Solution (source code)

= Solution

The leading mass correction is the one-vertex <tadpole diagram>: two legs of the quartic $g_0(\boldsymbol\phi^2)^2$ vertex are external and the remaining two form one fast loop. One contraction has a freely summed component index and contributes $N$, while two exchange contractions have their index fixed by the external component. The result is proportional to $N+2$.