A comprehensive revisit of the ρ meson with improved Monte-Carlo based QCD sum rules

  • We improve the Monte-Carlo based QCD sum rules by introducing the rigorous Hölder-inequality-determined sum rule window and a Breit-Wigner type parametrization for the phenomenological spectral function. In this improved sum rule analysis methodology, the sum rule analysis window can be determined without any assumptions on OPE convergence or the QCD continuum. Therefore, an unbiased prediction can be obtained for the phenomenological parameters (the hadronic mass and width etc.). We test the new approach in the ρ meson channel with re-examination and inclusion of αs corrections to dimension-4 condensates in the OPE. We obtain results highly consistent with experimental values. We also discuss the possible extension of this method to some other channels.
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Qi-Nan Wang, Zhu-Feng Zhang, T. G. Steele, Hong-Ying Jin and Zhuo-Ran Huang. A comprehensive revisit of the ρ meson with improved Monte-Carlo based QCD sum rules[J]. Chinese Physics C, 2017, 41(7): 074107. doi: 10.1088/1674-1137/41/7/074107
Qi-Nan Wang, Zhu-Feng Zhang, T. G. Steele, Hong-Ying Jin and Zhuo-Ran Huang. A comprehensive revisit of the ρ meson with improved Monte-Carlo based QCD sum rules[J]. Chinese Physics C, 2017, 41(7): 074107.  doi: 10.1088/1674-1137/41/7/074107 shu
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Received: 2017-03-01
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    Supported by NSFC (11175153, 11205093, 11347020), Open Foundation of the Most Important Subjects of Zhejiang Province, and K. C. Wong Magna Fund in Ningbo University, TGS is Supported by the Natural Sciences and Engineering Research Council of Canada (NSERC), Z. F. Zhang and Z. R. Huang are Grateful to the University of Saskatchewan for its Warm Hospitality

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A comprehensive revisit of the ρ meson with improved Monte-Carlo based QCD sum rules

    Corresponding author: Zhu-Feng Zhang,
  • 1.  Physics Department, Ningbo University, Zhejiang 315211, China
  • 2. Physics Department, Ningbo University, Zhejiang 315211, China
  • 3. Department of Physics and Engineering Physics, University of Saskatchewan, Saskatoon, Saskatchewan, S7N 5E2, Canada
  • 4.  Department of Physics and Engineering Physics, University of Saskatchewan, Saskatoon, Saskatchewan, S7N 5E2, Canada
  • 5.  Zhejiang Institute of Modern Physics, Zhejiang University, Zhejiang 310027, China
  • 6. Department of Physics and Engineering Physics, University of Saskatchewan, Saskatoon, Saskatchewan, S7N 5E2, Canada
  • 7. Zhejiang Institute of Modern Physics, Zhejiang University, Zhejiang 310027, China
Fund Project:  Supported by NSFC (11175153, 11205093, 11347020), Open Foundation of the Most Important Subjects of Zhejiang Province, and K. C. Wong Magna Fund in Ningbo University, TGS is Supported by the Natural Sciences and Engineering Research Council of Canada (NSERC), Z. F. Zhang and Z. R. Huang are Grateful to the University of Saskatchewan for its Warm Hospitality

Abstract: We improve the Monte-Carlo based QCD sum rules by introducing the rigorous Hölder-inequality-determined sum rule window and a Breit-Wigner type parametrization for the phenomenological spectral function. In this improved sum rule analysis methodology, the sum rule analysis window can be determined without any assumptions on OPE convergence or the QCD continuum. Therefore, an unbiased prediction can be obtained for the phenomenological parameters (the hadronic mass and width etc.). We test the new approach in the ρ meson channel with re-examination and inclusion of αs corrections to dimension-4 condensates in the OPE. We obtain results highly consistent with experimental values. We also discuss the possible extension of this method to some other channels.

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