论文标题
QED分解非律师$ b $衰减
QED factorization of non-leptonic $B$ decays
论文作者
论文摘要
我们表明，可以将QCD分解方法用于$ b $ -Meson腐烂到无魅力的HADRONIC两体最终状态，以包括电磁校正。电动带电的最终状态颗粒的存在使框架复杂化。然而，分解公式仅采用与QCD相同的形式，并具有适当的概括，对轻锥分布幅度的定义和形式的定义进行了适当的概括，以包括QED效应。更准确地说，我们将QED效应高于强相互作用量表$λ_ {\ rm qcd} $对于非辐射矩阵元素$ \ langle m_1 m_1 m_2 | q_i | q_i | \ bar {b} \ bar {b} \ rangle $ from有效弱相互作用的当前算子的rangle $。然后，通过与软杆型型号倍增获得最大能量$ΔE\llλ_{\ rm qCD} $，带有最大能量$ΔE\llλ_{\ rm qCD} $的分支分数$ \ bar b \ bar b \ to m_1 m_2（γ）$。我们提供了各种电磁校正的首先估计，特别是量化了它们对$πk$比率和总和规则的影响，这些规则通常被用作新物理学的诊断。
We show that the QCD factorization approach for $B$-meson decays to charmless hadronic two-body final states can be extended to include electromagnetic corrections. The presence of electrically charged final-state particles complicates the framework. Nevertheless, the factorization formula takes the same form as in QCD alone, with appropriate generalizations of the definitions of light-cone distribution amplitudes and form factors to include QED effects. More precisely, we factorize QED effects above the strong interaction scale $Λ_{\rm QCD}$ for the non-radiative matrix elements $\langle M_1 M_2|Q_i|\bar{B}\rangle$ of the current-current operators from the effective weak interactions. The rates of the branching fractions for the infrared-finite observables $\bar B\to M_1 M_2(γ)$ with photons of maximal energy $ΔE\llΛ_{\rm QCD}$ is then obtained by multiplying with the soft-photon exponentiation factors. We provide first estimates for the various electromagnetic corrections, and in particular quantify their impact on the $πK$ ratios and sum rules that are often used as diagnostics of New Physics.
