2016/07/22 by Hiroki Nishihara, Nishihara, Hiroki, Masayasu Harada +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph
paper · pdf · doi:10.48550/arxiv.1607.06559
17 pages, 3 figures, 8 tables
arxiv created 2016/07/22 · openalex publication_date 2016/07/22 · arxiv updated 2016/07/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Motivated by recent results by lattice analysis, we assume that the spin-1 mesons of ( ρ, ω, a1, ρ', ω', b1, f1, h1) make a representation of 16 of U(4) emergent symmetry in two-flavor QCD when the chiral symmetry is not broken. We study the decay properties of the spin-1 mesons by using a chiral model with an SU(4)×U(1) hidden local symmetry. We first show that, since the SU(4) symmetry is spontaneously broken together with the chiral symmetry, each coupling of the interaction among one pion and two spin-1 mesons is proportional to the mass difference of the relevant spin-1 mesons similarly to the Goldberger-Treiman relation. In addition, some of one-pion couplings are related with each other by the SU(4) symmetry. We further show that there is a relation among the mass of ρ' meson, the ρ'ππ coupling and the ρ'-photon mixing strength as well as the Kawarabayashi-Suzuki-Riazuddin-Fayyazuddin relation for the ρ meson. From the relations, we give numerical predictions such as ratios of the spin-1 meson decay widths, which are compared with future experiments for testing the existence of the U(4) emergent symmetry.