Chiral Perturbation Theory, Large-N_c and the eta' Mass

Details Chiral Perturbation Theory, Large-N_c and the eta' Mass Chiral Perturbation Theory, Large-N_c and the eta' Mass

1996-05-09

arxiv.org/abs/hep-ph/9605267v1

Phys.Lett. B382 (1996) 138-144

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, Latex, 3 figures using epsf

Scientific paper

10.1016/0370-2693(96)00663-6

Using chiral perturbation theory and the large-$N_c$ expansion, we obtain expressions for the $\eta'$ mass and $\eta - \eta'$ mixing in terms of low-energy chiral Lagrangian parameters. This is accomplished through an intermediate step of `matching' the topological susceptibility in the large-$N_c$ and chiral Lagrangian descriptions. By inserting the values of well-measured parameters we obtain predictions involving the the second order parameters $L_6,L_7$ and $L_8$. The prediction for $L_6$ is quite restrictive even after allowing for $1/ N_c$ corrections.

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