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arXiv 2602.04367hep-ph
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$Ξ_b^0$ 衰变形式因子在 HQET 框架下的研究:$Ξ_b^0 \rightarrow Ξ_c^+\ell\barν_{\ell}$

Semileptonic decay form factors of $Ξ_b^0 \rightarrow Ξ_c^+\ell\barν_{\ell}$ in HQET

Department of Physics, Government College Daman(达曼政府学院物理系);Veer Narmad South Gujarat University(维尔·纳尔马达南古吉拉特大学)

Kinjal Patel, Kaushal Thakkar

AI总结:

本文基于现象学夸克模型,利用 HQET 框架计算 $Ξ_b^0 \rightarrow Ξ_c^+\ell\barν_{\ell}$ 衰变形式因子,验证了形式因子在 $q^2$ 方面的依赖性,并计算了 $R(Ξ_c)$ 比例,与理论预测一致。

摘要:

重到重的半轻子衰变,特别是底到charm夸克转变,对于检验标准模型(SM)和提取Cabibbo-Kobayashi-Maskawa(CKM)矩阵元素至关重要。本文基于现象学夸克模型研究 $Ξ_b^0 \rightarrow Ξ_c^+\ell\barν_{\ell}$(其中 $\ell = e, τ$)衰变,计算初始和最终重子的基态质量以获得波函数,进而计算形式因子,包括在重夸克有效理论(HQET)框架内到 $1/m_Q$ 阶的修正。所得形式因子在 helicity 形式中用于评估微分衰变率、总衰变宽度和分支比。我们比较了形式因子在最大和最小反冲点的结果与之前的理论研究,发现有良好的一致性。我们观察到形式因子依赖于转移动量 $q^2$,其大小随着 $q^2$ 增加而逐渐增大。主导的形式因子是 $f_1$ 和 $g_1$,它们也表现出相似的 $q^2$ 依赖性。此外,我们计算了轻子味普遍性(LFU)比 $R(Ξ_c) \approx 0.3$,与现有理论预测一致。

英文摘要:

Heavy-to-heavy semileptonic decays, particularly the bottom-to-charm quark transitions, are essential for testing the Standard Model (SM) and extracting the Cabibbo-Kobayashi-Maskawa (CKM) matrix elements. These decays have been extensively studied using various theoretical approaches. In this work, we investigate the semileptonic decay $Ξ_b^0 \rightarrow Ξ_c^+\ell\barν_{\ell}$ (where $\ell = e$, $τ$) using a phenomenological quark model. We compute the ground-state masses of the initial and final baryons to get the wave function, which is then used to calculate the form factors, including corrections up to order $1/m_Q$ within the framework of Heavy Quark Effective Theory (HQET). The obtained form factors are implemented in the helicity formalism to evaluate the differential decay rates, total decay width and branching ratio. We compare our results for the form factors at both the maximum and minimum recoil points with previous theoretical studies, finding good agreement. We observe that the form factors depend on the transferred momentum $q^2$ and their magnitude gradually increases with increasing $q^2$. The dominant form factors are $f_1$ and $g_1$, and they also exhibit similar $q^2$ dependencies. Additionally, we calculate the lepton flavour universality (LFU) ratio $R(Ξ_c) \approx 0.3$, which is in agreement with existing theoretical predictions.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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