  A phenomenologically viable theory of quantum gravity must accommodate all
observed matter degrees of freedom and their properties. Here, we explore
whether a toy model of the Higgs-Yukawa sector of the Standard Model is
compatible with asymptotically safe quantum gravity. We discuss the
phenomenological implications of our result in the context of the Standard
Model. We analyze the quantum scaling dimension of the system, and find an
irrelevant Yukawa coupling at a joint gravity-matter fixed point. Further, we
explore the impact of gravity-induced couplings between scalars and fermions,
which are non-vanishing in asymptotically safe gravity.
