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We consider a large family of dynamical Belyi maps of arbitrary degree andstudy the arithmetic monodromy groups attached to the iterates of such maps.Building on the results of Bouw-Ejder-Karemaker on the geometric monodromygroups of these maps, we show that the quotient of the arithmetic monodromygroup by the geometric monodromy group has order either $1$ or $2$. Prior tothis article, a result of this kind was only known for quadratic maps (Pink)and a few examples in degree $3$.

Arithmetic Monodromy Groups of Dynamical Belyi maps