line shape of ee->KK

formula

with 1 resonance higher than 2 GeV chi2 is 440.231 bes chi2 is 132.327 bar13 chi2 is 198.198 bar15 chi2 is 219.413

with 2 resonance higher than 2 GeV chi2 is 347.005 bes chi2 is 118.011 bar13 chi2 is 126.782 bar15 chi2 is 204.425

with 3 resonance higher than 2 GeV chi2 is 174.111 bes chi2 is 27.8019 bar13 chi2 is 127.18 bar15 chi2 is 39.2739

with out phi @2.23 chi2 is 718.114 bes chi2 is 523.892 bar13 chi2 is 172.448 bar15 chi2 is 43.548

2230 with width running as rho chi2 is 171.077 bes chi2 is 26.1738 bar13 chi2 is 126.166 bar15 chi2 is 37.4739

PDG quoted uncertainty 1 Constant 5.20786e+01 2.06917e+00 2 Mean 2.23386 0.00048 3 Sigma 0.01307 0.00029 1 Constant 2.56828e+01 1.07551e+00 2 Mean 0.144528 0.00049 3 Sigma 0.013733 0.00036

PDG quoted uncertainty

check chisq Vs m

change M_Rs Γ_Rs to result near m=2.25

varied M and Γ, chi curve

2220 Vs 2250

pole position Vs BW parameters Concept of pole position: the pole position is simply the complex zero of the denominator, and the Breit-Wigner mass is the renormalized mass of a resonance defined as the real energy at which the real part of the denominator vanishes. [From “Fundamental properties of resonances”] our case: BW parameters are m and Γ, which can be obtained from the fit to data. Pole position is the solution of Thus,

Two solutions? energy-dependent width fixed width chisq = 157.427 c= 1.40650e-02 1.91529e-03 m=2.24563e+00 8.29970e-03 w= 1.36268e-01 1.18335e-02 150.672 -4.08359e-02 1.13141e-02 2.24373e+00 8.37849e-03 1.65924e-01 1.52157e-02