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Multi-representation dynamics of SU(4) composite Higgs models: chiral limit and spectral reconstructions

2023; Springer Science+Business Media; Volume: 83; Issue: 3 Linguagem: Inglês

10.1140/epjc/s10052-023-11363-8

1434-6052

Luigi Del Debbio, Alessandro Lupo, Marco Panero, Nazario Tantalo,

Black Holes and Theoretical Physics

Abstract We present a lattice study of the SU (4) gauge theory with two Dirac fermions in the fundamental and two in the two-index antisymmetric representation, a model close to a theory of partial compositeness proposed by G. Ferretti. Focus of this work are the methodologies behind the computation of the spectrum and the extrapolation of the chiral point for a theory with matter in multiple representations. While being still technical, this study provides important steps towards a non-perturbative understanding of the spectrum of theories of partial compositeness, which present a richer dynamics compared to single-representation theories. The multi-representation features are studied first in perturbation theory, and then non-perturbatively by adopting a dual outlook on lattice data through a joint analysis of time-momentum correlation functions and smeared spectral densities.