Computes four-quark operator matrix elements via QCD sum rules, derives their HQET limit, demonstrates numerical consistency between the two, and identifies the source of prior literature discrepancies.
The Rule of Discarding $1/N_c$ in Inclusive Weak Decays. II
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abstract
We calculate the leading preasymptotic correction to the inclusive width $b\rightarrow \bar c c s$ (two massive quarks in the final state) due to the operator $\vec \sigma \vec H$. It is found that this correction tends to cancel the $1/N_c$ part of the inclusive width calculated using naive factorization. The absolute value of the effect is of order 0.25. We also discuss how quark-hadron duality is realized in the inclusive decays.
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From QCD sum rules to HQET sum rules: Heavy-quark limit of four-quark operator matrix elements
Computes four-quark operator matrix elements via QCD sum rules, derives their HQET limit, demonstrates numerical consistency between the two, and identifies the source of prior literature discrepancies.