title: Dilaton chiral perturbation theory: determining the mass and decay constant of the technidilaton on the lattice.
abstract: 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.
authors.affiliation: Institute for Advanced Research, Nagoya University, Nagoya 464-8602, Japan and Department of Physics, Nagoya University, Nagoya 464-8602, Japan.
authors.forename: Shinya
authors.initials: S
authors.lastname: Matsuzaki
authors.affiliation: Kobayashi-Maskawa Institute for the Origin of Particles and the Universe (KMI), Nagoya University, Nagoya 464-8602, Japan.
authors.forename: Koichi
authors.initials: K
authors.lastname: Yamawaki