journal6 ›› 2002, Vol. 23 ›› Issue (3): 66-72.

• 物理与电子 • 上一篇    下一篇

B→π跃迁形状因子的计算

  

  • 出版日期:2002-09-15 发布日期:2013-01-05
  • 作者简介:吴向尧(1965-),男,安徽省枞阳县人,淮北煤炭师范学院物理系副教授,主要从事理论物理研究.
  • 基金资助:

    安徽省教育厅自然科学基金资助项目(2001kj200ZC)

The Calculation of B→π Transitions Form Factor

  1. (1.Department of Physics,Huaibei Coal Mining Teachers College,Huaibei 235000,Anhui China;2.Institute of High Energy Physics,Chinese Academy of Sciences,Beijing 100039,China)
  • Online:2002-09-15 Published:2013-01-05

摘要:重到轻跃迁形状因子是非常重要的参量,它在B介子衰变中起重要作用.在光锥QCD求和规则中,形状因子的计算结果的不确定性主要来自于光锥波函数,twist-2, twist-3的波函数是主要贡献的波函数.现在仅有twist-2的波函数被系统地分析并较精确地确定下来.然而,对twist-3, twist-4的波函数确定不够好.但twist-3波函数对形状因子的贡献与twist-2波函数贡献相当,Twist-4波函数贡献很小,这样twist-3波函数给计算结果带来较大的不确定性.为此,通过构造手征流关联函数,消除了twist-3波函数的不确定性所带来的影响,用改进的光锥QCD求和规则计算B→π跃迁形状因子,与标准的光锥QCD求和规则的结果基本吻合,从而更能精确地抽取CKM矩阵元|Vub|.各参数对计算结果f(q2)的不确定度的影响范围是:Borel质量参数M2的影响为±(3~5)%,光锥波函数±10%,高扭度波函数的影响不超过5%.

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关键词: 光锥QCD求和规则, 形状因子, CKM矩阵元

Abstract: The heavy-to-light transition form factors are very important parameters,which play an important role in B-meson decays. The uncertainties of calculation of form factors in light-cone QCD sum rules mainly come from light-cone wave function among which twist-2 and twist-3 wave function make significant contributions to form factors. Now only twist-2 wave function has been systematically analyzed and twist-3 and twist-4 wave function have not satisfactorily determined but twist-4 contribution is very small, therefore, it is twist-3 wave function that cause large uncertainty of form factors. So, through construction adequate chiral current correlation function and consideration of all twist 2 and 4 contribution, the heavy-to-light B→π transitions form factor was calculated in improved light-cone QCD sum rules, and was compared with the result in standard light-cone QCD sum rules. They are consistent with each other, but the uncertainties are eliminated about twist-3 wave function, so the CKM matrix element |Vub| precisely can be extracted.The contributions of every parameter to uncertainties of calculation result f(q2) are discussed and presented. For example, the contributions of Borel parameter is ±(3~5)%; light-cone wave function ±10%; The higher twist wave functions are less than 5%.

Key words: improved light-cone QCD sum rules, form factor, CKM matrix element

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