Measurement of Strong Coupling Constant at Low Energy Range

HU Jun-Hui; WENG Yao; HU Hai-Ming; YANG Yong-Xu; GAO Yuan-Ning; WANG Jun

Chinese Physics C> 2007, Vol. 31> Issue(6) : 518-522

Measurement of Strong Coupling Constant at Low Energy Range

College of Physics and Electronic Engineering, Guangxi Normal University, Guilin 541004, China2 Institute of High Energy Physics, CAS, Beijing 100049, China3 Department of Engineering Physics, Tsinghua University, Beijing 100084, China4 Department of Physics, Kunming Teacher's College, Kunming 650034, China

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Abstract：
The strong coupling α_s(s) is an important free parameter of Quantum Chromodynamics. Based on R values measured at BES, the values of the strong running coupling constant α_s(s) at 2.0—3.7GeV are determined using the O(α³_s) and O(α⁴_s) order expressions calculated by pQCD, then α_s(s) is deduced to the M_z scale. The numerical prediction on the improvement of the uncertainty of α_s(s) with the decrease of the experimental error of R value in the future experiment is also given.

References

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. Blumlein J, Bottcher H. Nucl. Phys., 2002, B636: 225-2632. ALEPH Collaboration. Eur. Phys. J., 1998, C4: 409-4313. OPAL Collaboration. Eur. Phys. J., 1999, C7: 571-5934. Kuhn J H, Steinhauser M. Nucl. Phys., 2001, B619: 588-6025. BES Collaboration. Phys. Rev. Lett., 2000, 84: 594-5976. BES Collaboration. Phys. Rev. Lett., 2002, 88: 101802-17. Bethke S. J. Phys., 2000, G26: R278. Gorishnii S G, Kataev A L, Larin S A. Phys. Lett., 1991,B259: 144-1509. Baikov P A, Chetyrkin K G, Kuhn J H. Phys. Lett., 2003,B559: 245-25110. Harlander R V, Steinhauser M. Comp. Phys. Commun.,2003, 153: 244-27411. Chetyrkin K G et al. Comput. Phys. Commun., 2000, 133:43-6512. YAO Y M et al. J. Phys., 2006, G33: 113. Chetykin K G et al. Phys. Rev. Lett., 1997, 79: 2184-2187

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HU Jun-Hui, WENG Yao, HU Hai-Ming, YANG Yong-Xu, GAO Yuan-Ning and WANG Jun. Measurement of Strong Coupling Constant at Low Energy Range[J]. Chinese Physics C, 2007, 31(6): 518-522.

HU Jun-Hui, WENG Yao, HU Hai-Ming, YANG Yong-Xu, GAO Yuan-Ning and WANG Jun. Measurement of Strong Coupling Constant at Low Energy Range[J]. Chinese Physics C, 2007, 31(6): 518-522. shu

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Received: 2006-08-25
Revised: 2006-09-26

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沈阳化工大学材料科学与工程学院沈阳 110142

Measurement of Strong Coupling Constant at Low Energy Range

Corresponding author: WENG Yao,

College of Physics and Electronic Engineering, Guangxi Normal University, Guilin 541004, China2 Institute of High Energy Physics, CAS, Beijing 100049, China3 Department of Engineering Physics, Tsinghua University, Beijing 100084, China4 Department of Physics, Kunming Teacher's College, Kunming 650034, China

Received Date: 2006-08-25
Accepted Date: 2006-09-26
Available Online: 2007-06-05

Abstract: The strong coupling α_s(s) is an important free parameter of Quantum Chromodynamics. Based on R values measured at BES, the values of the strong running coupling constant α_s(s) at 2.0—3.7GeV are determined using the O(α³_s) and O(α⁴_s) order expressions calculated by pQCD, then α_s(s) is deduced to the M_z scale. The numerical prediction on the improvement of the uncertainty of α_s(s) with the decrease of the experimental error of R value in the future experiment is also given.