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

Authors: Hiroshi Ohki; Ed Bennett; Kohtaroh Miura; Toshihide Maskawa; Akihiro Shibata; Koichi Yamawaki; Takeshi Yamazaki; +7 Authors

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

Abstract

Based on the highly improved staggered quark action, we perform lattice simulations of $N_f=8$ QCD and confirm our previous observation of a flavor-singlet scalar meson (denoted as $��$) as light as the pion and various "walking signals" through low-lying spectra, with higher statistics, smaller fermion masses $m_f$, and larger volumes. We measure $M_��$, $F_��$, $M_��$, $M_{a_0}$, $M_{a_1}$, $M_{b_1}$, $M_N$, $M_��$, $F_��$, $\langle \bar�� ��\rangle$ (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 $M_��$ monotonically increase in the smaller $m_f$ region towards the chiral limit similarly to $N_f=4$ QCD, in sharp contrast to $N_f=12$ QCD where the ratios become flattened. The hyperscaling relation holds with roughly a universal value of the anomalous dimension, $��_m \simeq 1$, with a notable exception of $M_��$ with $��_m \simeq 0.6$ as in the previous results. This is a salient feature ("walking signal") of $N_f=8$, unlike either $N_f=4$ which has no hyperscaling relation at all, or $N_f=12$ QCD which exhibits universal hyperscaling. We further confirm the previous observation of the light $��$ with mass comparable to the pion in the studied $m_f$ region. In a chiral limit extrapolation of the $��$ 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 $��_m \simeq 1$ and a light flavor-singlet scalar meson as a technidilaton, which can be identified with the 125 GeV composite Higgs in $N_f=8$ one-family model.

132 pages, 66 figures, 39 tables

Countries
United Kingdom, France
Keywords

singlet [flavor], dilaton: technicolor, technicolor [dilaton], chiral [perturbation theory], FOS: Physical sciences, fermion: mass, staggered [fermion], Higgs particle: composite, [PHYS.HLAT] Physics [physics]/High Energy Physics - Lattice [hep-lat], 8 [flavor], symmetry: chiral, composite [Higgs particle], High Energy Physics - Lattice, High Energy Physics - Phenomenology (hep-ph), flavor: 8, quantum chromodynamics, infrared [fixed point], mass: anomalous dimension, numerical calculations, fermion: staggered, lattice, chiral [symmetry], [PHYS.HLAT]Physics [physics]/High Energy Physics - Lattice [hep-lat], new physics, string tension, High Energy Physics - Lattice (hep-lat), [ PHYS.HLAT ] Physics [physics]/High Energy Physics - Lattice [hep-lat], spontaneous symmetry breaking, statistical [error], perturbation theory: chiral, scalar meson, flavor: singlet, [PHYS.HPHE] Physics [physics]/High Energy Physics - Phenomenology [hep-ph], error: statistical, High Energy Physics - Phenomenology, [PHYS.HPHE]Physics [physics]/High Energy Physics - Phenomenology [hep-ph], fixed point: infrared, anomalous dimension [mass], mass [fermion]

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    Top 10%
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    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
60
Top 10%
Top 10%
Top 1%
Green
hybrid