Twist-3 distribution amplitudes of the pion and kaon from the QCD sum rules

Tao Huang; Ming-Zhen Zhou; Xing-Hua Wu

doi:10.1140/epjc/s2005-02285-x

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2024 Impact factor 4.8

Particles and Fields

Eur. Phys. J. C (2005) 42: 271-279
https://doi.org/10.1140/epjc/s2005-02285-x

Theoretical Physics

Twist-3 distribution amplitudes of the pion and kaon from the QCD sum rules

Tao Huang¹^,2^*, Ming-Zhen Zhou² and Xing-Hua Wu²

¹ CCAST(World Laboratory), P.O. Box 8730, 100080, Beijing, P.R. China
² Institute of High Energy Physics, P.O. Box 918, 100039, Beijing, P.R. China

^* e-mail: huangtao@mail.ihep.ac.cn

Abstract

Twist-3 distribution amplitudes of the pion and kaon are studied in this paper. We calculate the first several moments for the twist-3 distribution amplitudes ( $\phi_{p,\sigma}^\pi$ and $\phi_{p,\sigma}^K$ ) of the pion and kaon by applying the QCD sum rules. Our results show that (i) the first three moments of $\phi_p^K$ and the first two moments of $\phi_p^\pi$ and $\phi_\sigma^{\pi,K}$ of the pion and kaon can be obtained with 30 $\%$ uncertainty; (ii) the fourth moment of the $\phi_p^\pi$ and the second moment of the $\phi_\sigma^K$ can be obtained when the uncertainty are relaxed to 35 $\%$ ; (iii) the fourth moment of the $\phi_\sigma^\pi$ can be obtained only when the uncertainty are relaxed to 40 $\%$ ; (iv) we have $m_{0\pi}^p = 1.10\pm 0.08 {\mathrm {GeV}}$ and $m_{0K}^p = 1.25\pm 0.15 {\mathrm {GeV}}$ after including the $\alpha_{\mathrm {s}}$ -corrections to the perturbative part. These moments will be helpful for constructing the twist-3 wave functions of the pion and kaon.