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Analysis of Dalitz plot efficiency-corrected data fitting with various resonances and non-resonant terms. Comparison with CLEO data, fit fractions, and fit systematics.
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Preliminary Results ofD0 Dalitz Plot Analysis Kalanand Mishra, G. Mancinelli, Brian Meadows, Mike Sokoloff University of Cincinnati Charm AWG, 6/08/06
Efficiency-corrected Dalitz plot ~ 4 % bkg m2(K-π0) m2(K-K+) m2(K+π0)
CLEO Fit (prelim. result presented at FPCP 2006) • CLEO had 600 events with 33 % background • We have 6800 events with 4 % background • CLEO used only K*(892), and NR terms to fit the data
Data Fit with CLEO PDF Bgd Dalitz HistPdf taken from the mD sideband 1 Nonres_amp 4.80848e+00 8.76759e-02 (5.6 in CLEO results) 2 Nonres_phase 2.45715e+02 1.41802e+00 (220 in CLEO results) 3 K*- amp 5.21620e-01 1.26111e-02 4 K*-_phase -2.51342e+01 2.09421e+00 5 amp 6.03842e-01 1.11649e-02 6 phase -3.30354e+01 2.89297e+00 2 /nDOF = 1.83342
Unlikely to be due to background There isn’t much background According to MC, bgd distributions in SR and SB agree Data and MC agree in the SB
Try adding more resonances (1020) K*(892)+ K*(892)- NR K*(1410)+ K(1410)*- Kappa+ Kappa- P-wave NR(+) P-wave NR(-) P-wave NR(0) K*0(1430)+ K*0(1430)-
Fit with K*,,K*(1410),NR 1 K*-_amp 5.34655e-01 1.32278e-02 2 K*-_phase -4.06080e+01 2.11187e+00 3 K*1410+_amp 1.09557e+00 1.28054e-01 4 K*1410+_phase 7.58229e+01 7.74310e+00 5 K*1410-_amp 3.74850e+00 1.53719e-01 6 K*1410-_phase 1.68160e+02 2.63576e+00 7 Nonres_amp 4.50270e+00 9.32631e-02 8 Nonres_phase 2.45690e+02 1.41985e+00 9 Phi_amp 6.56924e-01 1.16803e-02 10 Phi_phase -1.75363e+00 6.60675e+00 Fit Fractions K*+ : 0.47103 K*1410+ : 0.0093703 Phi : 0.20947 K*- : 0.13922 K*1410- : 0.10983 Nonres : 0.27930 2 /nDOF = 1.27373
Fit with K*,,Kappa,NR 1 K*-_amp 5.78165e-01 1.51450e-02 2 K*-_phase -3.82806e+01 2.16442e+00 3 Kappa+_amp 1.74854e+00 7.81714e-02 4 Kappa+_phase 1.08737e+02 2.47099e+00 5 Kappa-_amp 6.34162e-01 6.16345e-02 6 Kappa-_phase 1.81175e+02 5.98312e+00 7 Nonres_amp 1.35223e+00 1.74128e-01 8 Nonres_phase 2.61373e+02 9.50707e+00 9 Phi_amp 6.61606e-01 1.27883e-02 10 Phi_phase -1.30563e+01 3.31300e+00 Fit Fractions K*+ : 0.42570 Kappa+ : 0.18793 Phi : 0.19202 K*- : 0.14714 Kappa- : 0.024604 Nonres : 0.022766 2 /nDOF = 1.16075
Fit with K*,,Kappa 1 K*-_amp 5.67284e-01 1.67979e-02 2 K*-_phase -2.85278e+01 3.14088e+00 3 K*1410+_amp 1.40631e+00 1.98290e-01 4 K*1410+_phase -1.36251e+02 1.10089e+01 5 K*1410-_amp 1.80088e+00 2.22703e-01 6 K*1410-_phase 1.86569e+02 7.30051e+00 7 Kappa+_amp 1.59545e+00 7.66011e-02 8 Kappa+_phase 1.03981e+02 9 Kappa-_amp 1.45629e+00 8.35726e-02 10 Kappa-_phase 1.74038e+02 3.38783e+00 11 Phi_amp 6.79556e-01 1.32970e-02 12 Phi_phase -3.64808e-01 4.68143e+00 Fit Fractions K*+ : 0.43209 Kappa+ : 0.15881 K*(1410)+ : 0.014163 Phi : 0.20563 K*- : 0.14378 Kappa- : 0.13169 K*(1410)- : 0.023254 2 /nDOF = 1.35428
Try including p-wave NR 1 K*-_amp 6.13060e-01 1.98369e-02 2 K*-_phase -4.28001e+01 3.65266e+00 3 K*1410+_amp 3.46743e+00 4.76307e-01 4 K*1410+_phase 3.99550e+01 8.05654e+00 5 K*1410-_amp 2.67283e+00 4.14485e-01 6 K*1410-_phase 1.65986e+02 1.19152e+01 7 Kappa+_amp 7.30570e-01 2.10914e-01 8 Kappa+_phase 8.81885e+01 1.80236e+01 9 Kappa-_amp 6.05465e-01 1.68914e-01 10 Kappa-_phase 1.08270e+02 2.16174e+01 11 NRPW_P_amp 4.88345e+00 1.64838e+00 12 NRPW_P_phase 8.97154e+01 2.37566e+01 13 NRPW_M_amp -4.66088e+00 1.66335e+00 14 NRPW_M_phase -1.02777e+02 2.27370e+01 15 NRPW_0_amp 1.23893e+01 2.76792e+00 16 NRPW_0_phase 7.53007e+01 1.38116e+01 17 Nonres_amp 2.60086e+00 2.58137e-01 18 Nonres_phase 2.80830e+02 7.04073e+00 19 Phi_amp 6.49647e-01 1.52032e-02 20 Phi_phase 7.74845e+01 7.16402e+00 Fit Fractions K*+ : 0.45507 K*1410+ : 0.090682 Kappa+ : 0.035070 P-wave NR+ : 0.15697 Phi : 0.19792 P-wave NR0 : 0.63210 K*- : 0.17685 K*1410- : 0.053947 Kappa- : 0.023975 P-wave NR- : 0.14484 Nonres : 0.090031 2 /nDOF = 1.00708
Fit with everything (except p-wave NR) 2 /nDOF = 1.23258
Fit with everything Data Fit (Data-Fit)/Poisson
Fit results FIT FRACTIONS: 1) K*+ : 0.43829 2) K*1410+ : 0.0080731 3) Phi : 0.20659 C 4) K*- : 0.14706 5) K*1410- : 0.072727 6) Nonres : 0.11089 7) Kappa+ : 0.093925 8) Kappa- : 0.014235 NO. NAME VALUE ERROR 1 K*- amp 5.69656e-01 1.79456e-02 2 K*- phase -4.56731e+01 3.58554e+00 3 K*1410+ amp 1.05421e+00 3.94698e-01 4 K*1410+ phase -6.20178e+00 1.18234e+01 5 K*1410- amp 3.16224e+00 2.62697e-01 6 K*1410- phase 1.97451e+02 7.09799e+00 7 Kappa+ amp 1.21828e+00 1.41759e-01 8 Kappa+ phase 8.16307e+01 4.73706e+00 9 Kappa- amp 4.75391e-01 1.09249e-01 10 Kappa- phase 2.10803e+02 1.41423e+01 11 Nonres amp 2.94117e+00 2.52517e-01 12 Nonres phase 2.61348e+02 5.27515e+00 13 Phi amp 6.76319e-01 1.34612e-02 14 Phi phase 3.17416e+01 1.05168e+01
To do • Try to continue improving the fit • Fit systematics and the robustness of the fit: • Generate and fit several hundred toy MC samples • Repeat the fit with several independent data sub-samples • Try to fit with different possible combinations of resonances and NR terms • Other suggestions? • Finally, start looking for CP asymmetry