Twelve fundamental and two sextet fermion flavors

Abstract

We report extended simulation results and their new analysis in two important gauge theories with twelve fermion flavors in the fundamental SU(3) color representation and two fermions in the sextet representation. We probe the $N_f=12$ model with respect to the conformal window using mass deformed finite size scaling (FSS) theory driven by the fermion mass anomalous dimension. Our results at fixed gauge coupling show problems with the conformal scenario of the $N_f=12$ model. In the sextet model with two flavors, under the conformal hypothesis, we determine large values for the anomalous fermion mass dimension with $\gamma \ge 1$. Since our sextet analysis favors the chiral symmetry breaking hypothesis without conformality, the large exponent $\gamma$ could play an important role in understanding the composite Higgs mechanism. The new results discussed here include our extended data sets and exceed what was presented at the conference.

Contribution to the XXIX International Symposium on Lattice Field Theory - Lattice 2011

References in corpus (9)

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Cited by in corpus (6)

• Lattice tests of beyond Standard Model dynamics
• Can the nearly conformal sextet gauge model hide the Higgs impostor?
• Nonperturbative beta function of eight-flavor SU(3) gauge theory
• Mass anomalous dimension in sextet QCD
• Confining force and running coupling with twelve fundamental and two sextet fermions
• The running coupling of the minimal sextet composite Higgs model