On the gauge boson’s properties in a candidate technicolor theory

Abstract

The technicolor scenario replaces the Higgs sector of the standard model with a strongly interacting sector. One candidate for a realization of such a sector is twotechnicolor Yang-Mills theory coupled to two degenerate flavors of adjoint, massless techniquarks.Using lattice gauge theory the properties of the technigluons in this scenario are investigated as a function of the techniquark mass towards the massless limit. For that purpose the minimal Landau gauge two-point and three-point correlation functions are determined, including a detailed systematic error analysis.The results are, within the relatively large systematic uncertainties, compatible with a behavior very similar to QCD at finite techniquark mass. However, the limit of massless techniquarks exhibits features which could be compatible with a (quasi-)conformal behavior.

Non-perturbative aspects in a weakly interacting Higgs sector

“…It is shown in the left panel of figure 2. While it shows a slow decay towards higher momenta, it quickly vanishes in the infrared, just like in pure Yang-Mills theory [9].…”

“…The propagation of the elementary W and Higgs particles are described by the gauge-dependent and renormalization-scheme-dependent 2-point functions W a µ W b ν (x − y) and φ +a φ b (x − y), respectively [7]. Thus, it is necessary to fix a gauge to determine them, which will be here the non-aligned [8] minimal Landau gauge [9], see again [3] for implementation and renormalization details.…”

“…While this is the case for all propagators and the gauge vertices, the naive definition of the Higgs-W vertex is not, and one has to relegate to a flavor-invariant one. Then the calculation of all vertices is straight-forward [9,13], since there are no disconnected contributions in the present gauge. The left panel shows the running weak fine structure constant, as determined from the two-point functions [10,11] on a 24 4 lattice with a lattice spacing of (147 GeV) −1 , see [3,10] for details.…”

“…These lattice simulations yet lack infinite-volume and continuum-extrapolation, a determination of decay properties, and, probably much more importantly, the effects of QED and fermions, which may influence such states quite significantly. Especially parity violations will be a serious challenge, but the combination of lattice and continuum methods, working so well for QCD [9], may provide an option. For this, the results from sections 2 and 3 will be very important.…”

The anomalous mass dimension from the techniquark propagator in Minimal Walking Technicolor

“…Finally we have to set the scale. This task was already done in a preceding work investigating technigluonic two-point and three-point functions [13]. In this work the mass of the scalar glueball is set to 2 TeV.…”