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

Abstract

We present an improved analysis of the constraints on the first two Gegenbauer moments, $a_2^{\pi }$ and $a_4^{\pi }$, 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 $a_2^{\pi }(1GeV)=0.17_{-0.17}^{+0.15}$ and $a_4^{\pi }(1GeV)=-0.06_{-0.22}^{+0.20}$ at the $1\sigma$ confidence level for $m_b^{\ast }\in [4.7,4,8]GeV$.

10 pages, 4 figures. References added. To be published in EPJC

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Cited by in corpus (7)

• An Implication on the Pion Distribution Amplitude from the Pion-Photon Transition Form Factor with the New BABAR Data
• Constraints on the Light Pseudoscalar Meson Distribution Amplitudes from Their Meson-Photon Transition Form Factors
• Radiative Corrections on the $B\to P$ Form Factors with Chiral Current in the Light-Cone Sum Rules
• Revisiting the Pion Leading-Twist Distribution Amplitude within the QCD Background Field Theory
• $B\to \rho$ transition form factors within the QCD light-cone sum rules and the $\rho$-meson leading-twist distribution amplitude
• The $\rho$-meson longitudinal leading-twist distribution amplitude
• Heavy-to-light transition form factors and their relations in light-cone QCD sum rules