  In this talk, I describe a global fit to $B \to PP$ decays, where $B = \{B^0,
B^+, B_s^0\}$ and the pseudoscalar $P = \{\pi, K\}$, under the assumption of
flavour SU(3) symmetry [SU(3)$_F$]. It is found that the individual fits to
$\Delta S=0$ or $\Delta S=1$ decays are good, but the combined fit is very
poor: there is a $3.6\sigma$ disagreement with the standard model. (This is
quite a bit larger than the anomaly in $b \to s \ell^+ \ell^-$ transitions.)
This discrepancy can be removed by adding SU(3)$_F$-breaking effects, but
1000\% SU(3)$_F$ breaking is required, considerably more than the $\sim 20\%$
breaking of $f_K/f_\pi - 1$. These results are rigorous, group-theoretically --
no theoretical assumptions have been made. But when one adds a single
assumption motivated by QCD factorization, the discrepancy grows to
$4.4\sigma$. These are the anomalies in hadronic $B$ decays. Although one
cannot yet claim that new physics is present, it is clear that something very
unexpected is going on.
