Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2401.09161 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916274123046912 |
|---|---|
| author | Kivel, Nikolay |
| author_facet | Kivel, Nikolay |
| contents | We study $χ_{cJ}\to VV$ 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 $χ_{cJ}$ up to higher order corrections in small velocity $v$. This allows us to estimate the polarisation parameters for $χ_{c2}\to VV$ using data for $χ_{c0,1}\to VV$. This analysis is carried out for the available data on the $χ_{cJ}\to ϕϕ$ decays. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_09161 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A description of $χ_{cJ}\to VV$ decays within the effective field theory framework Kivel, Nikolay High Energy Physics - Phenomenology We study $χ_{cJ}\to VV$ 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 $χ_{cJ}$ up to higher order corrections in small velocity $v$. This allows us to estimate the polarisation parameters for $χ_{c2}\to VV$ using data for $χ_{c0,1}\to VV$. This analysis is carried out for the available data on the $χ_{cJ}\to ϕϕ$ decays. |
| title | A description of $χ_{cJ}\to VV$ decays within the effective field theory framework |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2401.09161 |