\begin{document}$ B \to \pi $\end{document} transition form factors (TFFs) in the framework of HQEFT. We label the two LCSR results as LCSR-\begin{document}$ {\cal U} $\end{document} and LCSR-\begin{document}$ {\cal R} $\end{document}, which stand for the conventional correlator and the right-handed correlator. We observe that the correlation parameter \begin{document}$ |\rho_{\rm RU}| $\end{document} for the branching ratio \begin{document}$ {\cal B}(B \to \pi l \nu_{l}) $\end{document} is \begin{document}$ \sim 0.85 $\end{document}, implying a consistency of LCSRs with the other correlators. Furthermore, we obtain \begin{document}$ |V_{ub}| _{{\rm LCSR}-{\cal U}} = (3.45^{+0.28}_{-0.20}\pm{0.13}_{\rm{exp}})\times10^{-3} $\end{document} and \begin{document}$ |V_{ub}| _{{\rm LCSR}-\cal{R}} = (3.38^{+0.22}_{-0.16} \pm{0.12}_{\rm{exp}})\times10^{-3} $\end{document}. We also obtain \begin{document}$ {\cal{R}}_{\pi}| _{{\rm LCSR}-\cal{U}} = 0.68^{+0.10}_{-0.09} $\end{document} and \begin{document}$ {\cal{R}}_{\pi}| _{{\rm LCSR}-\cal{R}} = 0.65^{+0.13}_{-0.11} $\end{document}, both of which agree with the lattice QCD predictions. Thus, HQEFT provides a useful framework for studying B meson decays. Moreover, by using the right-handed correlator, the twist-2 terms are dominant in TFF \begin{document}$ f^+(q^2) $\end{document}, as their contribution is over ~97% in the whole \begin{document}$ q^2 $\end{document} region, while the large twist-3 uncertainty of the conventional correlator is greatly suppressed. Hence, the LCSR-\begin{document}$ {\cal R} $\end{document} predictions can be used to test the properties of the various models for the pion twist-2 distribution amplitudes."> The <inline-formula><tex-math id="M1">\begin{document}${{B\to \pi \ell\nu_\ell}}$\end{document}</tex-math><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/ee66fd13-e741-44cb-8c26-083cf6a7adbc/CPC-2019-0309_M1.jpg"/><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/ee66fd13-e741-44cb-8c26-083cf6a7adbc/CPC-2019-0309_M1.png"/></alternatives></inline-formula> semileptonic decay within the LCSR approach under heavy quark effective field theory -
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