A realistic method to access heavy meson light-cone distribution amplitudes from first-principle
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arXiv
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| Main Authors: | , , , , , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866915350985048064 |
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| author | Han, Xue-Ying Hua, Jun Ji, Xiangdong Lü, Cai-Dian Wang, Wei Xu, Ji Zhang, Qi-An Zhao, Shuai |
| author_facet | Han, Xue-Ying Hua, Jun Ji, Xiangdong Lü, Cai-Dian Wang, Wei Xu, Ji Zhang, Qi-An Zhao, Shuai |
| contents | Lightcone distribution amplitudes (LCDAs) of heavy meson within heavy quark effective theory (HQET) are crucial for predicting physical observables in $B$ decays, but unfortunately there is no first-principle result due to severe challenges. After analyzing these challenges, we propose a realistic method to determine heavy meson LCDA. We utilize equal-time correlations and incorporate a dynamic quark field for a fast moving heavy quark. To verify this method, we make use of lattice QCD simulation on a lattice ensemble with spacing $a = 0.05187$\,fm. The preliminary findings for HQET LCDAs qualitatively align with phenomenological models, and the fitted result for the first inverse moment $λ_B^{-1}$ is consistent with the experimentally constrain from $B \to γ\ellν_\ell$. We explore how our findings can reduce model uncertainties in predictions of heavy-to-light form factors at large recoil. These results demonstrate the promise of our method in providing first-principle predictions for heavy meson LCDAs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_17492 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A realistic method to access heavy meson light-cone distribution amplitudes from first-principle Han, Xue-Ying Hua, Jun Ji, Xiangdong Lü, Cai-Dian Wang, Wei Xu, Ji Zhang, Qi-An Zhao, Shuai High Energy Physics - Phenomenology High Energy Physics - Experiment High Energy Physics - Lattice Lightcone distribution amplitudes (LCDAs) of heavy meson within heavy quark effective theory (HQET) are crucial for predicting physical observables in $B$ decays, but unfortunately there is no first-principle result due to severe challenges. After analyzing these challenges, we propose a realistic method to determine heavy meson LCDA. We utilize equal-time correlations and incorporate a dynamic quark field for a fast moving heavy quark. To verify this method, we make use of lattice QCD simulation on a lattice ensemble with spacing $a = 0.05187$\,fm. The preliminary findings for HQET LCDAs qualitatively align with phenomenological models, and the fitted result for the first inverse moment $λ_B^{-1}$ is consistent with the experimentally constrain from $B \to γ\ellν_\ell$. We explore how our findings can reduce model uncertainties in predictions of heavy-to-light form factors at large recoil. These results demonstrate the promise of our method in providing first-principle predictions for heavy meson LCDAs. |
| title | A realistic method to access heavy meson light-cone distribution amplitudes from first-principle |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2403.17492 |