Speaker
Description
Flavor-changing neutral current (FCNC) transitions, such as $b\rightarrow s\ell^{+}\ell^{-}$, are significant probes for New Physics because they are both loop-suppressed and CKM-suppressed within the Standard Model. However, the theoretical precision of these modes is often limited by non-factorizable hadronic uncertainties; thus, we analyze the impact of higher-twist (twist-5 and twist-6) three-particle $B_{s}$-meson light-cone distribution amplitudes (LCDAs) on the non-local ''charm-loop'' contributions for the $B_{s}\rightarrow\phi\ell^{+}\ell^{-}$ transition. Utilizing the light-cone sum rule (LCSR) framework, we demonstrate that the inclusion of these higher-twist components enhances the non-local form factors by approximately an order of magnitude compared to previous estimates. This enhancement is primarily due to the partial disruption of cancellations previously observed among lower-twist contributions. To analytically continue these contributions into the kinematically allowed physical region, we employ a hadronic dispersion relation incorporating intermediate resonant states such as the $\phi$, $J/\psi$, and $\psi(2S)$ mesons, supplemented by experimental data from $B_{s}\rightarrow\phi V$ decays. This leads to $q^{2}$-dependent corrections to the Wilson coefficient $C_{9}$, and we see phenomenological implications for the differential branching fraction and angular observables, comparing our predictions with recent measurements from the LHCb collaboration. Additionally, we update the local form factors to include contributions from higher-twist three-particle $B_{s}$-meson LCDAs.
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