  We consider the application of a Fleischer$-$Jegerlehner-like treatment of
tadpoles to the calculation of neutral scalar masses (including the Higgs) in
general theories beyond the Standard Model. This is especially useful when the
theory contains new scalars associated with a small expectation value, but
comes with its own disadvantages. We show that these can be overcome by
combining with effective field theory matching. We provide the formalism in
this modified approach for matching the quartic coupling of the Higgs via pole
masses at one loop, and apply it to both a toy model and to the $\mu$NMSSM as
prototypes where the standard treatment can break down.
