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QCD sum rules for quark-gluon three-body components in the B meson
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We discuss the QCD sum rule calculation of the heavy-quark effective theory parameters, $\lambda_E$ and $\lambda_H$, which correspond to matrix elements representing quark-gluon three-body components in the $B$-meson wavefunction. We derive the sum rules for $\lambda_{E,H}$ calculating the new higher-order QCD corrections, i.e., the order $\alpha_s$ radiative corrections to the Wilson coefficients associated with the dimension-5 quark-gluon mixed condensates, and the power corrections due to the dimension-6 vacuum condensates. We find that the new radiative corrections significantly improve the stability of the corresponding Borel sum rules and lead to the reduction of the values of $\lambda_{E,H}$. We also discuss the renormalization-group improvement for the sum rules and present update on the values of $\lambda_{E,H}$.
Forward citations
Cited by 2 Pith papers
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Three-particle di-light-cone distribution amplitudes of the $B$-meson in heavy-quark effective theory
The authors identify eight independent three-particle DLCDAs of the B-meson, perform their complete Lorentz decomposition in definite-twist basis, obtain tree-level relations for integrals and moments from operator id...
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Semileptonic $B_q$ decays to heavy tensor mesons
Form factors for B_q to J^P=2^+ tensor meson semileptonic decays are computed via light-cone QCD sum rules with external B state, yielding SM decay rates and LFU test ratios.
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