Constraints on the Leading-Twist Pion Distribution Amplitude from A QCD Light-Cone Sum Rule with Chiral Current

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dc.creatorWu, Xing-Gang
dc.date2008-07-26
dc.date2008-08-07
dc.date.accessioned2026-07-07T12:15:07Z
dc.date.available2026-07-07T12:15:07Z
dc.descriptionWe present an improved analysis of the constraints on the first two Gegenbauer moments, $a^π_2$ and $a^π_4$, of the pion's leading-twist distribution amplitude from a QCD light-cone sum rule analysis of $B\toπ$ 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 $B\toπlν$ decays from BaBar, together with their uncertainties, are adopted as the standard shape for $f_+(q^2)$ to do our discussion. From a minimum $χ^2$-fit and by taking the theoretical uncertainties into account, we obtain $a^π_2(1GeV)=0.17^{+0.15}_{-0.17}$ and $a^π_4(1GeV)=-0.06^{+0.20}_{-0.22}$ at the $1σ$ confidence level for $m^*_b\in[4.7,4,8] GeV$.
dc.description10 pages, 4 figures. References added. To be published in EPJC
dc.identifierhttps://arxiv.org/abs/0807.4214
dc.identifierhttp://arxiv.org/abs/0807.4214
dc.identifierEur.Phys.J.C57:665-669,2008
dc.identifierdoi:10.1140/epjc/s10052-008-0709-0
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/211412
dc.subjectHigh Energy Physics - Phenomenology
dc.titleConstraints on the Leading-Twist Pion Distribution Amplitude from A QCD Light-Cone Sum Rule with Chiral Current
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