The renormalization group step scaling function of the 2-flavor SU(3) sextet model

Understand

We investigate the discrete $\beta$ function of the 2-flavor SU(3) sextet model using the finite volume gradient flow scheme.

• Our results, using clover improved nHYP smeared Wilson fermions, follow the (non-universal) 4-loop $\overline{\textrm{MS}}$ perturbative predictions closely up to $g^2 \approx 5.5$, the strongest coupling reached in our simulation.
• At strong couplings the results are in tension with a recently published work using the same gradient flow renormalization scheme with staggered fermions.
• Since these calculations define the discrete $\beta$ function in the same continuum renormalization scheme, they should lead to the same continuum predictions, irrespective of the lattice fermion action.