$B_s{B}^{\ast }K$ 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.

17 pages, 10 figures

References in corpus (4)

• $D^{\ast }{D}_{s}K$ and $D_s^{\ast }DK$ vertices in a QCD Sum Rule approach
• Strong coupling constants of bottom and charmed mesons with scalar, pseudoscalar and axial vector kaons
• $g_{D_s^{\ast }D{K}^{\ast }(892)}$ and $g_{B_s^{\ast }B{K}^{\ast }(892)}$ coupling constants in QCD sum rules
• $B^{\ast }{B}^{\ast }\rho$ vertex from QCD sum rules

Cited by in corpus (2)

• The $D_{s}D{K}^{\ast }$ vertex in QCD Sum Rules: form factors and coupling constant
• Strong coupling constants of charmed and bottom mesons with light vector mesons in QCD sum rules