Abstract
We study χcJ → VV decays using the QCD effective field theory approach. The helicity suppressed decay amplitudes are also considered. The colour-singlet contributions of these amplitudes suffer from the endpoint singularities, it is shown that they can be absorbed into renormalisation of the nonfactorisable colour-octet matrix element. The latter can be associated with the colour-octet component of the charmonium wave function. The heavy quark spin symmetry makes it possible to establish the relationships between colour-octet matrix elements for different states χcJ up to higher order corrections in small velocity v. This allows us to estimate the polarisation parameters for χc2 → VV using data for χc0,1 → VV. This analysis is carried out for the available data on the χcJ → ϕϕ decays.
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Acknowledgments
I am grateful to Qi Huang and the other authors of ref. [11] for kindly clarifying some aspects of their work.
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Kivel, N. A description of χcJ → VV decays within the effective field theory framework. J. High Energ. Phys. 2024, 65 (2024). https://doi.org/10.1007/JHEP07(2024)065
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DOI: https://doi.org/10.1007/JHEP07(2024)065