in Bs →J/ψφ at CDF Explaining CP violation Observation by Cronin and Fitch requires ≈ 10−3 admixture of wrong CP state in wave function In 1973 Kobayashi and Maskawa concludes that No reasonable way to include CP violation in model with 4 quarks Introduction of CP violation needs new particles One of the suggested ways uses 6 quark model CP violation ⇔ complex phase in quark mixing (CKM) matrix 2 3 Vud Vus Vub 1 − λ /2 λ Aλ (ρ − i η ) 2 2 = V V V −λ 1 − λ / 2 A λ cd cs cb Vtd Vts Vtb Aλ3 (1 − ρ − i η ) − A λ2 1 Nobel prize in 2008 3 18 March 2011 Michal Kreps – Measurement of CP Violation in Bs →J/ψφ at CDF Implications When Kobayashi and Maskawa proposed their explanations, only 3 quarks were known (a) Combined 1 0.5 0 0 -1 − (b) (cc)K S (ξf = −1) 0 -0.5 -1 1 0.5 -1 0 (c) J/ψKL (ξf = +1) -0.5 1 -1 0 -5 -1 ln(L/Lmax) Since then many measurements performed to check idea 1 Asymmetry In 2001 Belle and Babar experiments observe large CP violation in B 0 decay BABAR 1 Asymmetry Start of dedicated B physics experiments sin2φ1 . sin(∆md∆t) The six quark model had several implications: Existence of another 3 quarks to be seen by experiment In 1980/1981 several people predicted large CP violation in B system (d) Non-CP sample 1 0 5 ∆t (ps) 0 -1 -2 -3 0 -4 -1 -1 0 1 2 sin2β -8 4 18 March 2011 -4 0 ∆t (ps) 4 8 Michal Kreps – Measurement of CP Violation in Bs →J/ψφ at CDF Global status VCKM 1 − λ2 /2 λ Aλ3 (ρ − i η ) 2 2 = −λ 1 − λ /2 Aλ Aλ3 (1 − ρ − i η ) − A λ2 1 exc 1.5 lude excluded area has CL > 0.95 t CL da γ >0 ∆md & ∆ms .95 1.0 sin 2β 0.5 ∆md η εK 0.0 -0.5 α β γ α Vub Vub SL α τν εK -1.0 CKM γ fitter ICHEP 10 -1.5 -1.0 -0.5 0.0 sol. w/ cos 2β < 0 (excl. at CL > 0.95) 0.5 ρ 5 18 March 2011 Michal Kreps – Measurement of CP Violation in Bs →J/ψφ at CDF 1.0 1.5 2.0 Are we done? Does not look to be case Many unanswered questions SM has many free parameters What is the meaning of generation, why we need more than one? What is the origin of dark matter and dark energy? How current matter-antimatter asymmetry is generated? No baryon number violation in SM CP violation in SM is many order of magnitude too small In SM cannot generate needed phase transition SM is probably just low energy approximation of final big theory of everything 6 18 March 2011 Michal Kreps – Measurement of CP Violation in Bs →J/ψφ at CDF Role of flavor physics Several extensions of SM exists, each postulating new particles Some examples Fourth generation introduces two additional quark, VCKM is changed to 4 × 4 matrix Supersymmetry has partner for each SM particle In supersymmetry squarks/sleptons mix through 3 × 3 matrix 2 2 2 m11 m12 m13 2 2 2 m m m 21 23 22 2 2 2 m33 m32 m31 Looking for indirect effects of new physics to discover it If new physics is discovered, understand which model is right one 7 18 March 2011 Michal Kreps – Measurement of CP Violation in Bs →J/ψφ at CDF CPV in Bs → J/ψφ Vud Vcd Vtd Vus Vub 1 − λ2 /2 λ Aλ3 (ρ − i η ) 2 2 Vcs Vcb = −λ 1 − λ /2 Aλ Vts Vtb Aλ3 (1 − ρ − i η ) − A λ2 1 Vts known from unitarity Need to check also by experiment Best testing ground is decay Bs → J/ψφ t, c, u s c b W+ b̄ s s̄ c c̄ s W− t̄, c̄, ū s s̄ b̄ c̄ New physics in mixing can have large effect on CP violation Search for large CP violation in Bs → J/ψφ 8 18 March 2011 Michal Kreps – Measurement of CP Violation in Bs →J/ψφ at CDF Sidenote on phases Bs system is described by equation 0 ! Bs (t) i d = M− Γ i dt B̄s0 (t) 2 0 ! Bs (t) 0 B̄s (t) Box diagram of mixing give rise to M12 and Γ12 Interesting quantities and relation to observables: SM ∆Ms = 2|M12,s | · |∆s | ∆ , in SM φ = (4.2 ± 1.4) · 10−3 φs = arg(−M12 /Γ12 ) = φSM + φ s s s ∆ ∆Γs = 2|Γ12,s | · cos φSM s + φs CP Violation in Bs → J/ψφ measures J /Ψφ SM NP φs = −2βs + φ∆ + δ + δ s Peng. Peng. ∗ in SM 2βs = 2 arg(−Vts Vtb∗ /Vcs Vcb ) ≈ 0.04 With current CDF precision we really test presence of large φ∆ s 9 18 March 2011 Michal Kreps – Measurement of CP Violation in Bs →J/ψφ at CDF Analysis logic Principle is to measure time dependent asymmetry of CP eigenstate A= N(B, t) − N(B, t) N(B, t) + N(B, t) We need to find in data Bs → J/ψφ decays Measure decay time Find out whether it was produced as B or B K l K Bq 10 18 March 2011 Bs µ− µ+ K− K+ Michal Kreps – Measurement of CP Violation in Bs →J/ψφ at CDF Likelihood anatomy Signal PDF for single tag 1 + ξD P(t, ρ~|σt )(ρ~) Ps (t, ρ~, ξ|D, σt ) = 2 1 − ξD + P̄(t, ρ~|σt )(ρ~) 2 ξ = −1, 0, 1 is tagging decision D is event-specific dilution (ρ ~) - acceptance function in angular space P(t, ρ~|σt ) (P̄(t, ρ~|σt )) is PDF for Bs (B s ) 11 18 March 2011 Michal Kreps – Measurement of CP Violation in Bs →J/ψφ at CDF Likelihood anatomy d 4 P(t, ρ~) ∝ |A0 |2 T+ f1 (ρ ~) + |Ak |2 T+ f2 (ρ ~) + |A⊥ |2 T− f3 (ρ ~) dtd ρ~ + |Ak ||A⊥ |U± f4 (ρ~) + |A0 ||Ak | cos(δk )T+ f5 (ρ~) + |A0 ||A⊥ |V± f6 (ρ~) T± = e−Γt U± = ±e−Γt V± = ±e−Γt 12 18 March 2011 × [cosh(∆Γt /2) ∓ cos(2βs ) sinh(∆Γt /2) ∓ η sin(2βs ) sin(∆ms t)] , × sin(δ⊥ − δk ) cos(∆ms t) − cos(δ⊥ − δk ) cos(2βs ) sin(∆ms t) ± cos(δ⊥ − δk ) sin(2βs ) sinh(∆Γt /2) , × [sin(δ⊥ ) cos(∆ms t) − cos(δ⊥ ) cos(2βs ) sin(∆ms t) ± cos(δ⊥ ) sin(2βs ) sinh(∆Γt /2)] . Michal Kreps – Measurement of CP Violation in Bs →J/ψφ at CDF Issue of s-wave We reconstruct Bs → J/ψφ with φ → K + K − But wide resonance f0 (980) can also decay to K + K − and Bs → J/ψ K + K − is also possible (called s-wave) There are arguments that s-wave can be large Stone et al, PRD79, 07024 (2009) predicts B(Bs → J/ψ f0 (980))B(f0 (980) → ππ ) R= ' 0.2 − 0.3 B(Bs → J/ψφ)B(φ → KK ) S-wave can contribute to reconstructed signal It is CP-odd eigenstate with its own angular and time dependence Sizeable contribution which is not accounted for can bias result ⇒ Account for it in the likelihood 13 18 March 2011 Michal Kreps – Measurement of CP Violation in Bs →J/ψφ at CDF Decay Bs → J/ψ f0(980) observed 40 Events/(5 MeV) Decay Bs → J/ψ f0 (980) observed independently by three experiments Measured R is about 0.25-0.29 35 LHCb s = 7 TeV Data (a) 30 25 20 15 10 5 Events/(5 MeV) 0 5200 5300 5400 5500 5300 5400 5500 m(µ+µ-π+π-) (MeV) 20 (b) 15 10 5 0 5200 m(µ+µ-π+- π+-) (MeV) L=3.8 fb-1 CDF Run 2 Preliminary Candidates per 5 MeV/c2 Events/(20 MeV/c2) We don’t use this information in current version of the analysis 12 10 Belle 8 6 4 2 00.2 14 18 March 2011 200 Data 180 Fit 160 Background 140 120 100 80 60 40 20 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2 2 Mππ (GeV/c ) 0 5.30 Michal Kreps – Measurement of CP Violation in Bs →J/ψφ at CDF 5.35 5.40 5.45 5.50 M(J/ψππ) [GeV/c2] Treatment of s-wave Add amplitude for s-wave ⇔ four angular terms (amplitude2 + 3 interference terms) S-wave amplitude is pure CP-odd eigenstate with its own angular dependence Strong phases vary over resonance ⇒ Need to start with K + K − mass included Relativistic Breit-Wigner propagator for p-wave Constant for s-wave Keep K + K − mass as unobserved ⇔ integrate over it Interference between p-wave and s-wave could break last symmetry Full math spelled out in arXiv:1008.4283 15 18 March 2011 Michal Kreps – Measurement of CP Violation in Bs →J/ψφ at CDF Previous results 0.6 0.4 L = 1.35 fb-1 95% C.L. 68% C.L. SM prediction ∆Γ (ps-1) ∆Γ (ps-1) CDF Run II Preliminary CDF 1.35 fb−1 p-value = 15% 0.2 0.6 CDF Run II Preliminary SM prediction 95% C.L. 68% C.L. L = 2.8 fb-1 0.4 0.2 0.0 0.0 -0.2 fb−1 CDF 2.8 p-value = 7% -0.4 -0.6 -1 0 1 βs (rad) -0.2 -0.4 New Physics -0.6 -1 0 1 βs (rad) CDF 2.8 fb−1 + DØ 2.8 fb−1 p-value = 3.4% What next? 16 18 March 2011 Michal Kreps – Measurement of CP Violation in Bs →J/ψφ at CDF Tevatron and CDF experiment √ pp collisions at s = 1.96 TeV Peak luminosity ≈ 3.5 − 3.8 · 1032 cm−2 s−1 Collected about ≈ 7fb−1 -1 CDF Acquired Luminosity (pb ) 2000 1750 1500 2010 1250 2009 1000 750 2008 2007 2005 500 2006 2004 250 0 0 17 18 March 2011 50 100 Michal Kreps – Measurement of CP Violation in Bs →J/ψφ at CDF 150 200 2003 2002 2001 250 300 350 Day Selection Candidates per 0.02 Latest analysis uses 5.2 fb−1 Events selected using dimuon trigger Typical event has few dozens tracks ⇒ lot of background Neural network to select interesting events 0.140 0.135 CDF Simulation Input βs = 0.02 0.130 0.125 0.120 0.115 0.110 -0.5 18 18 March 2011 0.0 0.5 1.0 Neural Network Cut Signal Background 105 104 103 -1.0 -0.5 0.0 0.5 1.0 Network output CDF Run II preliminary Candidates per 2 MeV/c2 βs parabolic error Select ≈ 6500 Bs → J/ψφ decays L=5.2 fb-1 CDF Run II Preliminary L = 5.2 fb-1 900 800 700 600 500 400 300 200 100 0 5.28 5.3 5.32 5.34 5.36 5.38 5.4 5.42 5.44 5.46 Michal Kreps – Measurement of CP Violation in Bs →J/ψφ at CDF Mass(J/ψ φ) [GeV/c2] Flavor tagging b SST Bs + K b − K a OST l − b s/d Bs /d s /d u Κ /π u Determination of the flavor at production time Difficult task due to large number of tracks Benefits from PID Calibrated with data 19 18 March 2011 + + Michal Kreps – Measurement of CP Violation in Bs →J/ψφ at CDF OST Calibration Flavor tagging algorithm is characterized by Efficiency Dilution D = 2 · P − 1 Quantity D 2 defines effective statistics Opposite side tagging is independent of studied hadron Effective power of OST is D 2 = 1.2% 51,920 +/- 388 Signal Events 12000 10000 8000 6000 4000 CDF Run II Preliminary 1.5 B+ events Slope = 0.93 ± 0.09 -1 L = 5.2 fb B + 1.0 0.5 0.0 -0.5 2000 0 2.0 5.20 5.25 5.30 5.35 5.40 2 J/ψ K+ invariant mass [GeV/c ] 20 18 March 2011 -1.0 0.0 OST Measured Dilution 14000 OST Measured Dilution 2 entries/(5 MeV/c ) -1 CDF II Preliminary, 5.2 fb 2.0 CDF Run II Preliminary 1.5 B- events Slope = 1.12 ± 0.10 -1 L = 5.2 fb B− 1.0 0.5 0.0 -0.5 0.2 0.4 0.6 0.8 1.0 OST Predicted Dilution -1.0 0.0 Michal Kreps – Measurement of CP Violation in Bs →J/ψφ at CDF 0.2 0.4 0.6 0.8 1.0 OST Predicted Dilution SSKT Calibration SSKT depends on the meson we study Fortunately Bs oscillation is sensitive to quality of tagging 2 Total tagging power D = 3.2 ± 1.4% ∆ms = 17.79 ± 0.07(stat) 21 18 March 2011 -1 CDF Run 2 Preliminary, L = 5.2 fb 400 Data Fit Function Bs → Ds π Bs → Ds K Comb. Backgr. B → Ds X 350 300 250 200 S = 5613 ± 75 150 B = 1070 ± 33 S/B = 5.25 ± 0.17 100 Principle −Nunmix A = NNmix = A · D cos (∆mt) mix +Nunmix In total ≈ 12900 signal events + 2 Candidates per 3 MeV/c Only way to calibrate is to use Bs itself S/ S+B = 68.66 ± 0.70 50 (data - fit) data 0 5.4 5.5 5.6 5.5 5.6 2 0 -2 5.4 Invariant Mass in GeV/c2 -1 CDF Run 2 Preliminary, L = 5.2 fb Amplitude Use decays: Bs → Ds π with Ds → φπ , Ds → K ∗ K and Ds → πππ Bs → Ds πππ with Ds → φπ - - B0s → D-s π+, Ds → φ π , φ → K K- (+ cc) 2.0 1.5 Amplitude A Sensitivity: 37.0 ps-1 1.0 0.5 0.0 -0.5 -1.0 -1.5 10 Michal Kreps – Measurement of CP Violation in Bs →J/ψφ at CDF 20 30 Mixing Frequency in ps-1 Angular efficiencies Derived from large statistics MC Parameterized in three dimensions CP Violation relatively insensitive to exact details Efficiency compares well with angular distributions of combinatorial background CDF Run II Preliminary, L=5.2 fb−1 22 18 March 2011 Michal Kreps – Measurement of CP Violation in Bs →J/ψφ at CDF Lifetime and width difference L = 5.2 fb-1 Distribution for BsL Distribution for BsH Signal mass region events per 50 µm CDF Run II Preliminary Data - signal region Fit Signal Light Heavy Background 103 102 10 1 pull -0.2 -0.1 0 0.1 0.2 4 2 0 -2 -4 Under SM assumption (βs = 0) we measure: c τ = ΓH2+ΓL = 1.529 ± 0.025(stat) ± 0.012(syst) ps ∆Γs = 0.075 ± 0.035(stat) ± 0.01(syst) ps−1 23 18 March 2011 Michal Kreps – Measurement of CP Violation in Bs →J/ψφ at CDF 0.3 ct (J/ψ KK) [cm] Polarization amplitudes |A|| |2 = 0.231 ± 0.014(stat) ± 0.015(syst) |A0 |2 = 0.524 ± 0.013(stat) ± 0.015(syst) φ⊥ = 2.95 ± 0.64(stat) ± 0.07(syst) Data 600 Fit 500 400 300 700 Entries per 0.42 rad Entries per 0.12 rad Signal Entries per 0.12 rad CDF Run II Preliminary, L = 5.2 fb 700 Data 600 Fit 500 400 300 700 600 400 300 200 200 100 100 100 -0.5 0.0 0 -1.0 0.5 cos(ψ) -0.5 0.0 0 0 0.5 cos(θ) Fit 500 200 0 -1.0 Data 2 4 6 φ 4 6 φ Data 700 Fit 600 500 400 Data 700 Fit 600 500 400 800 Data 700 Fit 600 500 400 300 300 300 200 200 200 100 100 100 0 -1.0 24 18 March 2011 800 Entries per 0.42 rad 800 Entries per 0.12 rad Background Entries per 0.12 rad CDF Run II Preliminary, L = 5.2 fb -0.5 0.0 0.5 cos(ψ) 0 -1.0 -0.5 0.0 0.5 cos(θ) Michal Kreps – Measurement of CP Violation in Bs →J/ψφ at CDF 0 0 2 CP Violation SM p-value is 44% SM p-value is 31% Corresponds to 0.8σ Comparable to 2D case ⇔ ∆Γ consistent with SM Significant improvement βs ∈ [0.02, 0.52] ∪ [1.08, 1.55] @ 68% C.L. Strong phases free -1 L = 5.2 fb 18 0.6 95% CL 68% CL 0.4 SM prediction 0.2 -1 L = 5.2 fb 95% CL 16 14 12 68% CL SM prediction 10 8 0.0 -0.2 6 4 -0.4 -0.6 -1 25 18 March 2011 CDF Run II Preliminary 2 ∆ log (L) -1 ∆Γ (ps ) CDF Run II Preliminary 0 βs (rad) 1 2 0 -1 Michal Kreps – Measurement of CP Violation in Bs →J/ψφ at CDF 0 1 βs (rad) Comparison to previous result 0.6 95% CL 68% CL 0.4 SM prediction -1 L = 5.2 fb ∆Γ (ps-1) -1 ∆Γ (ps ) CDF Run II Preliminary 0.2 0.6 CDF Run II Preliminary SM prediction 95% C.L. 68% C.L. L = 2.8 fb-1 0.4 0.2 0.0 0.0 -0.2 -0.2 -0.4 -0.4 New Physics -0.6 -0.6 -1 0 βs (rad) 1 -1 0 1 βs (rad) Concentrate on size of the allowed region Significant improvement compared to our previous result 26 18 March 2011 Michal Kreps – Measurement of CP Violation in Bs →J/ψφ at CDF Size of the adjustment -1 0.6 5.99 2.30 0.4 SM prediction L = 5.2 fb 0.2 0.0 -0.2 L = 5.2 fb 68% CL 1 95% CL 10-1 -0.4 -1 10-2 SM prediction ideal 0 βs (rad) ∆Γ (ps ) -1 95% CL 68% CL 0.6 1 0.4 0.2 0.0 0 5 -0.2 -0.4 -0.6 -1 0 βs (rad) 1 Michal Kreps – Measurement of CP Violation in Bs →J/ψφ at CDF randomized nuisance parameters -0.6 -1 L = 5.2 fb non-Gaussian errors CDF Run II Preliminary 27 18 March 2011 -1 CDF Run II Preliminary 1-CL -1 ∆Γ (ps ) CDF Run II Preliminary 10 15 2∆ln(Lp) S-wave check Q: Is change since last time due to previously omitted s-wave? -1 ∆Γ (ps ) CDF Run II Preliminary A: No, likelihood almost same with s-wave fixed to zero Q: Is the K + K − mass consistent with our fit model? 0.6 S-wave not included 0.4 5.99 S-wave included 2.30 0.2 0.0 -0.2 -0.4 -0.6 L = 3.8 fb-1 data total fit 0 Bs signalProb 0.3225 combinatorial bkg 0 misreconstructed B 4000 3500 3000 2500 2000 1500 1000 2500 3.8 fb-1 CDF Run II Preliminary data total fit combinatorial background 2000 misreconstructed B0 f 0 1500 1 βs (rad) 8 -1 L = 5.2 fb 95% CL 7 6 68% CL 5 4 1000 3 2 500 1 500 0 0 9 CDF Run II Preliminary 2 ∆ log (L) 4500 -1 Candidates per 2 MeV/c2 Candidates per 4 MeV/c2 A: Yes it is CDF Run II Preliminary -1 L = 5.2 fb 5.30 5.35 5.40 5.45 + J/ψ K K Mass (GeV/c2) 28 18 March 2011 0 1.00 1.05 K+K Mass (GeV/c2) 0 0.00 0.02 0.04 0.06 0.08 0.10 S-wave fraction Michal Kreps – Measurement of CP Violation in Bs →J/ψφ at CDF Effect of flavor tagging With tagging of D 2 ≈ 5% we don’t gain lot in precision Main effect in reducing ambiguities Untagged case symmetric under each 2βs → −2βs δ⊥ → δ⊥ + π ∆Γ → −∆Γ 2βs → 2βs − π Tagged symmetry 2βs → π − 2βs ∆Γ → −∆Γ δ|| → 2π − δ|| δ⊥ → π − δ⊥ 29 18 March 2011 Michal Kreps – Measurement of CP Violation in Bs →J/ψφ at CDF Different parts of data 30 18 March 2011 Michal Kreps – Measurement of CP Violation in Bs →J/ψφ at CDF Different parts of data -1 L = 5.2 fb CDF Run II Preliminary -1 L = 5.2 fb 5.99 2.30 0.6 5.99 2.30 0.6 5.99 2.30 0.4 SM prediction 0.4 SM prediction 0.4 SM prediction 0.0 -0.2 -0.4 -0.6 0.2 -1 -1 0.2 ∆Γ (ps ) 0.6 ∆Γ (ps ) -1 ∆Γ (ps ) CDF Run II Preliminary 0.0 -0.2 -0.4 -1 Data 0-1.35 fb S-wave not included -1 30 18 March 2011 0 βs (rad) -0.6 1 0.2 0.0 -0.2 -0.4 -1 Data 1.35-2.8 fb S-wave not included -1 0 βs (rad) -0.6 1 -1 Data 2.8-5.2 fb S-wave not included -1 Michal Kreps – Measurement of CP Violation in Bs →J/ψφ at CDF 0 βs (rad) 1 Conclusions Significantly improved measurement of the CPV in Bs → J/ψφ βs ∈ [0.02, 0.52] ∪ [1.08, 1.55] @ 68% C.L. CDF data now agree on the ≈ 1σ level with SM Best measurement of Mean lifetime Width difference between mass eigenstates Polarization amplitudes -1 ∆Γ (ps ) CDF Run II Preliminary 0.6 95% CL 68% CL 0.4 SM prediction -1 L = 5.2 fb 0.2 0.0 -0.2 -0.4 -0.6 -1 31 18 March 2011 0 βs (rad) 1 Michal Kreps – Measurement of CP Violation in Bs →J/ψφ at CDF Prospects Couple of improvements possible beyond collecting data Include other triggers gives ≈ 25% more statistics Add Bs → ψ (2S)φ Look for Bs → J/ψ f0 (980) with f0 (980) → π + π − Add K + K − mass as fit variable - helps in ambiguity resolution Still collecting data, expect to have ≈ 2 times more by the end of 2011 -1 Luminosity (pb ) 01/04 01/05 01/06 01/07 01/08 01/09 01/10 2000 CDF Acquired Luminosity (pb-1) 01/03 1750 8000 1500 2010 1250 6000 2009 1000 4000 2000 Delivered Acquired 750 2005 500 2006 2004 250 0 1000 2000 3000 4000 5000 6000 7000 8000 store number 32 18 March 2011 2008 2007 0 0 50 2003 2002 2001 100 150 200 250 300 350 Day Michal Kreps – Measurement of CP Violation in Bs →J/ψφ at CDF