Lagrange multiplier method used in BESⅢ

YAN Liang; HE Kang-Lin; LI Wei-Guo; BIAN Jian-Ming; FU Cheng-Dong; HUANG Bin; LIU Ying; NING Fei-Peng; SUN Sheng-Sen; XU Min; ZHANG Jian-Yong; ZHU Yong-Sheng

doi:10.1088/1674-1137/34/2/009

Chinese Physics C> 2010, Vol. 34> Issue(2) : 204-209 DOI: 10.1088/1674-1137/34/2/009

Lagrange multiplier method used in BESⅢ

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Abstract：
In this paper, the kinematic fitting with the Lagrange multiplier method has been studied for BESⅢ experiment. First we introduce the Lagrange multiplier method and implement kinematic constraints. Then we present the performance of the kinematic fitting algorithm. With the kinematic fitting, we can improve the resolution of track parameters and reduce the background.

References

[1]

. BES0 Design Report. Interior Document in Institute ofHigh Energy Physics, 20042. LI W D, LIU H M et al. The Offine Software for the BES0 Experiment. Proceeding of CHEP06. Mumbai, 20063. XU M, HE K L et al. Chinese Physic C, 2009, 33(06):428-4354. Avery P. Applied Fitting Theory .: General Least Squares Theory, CBX-91-72, 19915. Avery P. Applied Fitting Theory 1: Formulas for Kinematic Fitting, CBX-98-37, 19926. Frodeson A G et al. Probability and Statistics in Particle Physics, Universitetsforlaget, Bergen-Oslo-Tromso, 19797. Speer T, Frühwirth R. Computer Physics Communications,2006, 174(12): 935-9478. WANG J K et al. Chinese Physic C, 2009, 33(03): 210-2169. Kalman R E. Transaction of the ASME-- Journal of Basic Engineering, 1960, 82(Series D): 35-45

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YAN Liang, HE Kang-Lin, LI Wei-Guo, BIAN Jian-Ming, FU Cheng-Dong, HUANG Bin, LIU Ying, NING Fei-Peng, SUN Sheng-Sen, XU Min, ZHANG Jian-Yong, ZHU Yong-Sheng and Lagrange multiplier method used in BESⅢ[J]. Chinese Physics C, 2010, 34(2): 204-209. doi: 10.1088/1674-1137/34/2/009

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Received: 2009-03-24
Revised: 2009-06-25

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沈阳化工大学材料科学与工程学院沈阳 110142

Lagrange multiplier method used in BESⅢ

Corresponding author: HE Kang-Lin,

Received Date: 2009-03-24
Accepted Date: 2009-06-25
Available Online: 2010-02-05

Abstract: In this paper, the kinematic fitting with the Lagrange multiplier method has been studied for BESⅢ experiment. First we introduce the Lagrange multiplier method and implement kinematic constraints. Then we present the performance of the kinematic fitting algorithm. With the kinematic fitting, we can improve the resolution of track parameters and reduce the background.