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

Abstract

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 $\overline{\text{MS}}$ 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. In order to test systematic effects in our computation we compare two different lattice operators, three different flow definitions, and two volume extrapolations. We find agreement among these different approaches in the continuum limit when the gradient flow parameter $c\gtrsim 0.35$. Considering the potential phenomenological impact of this model, it is important to understand the origin of the disagreement between our work and the staggered fermion results.

19 pages, 9 figures

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• Strong dynamics, composite Higgs and the conformal window
• Extended investigation of the twelve-flavor $\beta$-function
• Proof of the renormalizability of the gradient flow
• Electroweak interactions and dark baryons in the sextet BSM model with a composite Higgs particle
• Collider Tests of (Composite) Diphoton Resonances
• The gradient flow running coupling in SU(2) gauge theory with $N_f=8$ fundamental flavors
• The running coupling from gluon and ghost propagators in the Landau gauge: Yang-Mills theories with adjoint fermions
• The chiral phase transition for lattice QCD with 2 colour-sextet quarks
• Nonperturbative results for two-index conformal windows
• Conformal symmetry vs. chiral symmetry breaking in the SU(3) sextet model
• Studies of Conformal Behavior in Strongly Interacting Quantum Field Theories
• Running coupling of the sextet composite Higgs model
• Non-perturbative O(a) improvement of the SU(3) sextet model