0000000000280304
AUTHOR
Patricia Bickert
$\eta$-$\eta\prime$ mixing in Large-Nc ChPT: discussion, phenomenology, and prospects
A systematic study of the η-η ′ mixing in Large-Nc chiral perturbation theory is presented [1] with special emphasis on the role of the next-to-next-to-leading-order contributions in the combined momentum, quark-mass, and 1/Nc expansions. At this order, loop corrections as well as OZIrule-violating pieces need to be included. Mixing angles as well as pseudoscalar decay constants are discussed within this framework. The results are compared with recent phenomenological approaches.
Two-photon decays and transition form factors of π0 , η , and η′ in large- Nc chiral perturbation theory
We present a calculation of $P\ensuremath{\rightarrow}{\ensuremath{\gamma}}^{(*)}{\ensuremath{\gamma}}^{(*)}$ processes, where $P={\ensuremath{\pi}}^{0},\ensuremath{\eta},{\ensuremath{\eta}}^{\ensuremath{'}}$, at the one-loop level up to and including next-to-next-to-leading order (NNLO) in large-${N}_{c}$ chiral perturbation theory. The results are numerically evaluated successively at LO, NLO, and NNLO. The appearing low-energy constants are determined through fits to the available experimental data. We investigate the decay widths to real photons, the single-virtual transition form factors, and the widths of $P\ensuremath{\rightarrow}\ensuremath{\gamma}{l}^{+}{l}^{\ensuremath{-}}$, where…
η(′)→π+π−γ(*) in large- Nc chiral perturbation theory
We present a calculation of the decays ${\ensuremath{\eta}}^{{(}^{\ensuremath{'}})}\ensuremath{\rightarrow}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}{\ensuremath{\gamma}}^{(*)}$ at the one-loop level up to and including next-to-next-to-leading order (NNLO) in large-${N}_{c}$ chiral perturbation theory. The numerical evaluation of the results is performed successively at LO, NLO, and NNLO, fitting the relevant low-energy constants to the available experimental data. We discuss the widths and decay spectra of ${\ensuremath{\eta}}^{{(}^{\ensuremath{'}})}\ensuremath{\rightarrow}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}\ensuremath{\gamma}$ as well as ${\ensuremath{…
$\eta$-$\eta'$ mixing in large-$N_c$ chiral perturbation theory: discussion, phenomenology, and prospects
A systematic study of the $\eta$-$\eta'$ mixing in Large-$N_c$ chiral perturbation theory is presented with special emphasis on the role of the next-to-next-to-leading-order contributions in the combined momentum, quark-mass, and $1/N_c$ expansions. At this order, loop corrections as well as OZI-rule-violating pieces need to be included. Mixing angles as well as pseudoscalar decay constants are discussed within this framework. The results are compared with recent phenomenological approaches.