Simultaneous least squares f itter based on the Lagrange multiplier method  

作　　者：管颖慧 吕晓睿 郑阳恒 朱永生 

机构地区：[1]University of Chinese Academy of Sciences [2]Institute of High Energy Physics,Chinese Academy of Sciences

出　　处：《Chinese Physics C》2013年第10期63-67,共5页中国物理C（英文版）

基　　金：Ministry of Science and Technology of China(2009CB825200);Joint Funds of National Natural Science Foundation of China(11079008);Natural Science Foundation of China (11275266) and SRF for ROCS of SEM

摘　　要：We developed a least squares fitter used for extracting expected physics parameters from the correlated experimental data in high energy physics. This fitter considers the correlations among the observables and handles the nonlinearity using linearization during the X2 minimization. This method can naturally be extended to the analysis with external inputs. By incorporating with Lagrange multipliers, the fitter includes constraints among the measured observables and the parameters of interest. We applied this fitter to the study of the D^-D~ mixing parameters as the test-bed based on MC simulation. The test results show that the fitter gives unbiased estimators with correct uncertainties and the approach is credible.We developed a least squares fitter used for extracting expected physics parameters from the correlated experimental data in high energy physics. This fitter considers the correlations among the observables and handles the nonlinearity using linearization during the X2 minimization. This method can naturally be extended to the analysis with external inputs. By incorporating with Lagrange multipliers, the fitter includes constraints among the measured observables and the parameters of interest. We applied this fitter to the study of the D^-D~ mixing parameters as the test-bed based on MC simulation. The test results show that the fitter gives unbiased estimators with correct uncertainties and the approach is credible.

关 键 词：least squares correlated uncertainties NONLINEARITY constrained fit 

分 类 号：O241.5[理学—计算数学]