  The coefficient $C_T$ of the conformal energy-momentum tensor two-point
function is determined for the non-unitary scalar CFTs with four- and
six-derivative kinetic terms. The results match those expected from large-$N$
calculations for the CFTs arising from the $O(N)$ non-linear sigma and
Gross-Neveu models in specific even dimensions. $C_T$ is also calculated for
the CFT arising from $(n-1)$-form gauge fields with derivatives in $2n+2$
dimensions. Results for $(n-1)$-form theory extended to general dimensions as a
non-gauge-invariant CFT are also obtained; the resulting $C_T$ differs from
that for the gauge-invariant theory. The construction of conformal primaries by
subtracting descendants of lower-dimension primaries is also discussed. For
free theories this also leads to an alternative construction of the
energy-momentum tensor, which can be quite involved for higher-derivative
theories.
