Large $$N_\mathrm{f}$$ for multiple representations

Abstract

We present an extension of the large-$$N_\mathrm{f}$$ N f formalism that allows one to study cases with multiple fermion representations. The pole structure in the beta function is traced back to the intrinsic non-abelian nature of the gauge group, independently from the fermion representation. This result validates the conjectured existence of an interactive UV fixed point for non-abelian gauge theories with large fermion multiplicity. Finally, we apply our results to chiral gauge theories.

The Techni-Pati-Salam Composite Higgs

“…The main goal of our PUPC approach [65] is to provide a genuine UV completion for composite Higgs models with top partial compositeness, which could explain the origin of the partial compositeness couplings and flavor physics. The theory also needs to be valid all the way up to the Planck scale, where quantum gravity effects become relevant.…”

“…In the present work, we follow the route opened in Ref. [65] within the partially unified partial compositeness (PUPC) framework: the confining gauge symmetry is partially unified with the SM ones, with the gauge symmetry breaking due to high-scale scalars. In this sense, this approach lies in between the early extended Technicolor approaches and theories with scalars, while retaining the ambition of achieving a complete theory of flavor in a natural way, i.e.…”

“…While the general idea is described in Ref. [65], here we focus specifically on the Techni-Pati-Salam (TPS) model based on a partially unified gauge symmetry…”

Composite Higgs Meets Planck Scale: Partial Compositeness from Partial Unification

“…The theory then exits the walking regime at a lower scale, Λ HC ≈ 10 TeV, where the Higgs coset is SU (4)/Sp(4) or SU (6)/Sp(6) depending on the hyperfermion masses. In this letter we have demonstrated that fermion masses and flavor mixing can be generated, while more detailed aspects will be presented in a forthcoming publication [38]. We focus on a scenario where baryon number is preserved, thus avoiding proton/neutron decays, offering as a consequence an accidental fermionic Dark Matter candidate around the TeV scale.…”

“…In the following we will focus on the generation of the flavour couplings and leave a detailed study of the scalar sector to a further study. More details on this model will be presented in a forthcoming technical publication [38].…”