The fitting method of center-of-mass energy and ISR J/psi

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Presentation transcript:

The fitting method of center-of-mass energy and ISR J/psi Changzheng Yuan Longzhou Liao

Introduction Using two different methods to fit the ISR J/psi to do the momentum calibration to show that our fitting methods is OK Giving a criterion of the fitting range when we fit the M( μ + μ − ) peak with a Gauss fuction

Fitting the ISR J/psi peak with different methods Crystal_ball + 1st-order polynomial Fit chi2/ndf: 1.10506 Mmp = 3097.51 +/- 0.292723MeV Gauss + 1st-order polynomial Mmp=3097.52+/-0.29MeV The fitting results showing the consistency of the two methods and our fitting methods is OK

Using MC simulate ISR J/psi process to get the FSR correction Crystal_ball + 1st-order polynomial Fit chi2/n: 1.24888 Mmp= 3098.686 +/- 6.79475e-02MeV Fit chi2/n: 1.13748 Mmp= 3098.396 +/- 7.86597e-02MeV FSR = 0.29 +/- 0.10 MeV

Using the background of data as the MC background to get the FSR correction Fit chi2/ndf: 1.17615 Mmp(isr)= 3098.66 +/- 0.11MeV Fit chi2/ndf: 1.13289 Mmp(ifsr) = 3098.38 +/- 0.12MeV FSR=0.28+/-0.16MeV Consider the fitting error ,the results is reliable

Gauss Fit chi2/ndf: 1.02629 Mmp= 3098.80+/- 0.12MeV FSR=0.23+/-0.17MeV

After FSR correction the result is : ISR J/psi = 3097.51+ 0.29=3097.80 +/- 0.31MeV And the PDG value : 3096.916 +/- 0.011MeV ∆m = 0.884+/- 0.310MeV The ∆m will be as the momentum calibration value

Fitting the Dimu peak When we fitting the dimu peak with a Gauss function ,we give a criterion to confirm the fitting range . First ,we fitting all the data with a reasonable range to get the fitting sigma and chisquare over number of freedom degree(chis/ndf) ,also we need the peak value(pv) approximately . Than we changed the fitting range to compare the difference of the fitting result . We found when the chis/ndf <2 ,the difference is less than 0.1MeV and we decided to use (pv-1.0sigma,pv+1.5sigma) as the fitting range and as the criterion finally . And the difference of fitting (0.1MeV) because of fitting range change will consider as a system error .

Dimu fitting method Fit chi2/ndf: 1.85028 Mmp= 4.18718 +/- 4.49092e-05 Range(4.16,4.225) -1.2sigma+1.5sigma Fit chi2/ndf: 1.90207 Mmp = 4.18726 +/- 5.68024e-05 Range(4.165,4.225) -1sigma +1.5sigma Fit chi2/ndf : 3.26676 Mmp = 4.1869 +/- 3.54429e-05 Range(4.15,4.225) -1.6sigma+1.5sigma Fit chi2/ndf : 1.86152 Mmp= 4.18718 +/- 7.87849e-05 Range(4.15,4.225) -0.8sigma+1.5sigma

Fit chi2/ndf: 1.32265 Mmp= 4.18724 +/- 5.56823e-05 Range(4.165,4.215) -1sigma+1.1sigma Fit chi2/ndf: 1.47981 Mmp= 4.18726 +/- 5.57824e-05 Range(4.165,4.220) -1sigma+1.3sigma Fit chi2/ndf: 2.7764 Mmp = 4.18723 +/- 5.80177e-05 Range(4.165,4.230) -1sigma +1.7sigma Fit chi2/ndf : 4.1634 Mmp= 4.18715 +/- 5.92089e-05 Range(4.165,4.235) -1sigma +1.9sigma

ISR correction (∆M ) by MC sample We use the same range to fitting the MC samples to get the ISR correction Mmp =4.189254+/-0.000086GeV Mmp =4.192297+/-0.000084GeV ISR=3.043+/-0.120MeV

Run by run Value: 4.18751e+00 Err :5.54951e-05

Thank you !!!