$B_s{B}^{\ast }K$ and $B_{s}B{K}^{\ast }$ vertices using QCD sum rules

Abstract

The form factors and the coupling constant of the $B_s{B}^{\ast }K$ and $B_{s}B{K}^{\ast }$ vertices are calculated using the QCD sum rules method. Three point correlation functions are computed considering both the heavy and light mesons off-shell in each vertex, from which, after an extrapolation of the QCDSR results at the pole of the off-shell mesons, we obtain the coupling constant of the vertex. The form factors obtained have different behaviors but their simultaneous extrapolation reach the same value of the coupling constant $g_{B_s{B}^{\ast }K}=8.41\pm 1.23$ and $g_{B_{s}B{K}^{\ast }}=3.3\pm 0.5$. We compare our result with other theoretical estimates and compute the uncertainties of the method.

arXiv comment17 pages, 10 figures

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• The $D_{s}D{K}^{\ast }$ vertex in QCD Sum Rules: form factors and coupling constant
• Heavy-meson chiral Lagrangians, effective flavored couplings, SU(4) flavor breaking and their consequences
• Strong coupling constants of charmed and bottom mesons with light vector mesons in QCD sum rules