Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Relations among pionic decays of spin-1 mesons from an SU(4)$\times$U(1)
  emergent symmetry in QCD   Motivated by recent results by lattice analysis, we assume that the spin-1
mesons of $\left( \rho, \omega, a_1, \rho', \omega', b_1, f_1, h_1\right)$ make
a representation of $\mathbf{16}$ 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)$\times$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 $\rho'$
meson, the $\rho'\pi\pi$ coupling and the $\rho'$-photon mixing strength as
well as the Kawarabayashi-Suzuki-Riazuddin-Fayyazuddin relation for the $\rho$
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.

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The categories of this paper are: hep-th
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The categories of this paper are: astro-ph
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The categories of this paper are: q-fin
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The categories of this paper are: stat
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The categories of this paper are: chem-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-lat
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ex
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The categories of this paper are: supr-con
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The categories of this paper are: quant-ph
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The categories of this paper are: econ
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The categories of this paper are: patt-sol
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The categories of this paper are: atom-ph
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The categories of this paper are: physics
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The categories of this paper are: q-bio