Matsuzaki Shinya, Yamawaki Koichi
Institute for Advanced Research, Nagoya University, Nagoya 464-8602, Japan and Department of Physics, Nagoya University, Nagoya 464-8602, Japan.
Kobayashi-Maskawa Institute for the Origin of Particles and the Universe (KMI), Nagoya University, Nagoya 464-8602, Japan.
Phys Rev Lett. 2014 Aug 22;113(8):082002. doi: 10.1103/PhysRevLett.113.082002. Epub 2014 Aug 20.
We propose a scale-invariant chiral perturbation theory of the pseudo-Nambu-Goldstone bosons of chiral symmetry (pion π) as well as the scale symmetry (dilaton ϕ) for large N(f) QCD. The resultant dilaton mass M(ϕ) reads M(ϕ)(2) = m(ϕ)(2)+1/4(3-γ(m))(1+γ(m))(2N(f)F(π)(2)/F(ϕ)(2))m(π)(2)+(chiral log corrections), where m(ϕ), m(π), γ(m), F(π), and F(ϕ) are the dilaton mass in the chiral limit, the pion mass, the mass anomalous dimension, and the decay constants of π and ϕ, respectively. The chiral extrapolation of the lattice data, when plotted as M(ϕ)(2) versus m(π)(2), then simultaneously determines (m(ϕ), F(ϕ)) of the technidilaton in walking technicolor with γ(m) ≃ 1. The chiral logarithmic corrections are explicitly given.
我们为大(N(f))量子色动力学提出了一种手征对称性的赝南布-戈德斯通玻色子（π介子）以及标度对称性（伸缩子ϕ）的标度不变手征微扰理论。所得的伸缩子质量(M(ϕ))为(M(ϕ)^2 = m(ϕ)^2 + \frac{1}{4}(3 - γ(m))(1 + γ(m))(\frac{2N(f)F(π)^2}{F(ϕ)^2})m(π)^2 +)（手征对数修正项），其中(m(ϕ))、(m(π))、(γ(m))、(F(π))和(F(ϕ))分别是手征极限下的伸缩子质量、π介子质量、质量反常维数以及π和ϕ的衰变常数。当将晶格数据的手征外推绘制为(M(ϕ)^2)与(m(π)^2)的关系图时，对于(γ(m) ≃ 1)的行走Technicolor模型，可同时确定技术伸缩子的((m(ϕ), F(ϕ)))。文中明确给出了手征对数修正项。
