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arXiv · 2103.02058

The Heavy Quark Expansion for the Charm Quark

Abstract

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 $\Lambda_{\rm QCD} / m_c$ and $\alpha_s (m_c)$ 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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Th. Mannel, D. Moreno, A. A. Pivovarov. 2021-03-02. The Heavy Quark Expansion for the Charm Quark. https://arxiv.org/abs/2103.02058

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