  We perform a global analysis of Beauty, Top, $Z$ and Drell-Yan measurements
in the framework of the Standard Model effective theory (SMEFT). We work within
the minimal flavor violation (MFV) hypothesis, which relates different sectors
and generations beyond the $SU(2)_L$-link between left-handed top and beauty
quarks. We find that the constraints on the SMEFT Wilson coefficients from the
combined analysis are stronger than the constraints from a fit to the
individual sectors, highlighting synergies in the global approach. We also show
that constraints within MFV are strengthened compared to single-generation
fits. The strongest bounds are obtained for the semileptonic four-fermion
triplet operator $C_{lq}^{(3)}$, probing scales as high as $18$ TeV, followed
by the gluon dipole operator $C_{uG}$ with $7$ TeV, and other four-fermion and
penguin operators in the multi-TeV range. Operators with left-handed quark
bilinears receive order one contributions from higher orders in the MFV
expansion induced by the top Yukawa coupling as a result of the FCNC $b \to s
\mu \mu$ anomalies combined with the other sectors. We predict the $68\%$
credible intervals of the dineutrino branching ratios within MFV as $5.3 \cdot
10^{-6} \leq {\cal{B}}(B^0 \to K^{* 0} \nu \bar\nu) \leq 12.8 \cdot 10^{-6}$
and $ 2.5 \cdot 10^{-6} \leq {\cal{B}}(B^+ \to K^+ \nu \bar\nu) \leq 5.9 \cdot
10^{-6}$, which include the respective Standard Model predictions, and are in
reach of the Belle II experiment. We show how future measurements of the
dineutrino branching ratios can provide insights into the structure of new
physics in the global fit.
