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Infrared fixed point and anomalous dimensions in a composite Higgs model

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arxiv 2304.11729 v3 pith:5LVXKASF submitted 2023-04-23 hep-lat hep-ph

Anna Hasenfratz , Ethan T. Neil , Yigal Shamir , Benjamin Svetitsky , Oliver Witzel This is my paper · ORCID
classification hep-lathep-ph
keywords fixedpointanomalouscompositemodeltheorydimensionsflow
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We use lattice simulations and the continuous renormalization-group method, based on the gradient flow, to study a candidate theory of composite Higgs and a partially composite top. The model is an SU(4) gauge theory with four Dirac fermions in each of the fundamental and two-index antisymmetric representations. We find that the theory has an infrared fixed point at $g^2 \simeq 15.5$ in the gradient flow scheme. The mass anomalous dimension of each representation is large at the fixed point. On the other hand, the anomalous dimensions of top-partner operators do not exceed 0.5 at the fixed point. This may not be large enough for a phenomenologically successful model of partial compositeness.

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Cited by 3 Pith papers

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

  1. Gauge-Fermion Cartography: from confinement and chiral symmetry breaking to conformality

    hep-th 2024-12 conditional novelty 7.0 of 10

    A non-perturbative fRG calculation charts confinement and chiral symmetry breaking across flavour number and predicts the conformal window boundary at Nf = 9.60 for Nc = 3.

  2. Meson spectroscopy in the $Sp(4)$ gauge theory with three antisymmetric fermions

    hep-lat 2024-12 conditional novelty 6.0 of 10

    Lattice simulations of Sp(4) with three antisymmetric Dirac fermions find QCD-like confinement and chiral symmetry breaking, and provide a first continuum-extrapolated meson spectrum.

  3. Progress on the spectroscopy of an Sp(4) gauge theory coupled to matter in multiple representations

    hep-lat 2024-11 conditional novelty 5.0 of 10

    Preliminary lattice spectra of mesons, flavor singlets, and chimera baryons in fully dynamical Sp(4) gauge theory with fermions in two representations are presented.

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