2015/06/30 by Jens Krog, Matin Mojaza, Francesco Sannino · 1 citation
Physics and Astronomy · #hep-ph #hep-lat #hep-th
paper · pdf · doi:10.1103/physrevd.92.085043
published as Phys. Rev. D 92, 085043 (2015) · 20 pages, 9 figures, 10 pages Appendix, corrected typos and reference added
arxiv created 2015/08/03 · arxiv updated 2015/11/04
We elucidate and extend the conditions that map gauge-Yukawa theories at low energies into time-honoured gauged four-fermion interactions at high energies. These compositeness conditions permit to investigate theories of composite dynamics through gauge-Yukawa theories. Here we investigate whether perturbative gauge-Yukawa theories can have a strongly coupled limit at high-energy, that can be mapped into a four-fermion theory. Interestingly, we are able to precisely carve out a region of the perturbative parameter space supporting such a composite limit. This has interesting implications on our current view on models of particle physics. As a template model we use an SU(NC) gauge theory with NF Dirac fermions transforming according to the fundamental representation of the gauge group. The fermions further interact with a gauge singlet complex NF× NF Higgs that ceases to be a physical degree of freedom at the ultraviolet composite scale, where it gives away to the four-fermion interactions. We compute the hierarchy between the ultraviolet and infrared composite scales of the theory and show that they are naturally large and well separated. Our results show that some weakly coupled gauge-Yukawa theories can be viewed, in fact, as composite theories. It is therefore tantalising to speculate that the standard model, with its phenomenological perturbative Higgs sector, could hide, in plain sight, a composite theory.