Effective field theory for pions and a dilatonic meson

Abstract

Numerical simulations of QCD-like theories which are chirally broken but exhibit a very small beta function reveal a flavor-singlet scalar, or "dilatonic meson," which is much lighter than any other states except pions. We develop a systematic low-energy expansion for the pions and the dilatonic meson, in which the presence of the latter is attributed to an approximate scale symmetry. In order to justify the power counting we invoke the Veneziano limit, in which the number of flavors $N_f$ in the fundamental representation grows in proportion with the number of colors $N_c$, while the ratio $N_f/N_c$ is kept close to, but below, the critical value where the conformal window is entered.

arXiv comment14 pages, presented at LATTICE 2016, Southampton

References in corpus (8)

• Composite Higgses
• Tasi 2009 lectures: The Higgs as a Composite Nambu-Goldstone Boson
• Hyperscaling relations in mass-deformed conformal gauge theories
• Light composite scalar in eight-flavor QCD on the lattice
• Strongly interacting dynamics and the search for new physics at the LHC
• Lattice tests of beyond Standard Model dynamics
• Low-energy effective action for pions and a dilatonic meson
• Anomalous dimensions on the lattice

Cited by in corpus (8)

• The Dilaton Potential and Lattice Data
• Strong dynamics, composite Higgs and the conformal window
• Crawling technicolor
• Application of dilaton chiral perturbation theory to $N_f=8$, $\mathrm{SU}(3)$ spectral data
• Explorations beyond dilaton chiral perturbation theory in the eight-flavor SU(3) gauge theory
• Looking behind the Standard Model with lattice gauge theory
• Dilatonic states near holographic phase transitions
• Beyond the Standard Model: Charting Fundamental Interactions via Lattice Simulations