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In this contribution, we report on our study of the properties of the Wilsonflow and on the calculation of the topological susceptibility of $Sp(N_c)$gauge theories for $N_c=2,\,4,\,6,\,8$. The Wilson flow is shown to scaleaccording to the quadratic Casimir operator of the gauge group, as was alreadyobserved for $SU(N_c)$, and the commonly used scales $t_0$ and $w_0$ areobtained for a large interval of the inverse coupling for each probed value of$N_c$. The continuum limit of the topological susceptibility is computed and weconjecture that it scales with the dimension of the group. The latticemeasurements performed in the $SU(N_c)$ Yang-Mills theories by severalindependent collaborations allow us to test this conjecture and to obtain auniversal large-$N_c$ limit of the rescaled topological susceptibility.

Topological susceptibility, scale setting and universality from $Sp(N_c)$ gauge theories