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Chinese Physics C> 2013, Vol. 37> Issue(2) : 026202 DOI: 10.1088/1674-1137/37/2/026202

Analytical determination of optimal luminosity for τ mass scan

  • Resorting to Hessian matrix, the analytical formula is obtained to determine the optimal luminosity proportion for the experiment of τ mass scan. Comparison of numerical results indicate the consistency between the present analytical evaluation and the previous computation based on the sampling technique.
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    [1] Albrecht H et al. (ARGUS collaboration). Phys. Lett. B, 1992, 292: 221[2] Belous K et al. (Belle collaboration). Phys. Rev. Lett., 2007, 99: 011801[3] BAI J Z et al. (BES collaboration). Phys. Rev. D, 1996, 53: 20[4] BAI J Z et al. (BES collaboration). Phys. Rev. Lett., 1992, 69: 3021[5] BAI J Z et al. (BES collaboration). HEP NP, 1992, 16: 343 (in Chinese)[6] BES collaboration. The BESⅢ Detector. 2004[7] Bogomyagkov A et al. Research of Possibility to Use Beam Polarization for Absolute Energy Calibration in High-precision Measurement of Tau Leptonic Mass at VEPP-4M. 9th European Particle Accelerator Conference. Lucerne, Switzerland, 2004[8] Voloshin M B. Phys. Lett. B, 2003, 556: 153[9] Smith B H, Voloshin M B. Phys. Lett. B, 1994, 324: 177[10] Pich A. Perspectives on Tau-Charm Factory Physics. Proceedings of the 3rd Workshop on the Tau-Charm Factory. Marbella, Spain, 1993, 767[11] Femenia P R, Pich A. Phys. Rev. D, 2001, 63: 053001[12] WANG Y K, MO X H, YUAN C Z et al. Nucl. Instrum. Methods A, 2007, 583: 479-484[13] WANK Y K, ZHANG J Y, MO X H et al. Chinese Physics C(HEP NP), 2009, 33: 501-507[14] WANG B Q, MO X H et al. Int. J. Mod. Phys. A, 2012, 27: 1250150. arXiv: 1205.5362[15] Hughes I G, Hase T P A. Measurements and their uncertainties. New York: Oxford University Press, 2010[16] XIE Z, LI J P, CHEN Z. Nonlinear Optimization Theory and Methods. Beijing: Higher Education Presss, 2010 (in Chinese)

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WANG Bo-Qun and MO Xiao-Hu. Analytical determination of optimal luminosity for τ mass scan[J]. Chinese Physics C, 2013, 37(2): 026202. doi: 10.1088/1674-1137/37/2/026202
WANG Bo-Qun and MO Xiao-Hu. Analytical determination of optimal luminosity for τ mass scan[J]. Chinese Physics C, 2013, 37(2): 026202.  doi: 10.1088/1674-1137/37/2/026202 shu
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Received: 2012-03-27
Revised: 2012-03-31
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Analytical determination of optimal luminosity for τ mass scan

    Corresponding author: WANG Bo-Qun,
  • Received Date: 2012-03-27
  • Accepted Date: 2012-03-31
  • Available Online: 2013-02-05

Abstract: Resorting to Hessian matrix, the analytical formula is obtained to determine the optimal luminosity proportion for the experiment of τ mass scan. Comparison of numerical results indicate the consistency between the present analytical evaluation and the previous computation based on the sampling technique.

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