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<p>We present an improved calculation of the <i>HHV</i> (<i>H</i> = <i>D</i><sub>(<i>s</i>)</sub>, <i>B</i><sub>(<i>s</i>)</sub>, <i>V</i> = <i>ρ</i>, <i>K</i><sup>*</sup>, <i>ω</i>, and <i>ϕ</i>) coupling constants <i>g</i><sub><i>HHV</i></sub> beyond leading order in <i>α</i><sub><i>s</i></sub> from QCD light-cone sum rules (LCSRs) by means of the light-cone distribution amplitudes (LCDAs) of light vector mesons. Near the light-cone, the next-to-leading order QCD corrections for the vacuum-to-vector-meson correlation function are included at leading power in <i>δ</i><sub><i>V</i></sub> = <i>m</i><sub><i>V</i></sub>/<i>m</i><sub><i>Q</i></sub> (<i>Q</i> = <i>b</i>, <i>c</i>) within the framework of hard-collinear factorization. The higher-twist corrections from two-particle and three-particle vector meson LCDAs are systematically incorporated at leading order in <i>α</i><sub><i>s</i></sub> by applying the method of background field in LCSRs. Based on these improvements, we perform a systematic computation of the strong coupling constants <i>g</i><sub><i>HHV</i></sub> and extract the effective coupling <i>β</i> of the heavy meson chiral perturbation theory (HM<i>χ</i>PT). Furthermore, we accomplish the analysis for the relation between the coupling <i>g</i><sub><i>HHV</i></sub> and the residue of the <i>H</i> → <i>V</i> transition form factor <i>A</i><sub>0</sub> at heavy pseudoscalar pole. Additionally, we provide a detailed investigation of the SU(3) flavour symmetry breaking effects and conduct a comparative analysis with results from previous studies.</p>

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Precision calculations of the D(s)D(s)V and B(s)B(s)V couplings from light-cone sum rules

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  • 发表日期：

    2025年3月13日

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  • Hua-Yu Jiang,
  • Su-Ping Jin

摘要

We present an improved calculation of the HHV (H = D(s), B(s), V = ρ, K*, ω, and ϕ) coupling constants gHHV beyond leading order in αs from QCD light-cone sum rules (LCSRs) by means of the light-cone distribution amplitudes (LCDAs) of light vector mesons. Near the light-cone, the next-to-leading order QCD corrections for the vacuum-to-vector-meson correlation function are included at leading power in δV = mV/mQ (Q = b, c) within the framework of hard-collinear factorization. The higher-twist corrections from two-particle and three-particle vector meson LCDAs are systematically incorporated at leading order in αs by applying the method of background field in LCSRs. Based on these improvements, we perform a systematic computation of the strong coupling constants gHHV and extract the effective coupling β of the heavy meson chiral perturbation theory (HMχPT). Furthermore, we accomplish the analysis for the relation between the coupling gHHV and the residue of the H → V transition form factor A0 at heavy pseudoscalar pole. Additionally, we provide a detailed investigation of the SU(3) flavour symmetry breaking effects and conduct a comparative analysis with results from previous studies.