Abstract
We consider the SU(2) gauge theory with Nf = 2 flavors of Dirac fundamental fermions. We study the high-temperature behavior of the spectra of mesons, discretizing the theory on anisotropic lattices, and measuring the two-point correlation functions in the temporal direction as well as screening masses in various channels. We identify the (pseudo-)critical temperature as the temperature at which the susceptibility associated with the Polyakov loop has a maximum. At high temperature both the spin-1 and spin-0 sectors of the light meson spectra exhibit enhanced symmetry properties, indicating the restoration of both the global SU(4) and the axial U(1)A symmetries of the model.
Highlights
The long-distance behavior of the theory is captured by an Effective Field Theory (EFT) that includes the SM gauge theory, supplemented by a set of light, composite pseudo-Goldstone bosons arising at the scale Λ, a subset of which is interpreted as the Higgs doublet field
Additional ingredients, not arising from the SU(2) fundamental gauge theory, are invoked in order to drive spontaneous symmetry breaking in the Higgs sector, which yields electro-weak symmetry breaking (EWSB) at the scale vW Λ
In the rest of this section, we summarize the basic properties of these objects, using the language of effective field theory (EFT)
Summary
What results is a Lagrangian density that includes potentially heavy and strongly-coupled degrees of freedom, and does not yield a calculable weakly-coupled low-energy EFT in the usual sense We use this language to guide our book-keeping exercise, focused on classifying the physical particles, their quantum numbers, and the degeneracies — in particular the difference of mass between the ρ and a1 vectors and between the π and a0 scalars — that are consequences only of the symmetry structure of the theory and its vacuum. 2.1 Composite states: scalars In the low-energy EFT description, the real antisymmetric field Σ transforms as. In the context of composite-Higgs models, the presence of a (small) mass term for the quarks is allowed, contrary to the TC case. We will do so in the body of the paper, using numerical techniques based on the formulation of the theory on anisotropic lattices
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
