Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2008-07-26
Eur.Phys.J.C57:665-669,2008
Physics
High Energy Physics
High Energy Physics - Phenomenology
10 pages, 4 figures. References added. To be published in EPJC
Scientific paper
10.1140/epjc/s10052-008-0709-0
We present an improved analysis of the constraints on the first two Gegenbauer moments, $a^\pi_2$ and $a^\pi_4$, of the pion's leading-twist distribution amplitude from a QCD light-cone sum rule analysis of $B\to\pi$ weak transition form factor $f_{+}(q^2)$. Proper chiral current is adopted in QCD light-cone sum rule so as to eliminate the most uncertain twist-3 contributions to $f_{+}(q^2)$, and then we concentrate our attention on the properties of the leading-twist pion DA. A nearly model-independent $f_+(q^2)$ as shown in Ref.\cite{pball0} that is based on the spectrum of $B\to\pi l\nu$ decays from BaBar, together with their uncertainties, are adopted as the standard shape for $f_+(q^2)$ to do our discussion. From a minimum $\chi^2$-fit and by taking the theoretical uncertainties into account, we obtain $a^\pi_2(1GeV)=0.17^{+0.15}_{-0.17}$ and $a^\pi_4(1GeV)=-0.06^{+0.20}_{-0.22}$ at the $1\sigma$ confidence level for $m^*_b\in[4.7,4,8] GeV$.
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