2020/07/31 by Thomas Appelquist, Richard C. Brower, K. K. Cushman +15 · 29 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Computer science #Conformal map #Dynamics (music) #Geometry #Mathematics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Statistical physics #hep-lat #hep-ph
paper · pdf · doi:10.1103/physrevd.103.014504
published in Physical review. D/Physical review. D. 103(1) (American Physical Society) · 7 pages, 5 figures, v2 version published in Phys. Rev. D
openalex publication_date 2021/01/05 · arxiv created 2021/01/07 · arxiv updated 2021/01/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
Composite Higgs models must exhibit very different dynamics from quantum chromodynamics (QCD) regardless whether they describe the Higgs boson as a dilatonlike state or a pseudo-Nambu-Goldstone boson. Large separation of scales and large anomalous dimensions are frequently desired by phenomenological models. Mass-split systems are well-suited for composite Higgs models because they are governed by a conformal fixed point in the ultraviolet but are chirally broken in the infrared. In this work we use lattice field theory calculations with domain wall fermions to investigate a system with four light and six heavy flavors. We demonstrate how a nearby conformal fixed point affects the properties of the four light flavors that exhibit chiral symmetry breaking in the infrared. Specifically we describe hyperscaling of dimensionful physical quantities and determine the corresponding anomalous mass dimension. We obtain ym=1+\ensuremathγ*=1.47(5) suggesting that Nf=10 lies inside the conformal window. Comparing the low energy spectrum to predictions of dilaton chiral perturbation theory, we observe excellent agreement which supports the expectation that the 4+6 mass-split system exhibits near-conformal dynamics with a relatively light 0++ isosinglet scalar.