Simultaneous least squares fitter based on the Lagrange multiplier method

GUAN Ying-Hui; ZHENG Yang-Heng; ZHU Yong-Sheng

doi:10.1088/1674-1137/37/10/106201

Chinese Physics C> 2013, Vol. 37> Issue(10) : 106201 DOI: 10.1088/1674-1137/37/10/106201

Simultaneous least squares fitter based on the Lagrange multiplier method

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Abstract：
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 χ² 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 m D⁰-D⁰ 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.

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GUAN Ying-Hui, ZHENG Yang-Heng, ZHU Yong-Sheng and Simultaneous least squares fitter based on the Lagrange multiplier method[J]. Chinese Physics C, 2013, 37(10): 106201. doi: 10.1088/1674-1137/37/10/106201

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Received: 2013-04-17
Revised: 2013-05-30

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沈阳化工大学材料科学与工程学院沈阳 110142

Simultaneous least squares fitter based on the Lagrange multiplier method

Received Date: 2013-04-17
Accepted Date: 2013-05-30
Available Online: 2013-10-05

Abstract: 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 χ² 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 m D⁰-D⁰ 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.