Rare B decays in the flip SU(5) Model

In the testable Flipped $SU(5)\times U(1)_X$ model with TeV-scale vector-like particles from F-theory model building dubbed as the flip SU(5) model, we study the vector-like quark contributions to B physics processes, including the quark mass spectra, Feynman rules, new operators and Wilson coefficients, etc. We focus on the implications of the vector-like quark mass scale on B physics. We find that there exists the $\bar{s}bZ$ interaction at tree level, and the Yukawa interactions are changed. Interestingly, different from many previous models, the effects of vector-like quarks on rare B decays such as $B\to X_s\gamma$ and $B\to X_s\ell^+\ell^-$ do not decouple in some viable parameter space, especially when the vector-like quark masses are comparable to the charged Higgs boson mass. Under the constraints from $B\to X_s\gamma$ and $\ B\to X_s\ell^+\ell^-$, the latest measurement for $B_s\to \mu^+\mu^-$ can be explained naturally, and the branching ratio of $B_s\to \ell^+\ell^-\gamma$ can be up to $(4\sim5)\times10^{-8}$. The non-decouling effects are much more predictable and thus the \fsu5 model may be tested in the near future experiments.