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arXiv 0710.4479hep-ph
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介子分布振幅--对弱辐射B衰变和B跃迁形状因子的应用

Meson distribution amplitudes - applications to weak radiative B decays and B transition form factors

Gareth Warren Jones

摘要:

本文主要研究介子光锥分布振幅的应用和测定。在$B$物理学的背景下,对这些过程的研究为确定CKM矩阵的标准模型参数提供了一种丰富而广泛的方法,这些参数在描述CP破坏和寻找标准模型之外的新物理学的迹象方面是必不可少的。我们研究了光矢量介子的扭转2和扭转3分布振幅,全面考察了$\rm SU(3)_F$破缺效应,并包含了G宇称的主导破坏项。由QCD求和规则确定了主导非微扰强子参数的数值。分布振幅的结果直接应用于$B$到光矢量介子$B \to V γ$的辐射衰变。我们研究现象学上最重要的观测在这种衰变模式中使用的形式主义QCD因式分解。我们还包括长距离光子发射和软夸克环效应,这正式位于QCD因式分解形式主义之外。分析包括所有模式$B_{u,d} \to ρ, ω, K^*$和$B_{s} \to ϕ, \bar{K}^*$。我们还利用光锥上的QCD求和规则计算了$B \to \etapb$跃迁的形状因子。我们包括单重态的贡献源自$\rm U(1)_A$异常,并使计算一致的$η$ - $\etap$混合框架内。

英文摘要:

This thesis examines the applications and determinations of meson light-cone distribution amplitudes. The investigation of such processes, in the context of $B$ physics, provides one with a rich and extensive way of determining the Standard Model parameters of the CKM matrix, which are essential in describing CP violation, and searching for tell-tale signs of new physics beyond the Standard Model. We investigate the twist-2 and twist-3 distribution amplitudes of light vector mesons and fully examine $\rm SU(3)_F$-breaking effects and include leading G-parity violating terms. Numerical values of the leading non-perturbative hadronic parameters are determined from QCD sum rules. The distribution amplitude results find direct application in the radiative $B$ decays to light vector mesons $B \to V γ$. We examine the phenomenologically most important observables in this decay mode using the formalism of QCD factorisation. We also include long-distance photon emission and soft quark loop effects, which formally lie outside the QCD factorisation formalism. The analysis encompasses all the modes $B_{u,d} \to ρ, ω, K^*$ and $B_{s} \to ϕ, \bar{K}^*$. We also calculate the $B \to \etapb$ transition form factor using QCD sum rules on the light-cone. We include the singlet contribution originating from the $\rm U(1)_A$ anomaly and bring the calculation consistently within the $η$-$\etap$ mixing framework.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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