  We study the inelastic neutron scattering cross section in the vicinity of
touching points in magnon bands. Among the possible touching points are magnon
Weyl points in three dimensional ordered magnets with significant spin-orbit
coupling that are characterized by a linear dispersion in their vicinity. A
Weyl point is topologically protected by its net chirality and here we show
that this leads to a characteristic form for the dynamical structure factor. To
address this question, we show that scattering intensities in the vicinity of
arbitrary magnon two-band touching points are identical to expectation values
of the pseudospin polarization along some direction $\hat{\boldsymbol{n}}$ in
momentum space fixed by the magnetic Hamiltonian. This approach applied to Weyl
points shows that they are singular points in the intensity of the form
$\hat{\boldsymbol{n}}\cdot \delta\hat{\boldsymbol{k}}$ regardless of the
magnetic ground state. We make specific predictions for the experimental
signatures of such intensity singularities in several spin models hosting Weyl
magnons applicable to candidate materials.
