Including twist-5 and twist-6 B_s-meson distribution amplitudes enhances the charm-loop non-local form factors in B_s to phi l+l- by about an order of magnitude, producing a larger but still Standard-Model-consistent correction to C9.
Inverse moment of the $B_s$-meson distribution amplitude from QCD sum rule
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abstract
We derive a QCD sum rule for the inverse moment of the $B_s$-meson light-cone distribution amplitude in HQET. Within this method, the $SU(3)_{fl}$ symmetry violation is traced to the strange quark mass and to the difference between strange and nonstrange quark condensate densities. We predict the ratio of inverse moments $\lambda_{B_s}/\lambda_B= 1.19 \pm 0.14$ which can be used in various applications of these distribution amplitudes to the analyses of $B_{s}$-meson decays, provided an accurate value of $\lambda_B$ is available from other sources, such as the $B\to \ell \nu_\ell \gamma$ decay.
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Investigating non-local contributions in $B_{s} \to \phi \bar{\ell} \ell$ including higher-twist effects
Including twist-5 and twist-6 B_s-meson distribution amplitudes enhances the charm-loop non-local form factors in B_s to phi l+l- by about an order of magnitude, producing a larger but still Standard-Model-consistent correction to C9.