Chiral Symmetry and Charmonium Decays to Two Pseudoscalars

We apply hard pion Chiral Perturbation Theory to charmonium decays to $ππ$, $KK$ and $ηη$. We first discuss why we expect to be able to provide results for the chiral logarithms in $χ_{c0}$ and $χ_{c2}$ decays to two pseudoscalars while for the decays from $J/ψ$, $ψ(nS)$ and $χ_{c1}$ no simple prediction is possible. The leading chiral logarithm turns out to be absent for $χ_{c0},χ_{c2}\to PP$. This result is true for all fully chiral singlet states of spin zero and two.

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