تقرير
Constraining inverse moment of $B$-meson distribution amplitude using Lattice QCD data
| العنوان: | Constraining inverse moment of $B$-meson distribution amplitude using Lattice QCD data |
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| المؤلفون: | Mandal, Rusa, Nandi, Soumitra, Ray, Ipsita |
| سنة النشر: | 2023 |
| المجموعة: | High Energy Physics - Lattice High Energy Physics - Phenomenology |
| مصطلحات موضوعية: | High Energy Physics - Phenomenology, High Energy Physics - Lattice |
| الوصف: | We constrain the inverse moment of the $B$-meson light-cone distribution amplitude (LCDA), $\lambda_B$ in heavy quark effective theory, using form factor estimates from Lattice QCD collaboration. The estimation of the parameter $\lambda_B$ has, until now, relied solely on QCD sum rule methods and deals with significant uncertainty. In this work, we express the form factors for the $B \to K$ channel, calculated within the light-cone sum rule (LCSR) approach, in terms of the $B$-meson LCDAs. By incorporating recent Lattice results from the HPQCD collaboration for the $B \to K$ form factors at zero momentum transfer ($q^2$ = 0), we impose constraints on this parameter. Consequently, we achieve a twofold reduction in uncertainty compared to the QCD sum rule estimate, yielding $\lambda_B=338\pm 68$ MeV, when the $B$-meson LCDAs are expressed in the Exponential model. Additionally, we compare the form factor predictions, using the constrained $\lambda_B$ value, with the earlier analyses for other channels as well, such as $B\to \pi$ and $B \to D$. Comment: version accepted for publication in PLB |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1016/j.physletb.2023.138345 |
| URL الوصول: | http://arxiv.org/abs/2308.07033 |
| رقم الأكسشن: | edsarx.2308.07033 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1016/j.physletb.2023.138345 |
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