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Multi-Representation Dynamics of SU(4) Composite Higgs Models: Chiral Limit and Spectral Reconstructions

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arxiv 2211.09581 v1 pith:233ZNKWU submitted 2022-11-17 hep-lat hep-ph

Multi-Representation Dynamics of SU(4) Composite Higgs Models: Chiral Limit and Spectral Reconstructions

classification hep-lat hep-ph
keywords theorychiralcompositenessdynamicslatticemulti-representationpartialspectral
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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. 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.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Isospin-breaking effects in inclusive hadronic $\tau$ data for the muon $(g-2)$ from first principles

    hep-lat 2026-07 unverdicted novelty 6.0

    A lattice QCD+QED strategy is outlined for calculating isospin-breaking effects in inclusive tau decays to support high-precision HVP contributions to muon g-2.

  2. Extraction of spectral densities from lattice correlators: decoupling signal from noise

    hep-lat 2026-05 unverdicted novelty 6.0

    Alternative truncation-based procedure for smeared spectral density extraction from lattice correlators using SVD-style decomposition to decouple noise from signal.

  3. Kernel transformations and bounds for smeared spectral functions

    hep-lat 2026-06 unverdicted novelty 5.0

    Framework for exact and approximate kernel transformations between smeared spectral functions, including systematic error bounds computable from input data.

  4. SU(2) gauge theory with one and two adjoint fermions towards the continuum limit

    hep-lat 2024-07 unverdicted novelty 5.0

    Extended lattice simulations yield continuum-limit anomalous dimensions γ* = 0.170(6) for Nf=1 and γ* = 0.291(9) for Nf=2 adjoint SU(2), with chiral perturbation theory ruling out spontaneous chiral symmetry breaking.