Color-octet nonrelativistic QCD matrix elements for heavy quarkonium decays in the refined Gribov-Zwanziger theory
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866909127602601984 |
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| author | Chung, Hee Sok |
| author_facet | Chung, Hee Sok |
| contents | We determine color-octet nonrelativistic QCD matrix elements for quarkonium decays from moments of the two-point correlation function of the QCD field-strength tensor computed in the refined Gribov-Zwanziger theory. We find that a tree-level calculation in the refined Gribov-Zwanziger theory can give a suitable description of the QCD field-strength correlation function at both short and long distances, which leads to moments that are infrared finite and can be properly renormalized. By using the color-octet matrix elements we obtain, we quantitatively improve the nonrelativistic effective field theory description of quarkonium decay rates, especially for the $χ_{QJ}$ and $η_Q$ states, where $Q =c$ or $b$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_10601 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Color-octet nonrelativistic QCD matrix elements for heavy quarkonium decays in the refined Gribov-Zwanziger theory Chung, Hee Sok High Energy Physics - Phenomenology We determine color-octet nonrelativistic QCD matrix elements for quarkonium decays from moments of the two-point correlation function of the QCD field-strength tensor computed in the refined Gribov-Zwanziger theory. We find that a tree-level calculation in the refined Gribov-Zwanziger theory can give a suitable description of the QCD field-strength correlation function at both short and long distances, which leads to moments that are infrared finite and can be properly renormalized. By using the color-octet matrix elements we obtain, we quantitatively improve the nonrelativistic effective field theory description of quarkonium decay rates, especially for the $χ_{QJ}$ and $η_Q$ states, where $Q =c$ or $b$. |
| title | Color-octet nonrelativistic QCD matrix elements for heavy quarkonium decays in the refined Gribov-Zwanziger theory |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2312.10601 |