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Simultaneous least squares fitter based on the Lagrange multiplier method

2013/04/30 by Yinghui Guan, Ying-Hui Guan, Xiao-Rui Lu +4
Physics and Astronomy · #Energy (signal processing) #High-Energy Particle Collisions Research #Lagrange multiplier #Least-squares function approximation #Linearization #Mixing (physics) #Observable #Particle Detector Development and Performance #Particle physics theoretical and experimental studies #hep-ex

paper · pdf · doi:10.1088/1674-1137/37/10/106201

published as Chinese Phys. C 37 (2013) 106201 · 5 pages,2 figures. Submitted to Chinese Physics C

arxiv created 2013/06/05 · openalex publication_date 2013/10/01 · arxiv updated 2013/11/15 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06

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 χ 2 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 0 - 0 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.

Citations