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光锥求和规则给出的$H^*H^*V$电荷耦合

The $H^*H^*V$ couplings from light-cone sum rules

Chao Wang

arXiv 2609.02791首次发表:更新:

发表机构

Faculty of Mathematics and Physics, Huai’an University(淮阴大学数学与物理学院)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

采用光锥求和规则,结合含NLO αₛ修正的硬共线因子化公式与NNLP幂压低贡献,精确确定了H*H*V强电荷耦合,提取普适静态耦合β,证明其对重夸克质量破缺不敏感,SU(3)味对称性破缺效应被非微扰分布振幅不确定性掩盖。

AI 中文摘要

我们采用光锥求和规则(LCSR)框架,对强电荷耦合$g_{H^*H^*V}$(其中$H$属于$\text{\text{\{}}D, B\text{\text{\}}}$,$V$属于$\text{\text{\{}}\rho, \omega, K^*, \phi\text{\text{\}}}$)进行了更新且严格的确定。通过建立含 next-to-leading-order(NLO)$\boldsymbol{\boldsymbol{\boldsymbol{\boldsymbol{\alpha}_s}}}$修正的领头阶硬共线因子化公式,同时系统纳入次次领头阶(NNLP)的幂压低贡献,理论精度得到显著提升。我们的数值分析表明,在NLO下因子化标度依赖存在微妙抵消,并呈现高度稳定的 Borel 平台,为耦合给出可靠预测。通过参数化$\boldsymbol{\boldsymbol{\boldsymbol{\mathcal{O}}}}(1/m_{H^*})$幂修正,我们提取出普适静态耦合$\boldsymbol{\boldsymbol{\beta = 0.73 \pm 0.13}}$,并证明这些电荷耦合对重夸克质量破缺效应极为不敏感。最后,我们对 SU(3) 味对称性破缺的研究显示,其微小物理效应目前被非微扰矢量介子分布振幅的不确定性所掩盖。

英文摘要

We present a determination of the strong charge couplings $g_{H^*H^*V}$ and magnetic couplings $f_{H^*H^*V}$ (with $H \in \{D, B\}$ and $V \in \{ρ, ω, K^*, ϕ\}$) using the framework of light-cone sum rules (LCSR). The theoretical precision is improved by establishing the leading-power hard-collinear factorization formulas with next-to-leading-order (NLO) $α_s$ corrections, alongside the inclusion of power-suppressed contributions up to the next-to-next-to-leading power (NNLP) for both channels. By parameterizing the $\mathcal{O}(1/m_{H^*})$ power corrections, we extract the universal static couplings $β= 0.73 \pm 0.13$ and $\hatλ = 0.23 \pm 0.06 \text{ GeV}^{-1}$, highlighting their distinct heavy-quark scaling behaviors. While our investigation into SU(3) flavor symmetry breaking shows that these effects are currently overwhelmed by uncertainties in the non-perturbative vector meson distribution amplitudes, our determinations of these spin-conserving and spin-flip parameters provide non-perturbative inputs for modeling the S-wave central potentials, as well as the tensor forces and D-wave mixing effects, in exotic heavy tetraquarks.

Comments29 pages, 3 figures

论文原文

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