B, Bs -> K form factors: an update of light-cone sum rule results

We present an improved QCD light-cone sum rule (LCSR) calculation of the B -> K and Bs -> K form factors, by including SU(3)-symmetry breaking corrections. We use recently updated K-meson distribution amplitudes which incorporate the complete SU(3)-breaking structure. By applying the method of the direct integration in the complex plane, which is presented in a detail, the analytical extraction of the imaginary parts of LCSR hard-scattering amplitudes becomes unnecessary and therefore the complexity of the calculation is greatly reduced. The values obtained for the relevant B_{(s)} -> K form factors are as follows: f^+{BK}(0)= 0.36^{+0.05}{-0.04}, f^+{B_sK}(0)= 0.30^{+0.04}{-0.03} and f^T_{BK}(0)= 0.38\pm 0.05, f^T_{B_sK}(0)= 0.30\pm 0.05. By comparing with the B -> pi form factors extracted recently by the same method, we find the following SU(3) violation among the B -> light form factors: f^+{BK}(0)/f^+{B\pi}(0) = 1.38^{+0.11}{-0.10}, f^+{B_sK}(0)/f^+{B\pi}(0) = 1.15^{+0.17}{-0.09}, f^T_{BK}(0)/f^T_{B\pi}(0) = 1.49^{+0.18}{-0.06} and f^T{B_sK}(0)/f^T_{B\pi}(0) = 1.17^{+0.15}_{-0.11}.