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Light flavor-singlet scalars and walking signals in Nf=8 QCD on the lattice

Yasumichi Aoki, Tatsumi Aoyama, Ed Bennett, Masafumi Kurachi, Toshihide Maskawa, Kohtaroh Miura, Kei-ichi Nagai, Hiroshi Ohki, Enrico Rinaldi, Akihiro Shibata, Koichi Yamawaki, Takeshi Yamazaki, Ed Bennett Orcid Logo

Physical Review D, Volume: 96, Issue: 1

Swansea University Author: Ed Bennett Orcid Logo

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DOI (Published version): 10.1103/PhysRevD.96.014508

Abstract

Based on the highly improved staggered quark action, we perform lattice simulations of Nf=8 QCD and confirm our previous observation of a flavor-singlet scalar meson (denoted as σ) as light as the pion and various "walking signals" through low-lying spectra, with higher statistics, smaller...

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Published in: Physical Review D
ISSN: 2470-0010 2470-0029
Published: 2017
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa34263
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Abstract: Based on the highly improved staggered quark action, we perform lattice simulations of Nf=8 QCD and confirm our previous observation of a flavor-singlet scalar meson (denoted as σ) as light as the pion and various "walking signals" through low-lying spectra, with higher statistics, smaller fermion masses mf, and larger volumes. We measure Mπ, Fπ, Mρ, Ma0, Ma1, Mb1, MN, Mσ, Fσ, ⟨ψ¯ψ⟩ (both directly and through the GMOR relation), and the string tension. The data are consistent with the spontaneously broken phase of the chiral symmetry, in agreement with the previous results: ratios of the quantities to Mπ monotonically increase in the smaller mf region towards the chiral limit similarly to Nf=4 QCD, in sharp contrast to Nf=12 QCD where the ratios become flattened. The hyperscaling relation holds with roughly a universal value of the anomalous dimension, γm≃1, with a notable exception of Mπ with γm≃0.6 as in the previous results. This is a salient feature ("walking signal") of Nf=8, unlike either Nf=4 which has no hyperscaling relation at all, or Nf=12 QCD which exhibits universal hyperscaling. We further confirm the previous observation of the light σ with mass comparable to the pion in the studied mf region. In a chiral limit extrapolation of the σ mass using the dilaton chiral perturbation theory and also using the simple linear fit, we find the value consistent with the 125 GeV Higgs boson within errors. Our results suggest that the theory could be a good candidate for walking technicolor model, having anomalous dimension γm≃1 and a light flavor-singlet scalar meson as a technidilaton, which can be identified with the 125 GeV composite Higgs in Nf=8 one-family model.
Keywords: lattice gauge theory, walking technicolor, many-flavour QCD, beyond the standard model
College: Faculty of Science and Engineering
Issue: 1

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