Form factors of $B_{(s)}$ to light scalar mesons with the $B$-meson LCSR

Abstract

In this work, the transition form factors of the semileptonic decays of $B_{(s)}$ to the light scalar mesons with masses close to $1.5\mathrm{GeV}$ such as $K_0^{\ast }(1430),a_0(1450)$, and $f_0(1500)$ are calculated in the framework of the light-cone sum rules (LCSR). For this purpose, the two- and three-particle $B$-meson distribution amplitudes (DA's) are used. Note that it is possible to use the $B$-meson DA's for $B_s$-meson in the $\mathrm{SU}(3{)}_{\mathrm{F}}$ symmetry limit. The transition form factors are obtained in terms of the two-particle DA's up to twist-five accuracy, and the three-particle up to twist-six level. We apply two classes of the phenomenological models for the DA's of $B$-meson. The longitudinal lepton polarization asymmetries and branching fractions for the semileptonic decays of $B_{(s)}$ to the light scalar mesons are estimated with the help of these form factors.

20 pages, 12 figures

References in corpus (18)

• Form Factors from Light-Cone Sum Rules with B-Meson Distribution Amplitudes
• $B\to S$ Transition Form Factors in the PQCD approach
• $B_s\to f_0(980)$ form factors and $B_s$ decays into $f_0(980)$
• SCET sum rules for B->P and B->V transition form factors
• Scalar mesons in weak semileptonic decays of $B_{(s)}$
• Amplitude Analysis of B0-->K+ pi- pi0 and Evidence of Direct CP Violation in B--> K* pi decays
• Two-loop evolution equation for the B-meson distribution amplitude
• Analysis of rare (B -> K_0*(1430) l^+ l^- decay) within QCD sum rules
• Scalar mesons and the fragmented glueball
• Study of the decay $D_s^{+}\to K_S^0{K}_S^0{\pi }^{+}$ and observation an isovector partner to $f_0(1710)$
• Study of $B\to K_0^{\ast }(1430)\ell \bar{\ell }$ Decays
• QCD sum rules for parameters of the $B$-meson distribution amplitudes
• Amplitude analysis of $B_s^0\to K_{\text{S}}^0{K}^{\pm }{\pi }^{\mp }$ decays
• $K_0^{\ast }(1430)$ Twist-2 Distribution Amplitude and $B_s,D_s\to K_0^{\ast }(1430)$ Transition Form Factors
• Amplitude analysis of the $B_{(s)}\to K^{\ast 0}{\overline{K}}^{\ast 0}$ decays and measurement of the branching fraction of the $B\to K^{\ast 0}{\overline{K}}^{\ast 0}$ decay
• $B-S$ transition form-factors with the light-cone QCD sum rules
• Study of the Decay $D_s^{+}\to {\pi }^{+}{\pi }^{+}{\pi }^{-}\eta$ and Observation of the W-annihilation Decay $D_s^{+}\to a_0(980{)}^{+}{\rho }^0$
• Semileptonic $B_s\to K_0^{\ast }(1430)$ transitions with the light-cone sum rules

Cited by in corpus (1)

• Probing $|V_{cs}|$ and lepton flavor universality through $D\to K_0^{\ast }(1430)\ell {\nu }_{\ell }$ decay