  The unitary Fermi gas, by virtue of its description as a nonrelativistic
conformal field theory, has proven an interesting system by which the quantum
properties of CFT can be held to experimental verification. Here, we examine
the structure of conformal dimensions of charge-Q operators in nonrelativistic
CFT, in the large-Q regime, from the non-linear sigma model perspective. We
discuss in detail the renormalization of edge divergences using dimensional
regularization, elucidating the presence of $\log(Q)$ terms in the large-charge
expansion. Finally we use dimensional regularization to compute the universal
one-loop $Q^0 \log(Q)$ contribution to the ground-state energy in $d = 3$
spatial dimensions, with the result $\left.\Delta(Q)\right|_{Q^0} =
\frac{1}{3\sqrt{3}} \log(Q) + \text{const.}$
