$B\to K$ Transition Form Factor up to ${\cal O}(1/m^2_b)$ within the $k_T$ Factorization Approach

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dc.creatorWu, Xing-Gang
dc.creatorHuang, Tao
dc.creatorFang, Zhen-Yun
dc.date2007-07-17
dc.date2007-09-01
dc.date.accessioned2026-07-07T11:17:50Z
dc.date.available2026-07-07T11:17:50Z
dc.descriptionIn the paper, we apply the $k_T$ factorization approach to deal with the $B\to K$ transition form factor $F^{B\to K}_{+,0}(q^2)$ in the large recoil regions. The B-meson wave functions $Ψ_B$ and $\barΨ_B$ that include the three-particle Fock states' contributions are adopted to give a consistent PQCD analysis of the form factor up to ${\cal O} (1/m^2_b)$. It has been found that both the wave functions $Ψ_B$ and $\barΨ_B$ can give sizable contributions to the form factor and should be kept for a better understanding of the $B$ meson decays. Then the contributions from different twist structures of the kaon wavefunction are discussed, including the $SU_f(3)$-breaking effects. A sizable contribution from the twist-3 wave function $Ψ_p$ is found, whose model dependence is discussed by taking two group of parameters that are determined by different distribution amplitude moments obtained in the literature. It is also shown that $F^{B\to K}_{+,0}(0)=0.30\pm0.04$ and $[F^{B\to K}_{+,0}(0)/F^{B\to π}_{+,0}(0)]=1.13\pm0.02$, which are more reasonable and consistent with the light-cone sum rule results in the large recoil regions.
dc.description22 pages and 6 figures
dc.identifierhttps://arxiv.org/abs/0707.2504
dc.identifierhttp://arxiv.org/abs/0707.2504
dc.identifierEur.Phys.J.C52:561-570,2007
dc.identifierdoi:10.1140/epjc/s10052-007-0421-5
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/193144
dc.subjectHigh Energy Physics - Phenomenology
dc.title$B\to K$ Transition Form Factor up to ${\cal O}(1/m^2_b)$ within the $k_T$ Factorization Approach
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