https://doi.org/10.1140/epjc/s10052-023-11363-8
Regular Article - Theoretical Physics
Multi-representation dynamics of SU(4) composite Higgs models: chiral limit and spectral reconstructions
1
Higgs Centre for Theoretical Physics, School of Physics and Astronomy, The University of Edinburgh, Peter Guthrie Tait Road, EH9 3FD, Edinburgh, UK
2
University of Turin and INFN Turin, Via Pietro Giuria 1, 10125, Turin, Italy
3
University and INFN of Roma Tor Vergata, Via della Ricerca Scientifica 1, 00133, Rome, Italy
Received:
20
December
2022
Accepted:
26
February
2023
Published online:
16
March
2023
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.
© The Author(s) 2023
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