Correlated Data Fitting and Error Analysis in ψ(2S) Scan Experiment

MO Xiao-Hu; ZHU Yong-Sheng

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 2003, Vol. 27> Issue(6) : 474-478

Correlated Data Fitting and Error Analysis in ψ(2S) Scan Experiment

MO Xiao-Hu ^, ,
ZHU Yong-Sheng

Institute of High Energy Physics, CAS, Beijng 100039, China2 China Center of Advanced Science and Technology, Beijing 100080, China

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Abstract：
Maximum likelihood method is adopted to acquire the fitting formula, which could deal with the correlations between different points and different channels in ψ(2S) scan experiment. Sampling technique is employed to avoid the difficulty of too many fitting parameters. The final error of the fitted value is the combination of all kinds of uncertainties. The approach described in this paper could effectively treat the complex correlation problem in experiment data analysis.

References

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. BES Collaboarion.HEP NP ,1992,16(9):769—787(in Chinese);BAI J Z et al.Nucl.Instr.Meth.,1994,A344:319—344;BAI J Z et al.Nucl.Instr.Meth.,2001,A458:627—637(BES合作组.高能物理与核物理,1992,16(9):769—787)2. BES Collaboarion.Phys.Lett.,2002,B550:24—32;MO Xiao-Hu.Measurement of ψ(2S) Resonance Parameters.Dr.Thesis.Beijing,in2001(in Chinese)(莫晓虎.ψ(2S)共振参数的测量.博士论文.北京,2001) 3. Particle Data Group,Hagiwara K et al.Phys.Rev.,2002,D66:0100014. Berends F A et al.Nucl.Phys.,1973,B57:381;1974,B68:541;1981,B177:237;1983,B228:5375. Porter F.Scale Correlation in χ2 a Fit,2002,unpublished6. ZHANG C et al.HEACC'92 Hamburg,XVth Int.Conf.On High Energy Accelerators,ed.J.Rossbach Germany:Hamburg,1992,409

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[16]	BES Collaboration . Abnormal Suppression of Vector-Tensor Decays of ψ(2S). Chinese Physics C, 1997, 21(1): 89-96.
[17]	BES Collaboration . Determination of J/ψ Leptonic Branching Fraction Via ψ(2S)→π⁺π^－J/ψ. Chinese Physics C, 1996, 20(2): 97-106.
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[20]	BES Collaboration . New Suppression Mode of the ψ(2S) Hadronic Decay. Chinese Physics C, 1995, 19(1): 93-96.

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MO Xiao-Hu and ZHU Yong-Sheng. Correlated Data Fitting and Error Analysis in ψ(2S) Scan Experiment[J]. Chinese Physics C, 2003, 27(6): 474-478.

MO Xiao-Hu and ZHU Yong-Sheng. Correlated Data Fitting and Error Analysis in ψ(2S) Scan Experiment[J]. Chinese Physics C, 2003, 27(6): 474-478. shu

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Received: 2002-09-23
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

Correlated Data Fitting and Error Analysis in ψ(2S) Scan Experiment

MO Xiao-Hu ^,
ZHU Yong-Sheng

Corresponding author: MO Xiao-Hu,

Institute of High Energy Physics, CAS, Beijng 100039, China2 China Center of Advanced Science and Technology, Beijing 100080, China

Received Date: 2002-09-23
Accepted Date: 1900-01-01
Available Online: 2003-06-05

Abstract: Maximum likelihood method is adopted to acquire the fitting formula, which could deal with the correlations between different points and different channels in ψ(2S) scan experiment. Sampling technique is employed to avoid the difficulty of too many fitting parameters. The final error of the fitted value is the combination of all kinds of uncertainties. The approach described in this paper could effectively treat the complex correlation problem in experiment data analysis.