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arXiv 0711.4482hep-phastro-phhep-exnucl-th
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e+e湮没和τ衰变中的双介子质量谱:动力学(rho0,omega,phi)混合方法

The Dipion Mass Spectrum In e+e- Annihilation and tau Decay: A Dynamical (rho0, omega, phi) Mixing Approach

M. Benayoun, P. David, L. DelBuono, O. Leitner, H. B. O'Connell

摘要:

我们重新讨论的问题,找到一个同时描述的π形状因子的数据在e+e-湮灭和τ衰变。为此,我们在隐局域对称(HLS)拉格朗日的框架下工作,并通过包括π介子和K介子环贡献来修改矢量介子质量项。这导致我们将物理的ρ、ω和φ场定义为它们的理想伙伴的线性组合,系数是s的亚纯函数,s是流入矢量介子线的4-动量的平方。这使我们能够定义一个动态的,即s-依赖的矢量介子混合方案。该模型是过度约束的扩展框架,以包括所有介子辐射(VP伽马和P伽马伽马耦合)和轻子(Ve+e-耦合)的衰变,也是同位旋破缺(Ω/ phi --> π + π-)衰变模式的描述。该模型提供了一个同时的,一致的和良好的描述的e+e-和τ双介子光谱。在后一种情况下的π形状因子的表达式是从前一种情况下的表达式导出的,通过关闭e+e-特有的同位旋破缺效应,打开τ衰变的效应。此外,该模型还能很好地描述V-P-γ、P-γ-γ形式的衰变模以及同位旋破缺衰变模。这使我们对ρ ^0--> e+ e-和ω--> pi+ pi-的部分宽度提出了新的参考值,它们是我们描述π介子形状因子的一部分。其他议题(φ--> K反K,ρ介子质量和宽度参数)进行了简要讨论。因此,我们确认了基于e+e-的a_mu的理论估计值与其直接BNL测量值之间的3.3 sigma差异。

英文摘要:

We readdress the problem of finding a simultaneous description of the pion form factor data in e+e- annihilations and in tau decays. For this purpose, we work in the framework of the Hidden Local Symmetry (HLS) Lagrangian and modify the vector meson mass term by including the pion and kaon loop contributions. This leads us to define the physical rho, omega and phi fields as linear combinations of their ideal partners, with coefficients being meromorphic functions of s, the square of the 4--momentum flowing into the vector meson lines. This allows us to define a dynamical, i.e. s-dependent, vector meson mixing scheme. The model is overconstrained by extending the framework in order to include the description of all meson radiative (V P gamma and P gamma gamma couplings) and leptonic (Ve+e- couplings) decays and also the isospin breaking (omega/ phi --> pi+ pi-) decay modes. The model provides a simultaneous, consistent and good description of the e+e- and tau dipion spectra. The expression for pion form factor in the latter case is derived from those in the former case by switching off the isospin breaking effects specific to e+e- and switching on those for tau decays. Besides, the model also provides a good account of all decay modes of the form V P gamma, Pgamma gamma as well as the isospin breaking decay modes. It leads us to propose new reference values for the rho^0 --> e+ e- and omega --> pi+ pi- partial widths which are part of our description of the pion form factor. Other topics (phi --> K anti K, the rho meson mass and width parameters) are briefly discussed. Therefore, we confirm the 3.3 sigma discrepancy between the theoretical estimate of a_mu based on e+e- and its direct BNL measurement.

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