From Walking Gauge Theory to Higgs Compositeness Using EFT
In recent years, many numerical investigations of confining Yang Mills gauge theories near the edge of the conformal window have been carried out using lattice techniques. These studies have revealed that the spectrum of hadrons in nearly conformal ("walking") gauge theories differs significantly from the QCD spectrum. In particular, a light singlet scalar appears in the spectrum which is nearly degenerate with the PNGBs. This state is a viable candidate for a composite Higgs boson.
Presently, an acceptable effective field theory description of the light states in walking theories has not been established. Such an EFT would be useful for performing chiral extrapolations of lattice data and for serving as a bridge between lattice calculations and electroweak scale phenomenology. The chiral Lagrangian fails to describe the IR dynamics of a theory near the edge of the conformal window. We will assess the linear sigma model as an alternate effective description and remark on other candidate EFTs.
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Physics Beyond the Standard Model