The twelve-flavor $\mathbf{\beta }$-function and dilaton tests of the sextet scalar

Abstract

We discuss near-conformal gauge theories beyond the standard model (BSM) where interesting results on the twelve-flavor $\beta$-function of massless fermions in the fundamental representation of the SU(3) color gauge group and dilaton tests of the light scalar with two massless fermions in the two-index symmetric tensor (sextet) representation can be viewed as parts of the same BSM paradigm under investigation. We report results from high precision analysis of the twelve-flavor $\beta$-function \cite{Fodor:2016zil} refuting its published IRFP \cite{Cheng:2014jba,Hasenfratz:2016dou}. We present our objections to recent claims \cite{Hasenfratz:2017mdh,Hasenfratz:2017qyr} for non-universal behavior of staggered fermions used in our analysis. We also report our first analysis of dilaton tests of the light $0^{++}$ scalar in the sextet model and comment on related post-conference developments. The dilaton test is the main thrust of this conference contribution including presentation #405 on the $n_f=12$ $\beta$-function and presentation #260 on dilaton tests of the sextet model. They are both selected from the near-conformal BSM paradigm.

14 pages, 10 figures; Proceedings of the 35th International Symposium on Lattice Field Theory, 18-24 June 2017, Granada, Spain

References in corpus (2)

• The lattice gradient flow at tree-level and its improvement
• Improving the continuum limit of gradient flow step scaling

Cited by in corpus (25)

• Nonperturbative investigations of SU(3) gauge theory with eight dynamical flavors
• The large-mass regime of the dilaton-pion low-energy effective theory
• The Dilaton Potential and Lattice Data
• A Near-Conformal Composite Higgs Model
• Application of dilaton chiral perturbation theory to $N_f=8$, $\mathrm{SU}(3)$ spectral data
• Explorations beyond dilaton chiral perturbation theory in the eight-flavor SU(3) gauge theory
• Near-Conformal Dynamics at Large Charge
• Gradient flow step-scaling function for SU(3) with twelve flavors
• Into the conformal window: multi-representation gauge theories
• Genuine Dilatons in Gauge Theories
• Hidden Conformal Symmetry from the Lattice
• Linear Sigma EFT for Nearly Conformal Gauge Theories
• Goldstone Boson Scattering with a Light Composite Scalar
• Probing the holographic dilaton
• The $\epsilon$-regime of dilaton chiral perturbation theory
• The Coulomb branch of N=4 SYM and dilatonic scions in supergravity
• Dilatonic states near holographic phase transitions
• $\Lambda$ parameter of the SU(3) Yang-Mills theory from the continuous $\beta$ function
• Gradient flow step-scaling function for SU(3) with $N_f=8$ fundamental flavors
• Phase transitions and light scalars in bottom-up holography
• Center vortices and the $\mathrm{SU}(3)$ conformal window
• Gradient flow step-scaling function for SU(3) with $N_f$ = 6 or 4 fundamental flavors
• Dilaton in scalar QFT: a no-go theorem in $4-\epsilon$ and $3-\epsilon$ dimensions
• Fermion mass splitting in the technicolor coupled scenario
• Composite two-Higgs doublet model from dilaton effective field theory