  Disordered non-interacting systems in sufficiently high dimensions have been
predicted to display a non-Anderson disorder-driven transition that manifests
itself in the critical behaviour of the density of states and other physical
observables. Recently the critical properties of this transition have been
extensively studied for the specific case of Weyl semimetals by means of
numerical and renormalisation-group approaches. Despite this, the values of the
critical exponents at such a transition in a Weyl semimetal are currently under
debate. We present an independent calculation of the critical exponents using a
two-loop renormalisation-group approach for Weyl fermions in $2-\varepsilon$
dimensions and resolve controversies currently existing in the literature.
