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Sp(4) gauge theory on the lattice: towards SU(4)/Sp(4) composite Higgs (and beyond)

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arxiv 1712.04220 v2 pith:TSHK32L2 submitted 2017-12-12 hep-lat hep-ph

Sp(4) gauge theory on the lattice: towards SU(4)/Sp(4) composite Higgs (and beyond)

Ed Bennett , Deog Ki Hong , Jong-Wan Lee , C.-J. David Lin , Biagio Lucini , Maurizio Piai , Davide Vadacchino This is my paper
classification hep-lat hep-ph
keywords theorylatticedynamicalfermionsfirstgaugenumericalperform
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The Sp(4) gauge theory with two Dirac fundamental flavours provides a candidate for the microscopic origin of composite-Higgs models based on the SU(4)/Sp(4) coset. We employ a combination of two different, complementary strategies for the numerical lattice calculations, based on the Hybrid Monte Carlo and on the Heat Bath algorithms. We perform pure Yang-Mills, quenched computations and exploratory studies with dynamical Wilson fermions. We present the first results in the literature for the spectrum of glueballs of the pure Sp(4) Yang-Mills theory, an EFT framework for the interpretation of the masses and decay constants of the lightest pion, vector and axial-vector mesons, and a preliminary calculation of the latter in the quenched approximation. We show the first numerical evidence of a bulk phase transition in the lattice theory with dynamical Wilson fermions, and perform the technical steps necessary to set up future investigations of the mesonic spectrum of the full theory.

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Cited by 5 Pith papers

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

  1. Composite top partners in exotic colour representations

    hep-ph 2026-05 unverdicted novelty 6.0

    Colour-sextet top partners in composite Higgs models are excluded up to 2-2.5 TeV by current LHC data via top-rich decays, with HL-LHC reach near 3 TeV.

  2. Lattice studies of chimera baryons in Sp(4) gauge theory

    hep-lat 2026-04 unverdicted novelty 6.0

    Lattice calculations yield the low-lying spectrum of chimera baryons in Sp(4) gauge theory, first in the quenched approximation with continuum and massless limits, then with dynamical fermions via spectral density analysis.

  3. Finite-temperature Yang-Mills theories with the density of states method: towards the continuum limit

    hep-lat 2025-09 unverdicted novelty 5.0

    Density-of-states lattice study of the first-order phase transition in Sp(4) Yang-Mills theory at finite temperature, confirming metastability and surface tension for two temporal extents toward the continuum limit.

  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.

  5. Phenomenology of electroweak spin-1 resonances

    hep-ph 2026-05 unverdicted novelty 4.0

    Composite Higgs models with SU(2)_L × SU(2)_R predict spin-1 resonances mixing with electroweak bosons that remain viable at the LHC down to masses of about 1.5 TeV.