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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| Format: | Preprint |
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2024
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| _version_ | 1866929380365697024 |
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| author | Jiang, Hua-Yu Jin, Su-Ping |
| author_facet | Jiang, Hua-Yu Jin, Su-Ping |
| contents | We present an improved calculation of the $HHV$ ($H=D_{(s)},\, B_{(s)}$, $V= ρ$, $K^\ast$, $ω$, and $ϕ$) coupling constants $g_{HHV}$ beyond leading order in $α_s$ 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 $δ_V = m_V/m_Q$ ($Q=b,c$) 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 $α_s$ by applying the method of background field in LCSRs. Based on these improvements, we perform a systematic computation of the strong coupling constants $g_{H HV}$ and extract the effective coupling $β$ of the heavy meson chiral perturbation theory (HM$χ$PT). Furthermore, we accomplish the analysis for the relation between the coupling $g_{HHV}$ and the residue of the $H\to V$ transition form factor $A_0$ 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2406_06209 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Precision calculations of the $D_{(s)}D_{(s)}V$ and $B_{(s)}B_{(s)}V$ couplings from light-cone sum rules Jiang, Hua-Yu Jin, Su-Ping High Energy Physics - Phenomenology High Energy Physics - Experiment We present an improved calculation of the $HHV$ ($H=D_{(s)},\, B_{(s)}$, $V= ρ$, $K^\ast$, $ω$, and $ϕ$) coupling constants $g_{HHV}$ beyond leading order in $α_s$ 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 $δ_V = m_V/m_Q$ ($Q=b,c$) 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 $α_s$ by applying the method of background field in LCSRs. Based on these improvements, we perform a systematic computation of the strong coupling constants $g_{H HV}$ and extract the effective coupling $β$ of the heavy meson chiral perturbation theory (HM$χ$PT). Furthermore, we accomplish the analysis for the relation between the coupling $g_{HHV}$ and the residue of the $H\to V$ transition form factor $A_0$ 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. |
| title | Precision calculations of the $D_{(s)}D_{(s)}V$ and $B_{(s)}B_{(s)}V$ couplings from light-cone sum rules |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment |
| url | https://arxiv.org/abs/2406.06209 |