  We present a functional renormalization group calculation of the properties
of a quantum critical metal in $d=2$ spatial dimensions. Our theory describes a
general class of Pomeranchuk instabilities with $N_b$ flavors of boson. At
small $N_b$ we find a family of fixed points characterized by weakly
non-Fermi-liquid behavior of the conduction electrons and $z \approx 2$
critical dynamics for the order parameter fluctuations, in agreement with the
scaling observed by Schattner et al. [Phys. Rev. X 6, 031028 (2016)] for the
Ising-nematic transition. Contrary to recent suggestions that this represents
an intermediate regime en route to the scaling limit, our calculation suggests
that this behavior may persist all the way to the critical point. As the number
of bosons $N_b$ is increased, the model's fixed-point properties cross over to
$z \approx 1$ scaling and non-Fermi-liquid behavior similar to that obtained by
Fitzpatrick et al. [Phys. Rev. B 88, 125116 (2013)].
