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arXiv 2103.02058hep-ph
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粲夸克的重夸克展开

The Heavy Quark Expansion for the Charm Quark

Th. Mannel, D. Moreno, A. A. Pivovarov

摘要:

我们证明,对于粲强子的弱衰变,重夸克展开式可以重新排列,使得重夸克展开式是$Λ_{\rm QCD} / m_c$和$α_s (m_c)$中的一阶系数展开式.与底夸克的情况不同,主导项不仅包括自由夸克衰变的贡献,而且还包括与四个夸克算符的矩阵元素有关的一系列项。

英文摘要:

We show that one can re-arrange the Heavy Quark Expansion for inclusive weak decays of charmed hadrons in such a way that the resulting expansion is an expansion in $Λ_{\rm QCD} / m_c$ and $α_s (m_c)$ with order-one coefficients. Unlike in the case of the bottom quark, the leading term includes not only the contribution of the free-quark decay, but also a tower of terms related to matrix elements of four quark operators.

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