Precision calculations of the \(D_{(s)}D_{(s)}V\) and \(B_{(s)}B_{(s)}V\) couplings from light-cone sum rules

We present an improved calculation of the \(HHV\) (\(H=D_{(s)},\, B_{(s)}\), \(V= \rho\), \(K^\ast\), \(\omega\), and \(\phi\)) coupling constants \(g_{HHV}\) beyond leading order in \(\alpha_s\) from QCD light-cone sum rules (LCSRs) by means of the light-cone distribution amplitudes (LCDAs) of ligh...

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Bibliographic Details
Published inarXiv.org
Main Authors Hua-Yu, Jiang, Su-Ping, Jin
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 10.06.2024
Subjects
Alpha rays
Broken symmetry
Chiral dynamics
Correlation
Couplings
Flavor (particle physics)
Form factors
Perturbation theory
Sum rules
Vector mesons
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Summary:We present an improved calculation of the \(HHV\) (\(H=D_{(s)},\, B_{(s)}\), \(V= \rho\), \(K^\ast\), \(\omega\), and \(\phi\)) coupling constants \(g_{HHV}\) beyond leading order in \(\alpha_s\) 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 \(\delta_V = m_V/m_Q\) (\(Q=b,c\)) 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 \(\alpha_s\) 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 \(\beta\) of the heavy meson chiral perturbation theory (HM\(\chi\)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.
ISSN:2331-8422