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.
Heavy Quark Masses from Sum Rules in Four-Loop Approximation
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abstract
New data for the total cross section $\sigma(e^+e^-\to{hadrons})$ in the charm and bottom threshold region are combined with an improved theoretical analysis, which includes recent four-loop calculations, to determine the short distance $\bar{\rm MS}$ charm and bottom quark masses. A detailed discussion of the theoretical and experimental uncertainties is presented. The final result for the $\bar{\rm MS}$-masses, $m_c(3 {GeV})=0.986(13)$ GeV and $m_b(10 {GeV})=3.609(25)$ GeV, can be translated into $m_c(m_c)=1.286(13)$ GeV and $m_b(m_b)=4.164(25)$ GeV. This analysis is consistent with but significantly more precise than a similar previous study.
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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.