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.

Del Debbio, L., Lupo, A., Panero, M., Tantalo, N. (2023). Multi-representation dynamics of SU(4) composite Higgs models: chiral limit and spectral reconstructions. THE EUROPEAN PHYSICAL JOURNAL. C, PARTICLES AND FIELDS, 83(3) [10.1140/epjc/s10052-023-11363-8].

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

Nazario Tantalo
2023-01-01

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.
2023
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore FIS/02 - FISICA TEORICA, MODELLI E METODI MATEMATICI
English
Del Debbio, L., Lupo, A., Panero, M., Tantalo, N. (2023). Multi-representation dynamics of SU(4) composite Higgs models: chiral limit and spectral reconstructions. THE EUROPEAN PHYSICAL JOURNAL. C, PARTICLES AND FIELDS, 83(3) [10.1140/epjc/s10052-023-11363-8].
Del Debbio, L; Lupo, A; Panero, M; Tantalo, N
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/320848
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