  We compute the fully differential rate for the Higgs-boson decay $h\to
Z\ell^+\ell^-$, with $Z\to\ell^{'+}\ell^{'-}$. For these processes we assume
the most general matrix elements within an effective Lagrangian framework. The
electroweak chiral Lagrangian we employ assumes minimal particle content and
Standard Model gauge symmetries, but is otherwise completely general. We
discuss how information on new physics in the decay form factors may be
obtained that is inaccessible in the dilepton-mass spectrum integrated over
angular variables. The form factors are related to the coefficients of the
effective Lagrangian, which are used to estimate the potential size of
new-physics effects.
