Abstract
Mass-split systems based on a conformal infrared fixed point provide a lowenergy effective description of beyond the standard model systems with large scale separation. We report results of exploratory investigations with four light and eight heavy flavors using staggered fermions, and up to five different values for the light flavor mass, five different heavy flavor masses, and two values of the bare gauge coupling.
Highlights
We focus on “beyond the standard model” (BSM) theories based on strong dynamics
While with some gauge groups a theory can be inside the conformal window with few fermions, in other cases, and most notably with the SU(3) gauge group, a large number of fermions is required to get a model with an infrared fixed point (IRFP)
We note that Mπ/Fπ decreases towards zero for m /mh → 0, giving evidence of chiral symmetry breaking
Summary
We focus on “beyond the standard model” (BSM) theories based on strong dynamics. These theories assume the existence of a strongly coupled system of gauge fields and fermions with a broken chiral symmetry: three Goldstone bosons provide the longitudinal components of the W’s and Z, while the Higgs emerges either as a pseudo-Goldstone boson or as a dilaton. The conclusion will be that “mass broken conformal theories” have remarkable properties of universality, not unlike QCD where with massless quarks the theory is independent of any coupling constant. The continuum limit is recovered by letting β → ∞: in this limit dimensionless ratios of observables approach their continuum values, any non-vanishing observable can be used to set the scale and all other observables are fully determined in a manner independent of any free parameter (dimensional transmutation.) We may take one or two masses, am1, am2, different from zero.
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