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Flavour specific asymmetry from untagged B samples. Paul Szczypka. Outline. Aim Theory background a fs from untagged decays Current Status Problems Next Steps Summary. Aim. Looking at semileptonic decays: Measure CP violation in mixing from an untagged sample of Bs mesons
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Flavour specific asymmetry from untagged B samples Paul Szczypka
Outline • Aim • Theory background • afs from untagged decays • Current Status • Problems • Next Steps • Summary
Aim • Looking at semileptonic decays: • Measure CP violation in mixing from an untagged sample of Bs mesons • If the measurement is possible, then put limits on the number of events required to rule out new physics in CP mixing.
Theory 1 Time evolution of system governed by Sch. Eqn. Where denotes the state of a meson produced as a Bsat time t = 0, similarly for . Off-diagonal elements and correspond to mixing.
Theory 2 The leading contributions to M12 and Γ12 come from this box diagram: Γ12 dominated by tree-level decays – insensitive to new physics M12 induced by short–distance physics top quarks give dominant contribution to mixing but it is suppressed by four powers of weak coupling and two powers of |Vts| (≈ 0.04) Suspect that new physics could easily compete with SM and possibly dominate M21
Basics • afs is the CP asymmetry in flavour specific B decays • SM expectation: afs ~ 2x10-5 • New physics could increase the value of afs by a factor of 200 • afsNP ~ 0.04
Asymmetry from untagged decays Using: and We find: and ε initial prod asym. For: and Time integrated asymmetry is useful too:
Toy MC Model 1 • Decide to use a toy Monte Carlo to study the feasibility of measuring large afs from an untagged Bs sample. • MC creates individual events (all flavour combinations). • Produce and by sorting events according to the flavour of the final state. • Attempt to extract MC parameters → perform a fit on your data.
Toy MC model 2 Settings: Γ = 0.684 ps-1 ΔΓ = 0.3 ps-1; Δm = 17.5 ps-1; a = 0.005; P = 0.01
Fitting to the Data • A simultaneous fit is performed on the and distributions. Fit Results (10k events): FCN= 21497.03 FROM MIGRAD STATUS=CONVERGED 369 CALLS 371 TOTAL EDM= 0.33E-05 STRATEGY= 1 ERROR MATRIX ACCURATE EXT PARAMETER STEP FIRST NO. NAME VALUE ERROR SIZE DERIVATIVE 1 Gamma 0.68138 0.26567E-01 0.36203E-03 -0.64668E-01 2 Delta gamm 0.26088 0.74920E-01 0.17515E-02 -0.38640E-02 3 m_s 19.472 0.40316 0.28785E-01 0.54900E-02 4 Prod asymm 0.40366E-01 0.49775E-01 0.29814E-02 -0.13623E-01 5 CP mixing 0.48716E-02 0.27917E-01 0.16732E-02 0.20190E-01 Γ = 0.684 ps-1; ΔΓ = 0.3 ps-1; Δm = 17.5 ps-1; P = 0.01; a = 0.005
Current problems: • MiGrad fails to converge for large N (1M here). FCN= 2168081. FROM MIGRAD STATUS=FAILED 570 CALLS 572 TOTAL EDM= 0.18E+03 STRATEGY=1 ERROR MATRIX UNCERTAINTY=100.0% EXT PARAMETER APPROXIMATE STEP FIRST NO. NAME VALUE ERROR SIZE DERIVATIVE 1 Gamma 0.68353 0.29223E-02 0.0000 2.2954 2 Delta gamm 0.29824 0.76030E-02 0.0000 0.65238E-01 3 m_s-5445.5 0.46437 0.0000 0.38898 4 Prod asymm 0.14443E-01 0.51768E-02 0.0000 15.521 5 CP mixing 0.69178E-02 0.27369E-02 0.0000 33.233 EXTERNAL ERROR MATRIX. NDIM= 50 NPAR= 5 ERR DEF= 1.00 0.854E-05 0.213E-04-0.259E-05-0.153E-07-0.282E-08 0.213E-04 0.578E-04-0.740E-05-0.364E-07-0.304E-08 -0.259E-05-0.740E-05 0.216E+00-0.176E-04 0.497E-04 -0.153E-07-0.364E-07-0.176E-04 0.268E-04 0.733E-05 -0.282E-08-0.304E-08 0.497E-04 0.733E-05 0.749E-05 ERR MATRIX APPROXIMATE PARAMETER CORRELATION COEFFICIENTS NO. GLOBAL 1 2 3 4 5 1 0.95732 1.000 0.957-0.002-0.001 0.000 2 0.95732 0.957 1.000-0.002-0.001 0.000 3 0.05070 -0.002-0.002 1.000-0.007 0.039 4 0.51825 -0.001-0.001-0.007 1.000 0.518 5 0.51929 0.000 0.000 0.039 0.518 1.000
Next steps • Understand fit behaviour • Put limits on the number of events required to see new physics for this measurement. • Add detector efficiencies, e.g. time resolution of channels Example proper time resolution (CDF): <σ> = 44.6 μm/c → proper time resolution ~0.15 ps (Not great – ocsillation freq. = 0.36 ps)
Summary • afs can be extracted from a sample of untagged Bs mesons in two ways: • time dependant: fit to data • time independent: simple counting of decay states • Need to understand the fitting behaviour. • Add proper time resolution (smearing) to MC data. • Work is ongoing.