  Current experimental data on the 125 GeV Higgs boson still allow room for
large CP violation. The observables usually considered in this context are
triple product asymmetries, which require an input of four visible particles
after imposing momentum conservation. We point out a new class of CP violating
observables in Higgs physics which require only three reconstructed momenta.
They may arise if the process involves an interference of amplitudes with
different intermediate particles, which provide distinct strong phases in the
form of the Breit-Wigner widths, in addition to possible weak phases that arise
from CP violating couplings of the Higgs in the Lagrangian. As an example, we
propose a forward-backward asymmetry of the charged lepton in the three-body
Higgs decay, $h\to \ell^-\ell^+ \gamma$, as a probe for CP-violating Higgs
couplings to $Z\gamma$ and $\gamma\gamma$ pairs. Other processes exhibiting
this type of CP-violation are also discussed.
