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We study the discrete beta function of SU(3) gauge theory with Nf=12 massless fermions in the fundamental representation. Using an nHYP-smeared staggered lattice action and an improved gradient flow running coupling $tilde g_c^2(L)$ we determine the continuum-extrapolated discrete beta function up to $g_c^2 approx 8.2$. We observe an IR fixed point at $g_{star}^2 = 7.3left(_{-2}^{+8}right)$ in the $c = sqrt{8t} / L = 0.25$ scheme, and $g_{star}^2 = 7.3left(_{-3}^{+6}right)$ with c=0.3, combining statistical and systematic uncertainties in quadrature. The systematic effects we investigate include the stability of the $(a / L) to 0$ extrapolations, the interpolation of $tilde g_c^2(L)$ as a function of the bare coupling, the improvement of the gradient flow running coupling, and the discretization of the energy density. In an appendix we observe that the resulting systematic errors increase dramatically upon combining smaller $c lesssim 0.2$ with smaller $L leq 12$, leading to an IR fixed point at $g_{star}^2 = 5.9(1.9)$ in the c=0.2 scheme, which resolves to $g_{star}^2 = 6.9left(_{-1}^{+6}right)$ upon considering only $L geq 16$. At the IR fixed point we measure the leading irrelevant critical exponent to be $gamma_g^{star} = 0.26(2)$, comparable to perturbative estimates.
We report new results from high precision analysis of an important BSM gauge theory with twelve massless fermion flavors in the fundamental representation of the SU(3) color gauge group. The range of the renormalized gauge coupling is extended from o
We present new lattice investigations of finite-temperature transitions for SU(3) gauge theory with Nf=8 light flavors. Using nHYP-smeared staggered fermions we are able to explore renormalized couplings $g^2 lesssim 20$ on lattice volumes as large a
We present details of a lattice study of infrared behaviour in SU(3) gauge theory with twelve massless fermions in the fundamental representation. Using the step-scaling method, we compute the coupling constant in this theory over a large range of sc
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 lig
We present a quenched lattice calculation of all six form factors: vector [f_1(q^2)], weak magnetism [f_2(q^2)], induced scalar [f_3(q^2)], axial-vector [g_1(q^2)], weak electricity [g_2(q^2)] and induce pseudoscalar [g_3(q^2)] form factors in hypero