Revisiting the Twist-3 Distribution Amplitudes of $K$ Meson within the QCD Background Field Approach

Details Revisiting the Twist-3 Distribution Amplitudes of $K$ Meson within the QCD Background Field Approach Revisiting the Twist-3 Distribution Amplitudes of $K$ Meson within the QCD Background Field Approach

2011-09-14

arxiv.org/abs/1109.3127v2

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, 3 figures

Scientific paper

In the present paper, we investigate the kaon twist-3 distribution amplitudes (DAs) $\phi_{p,\sigma}^K$ within the QCD background field approach. The $SU_f(3)$-breaking effects are studied in detail under a systematical way, especially the sum rules for the moments of $\phi_{p,\sigma}^K$ are obtained by keeping all the mass terms in the $s$-quark propagator consistently. After adding all the uncertainties in quadrature, the first two Gegenbauler moments of $\phi_{p,\sigma}^K$ are $a^1_{K,p}(1 {\rm GeV}) = -0.376^{+0.103}_{-0.148}$, $a^2_{K,p}(1 {\rm GeV}) = 0.701^{+0.481}_{-0.491}$, $a^1_{K,\sigma}(1 {\rm GeV}) = -0.160^{+0.051}_{-0.074}$ and $a^2_{K,\sigma}(1 {\rm GeV}) = 0.369^{+0.163}_{-0.149}$, respectively. And their normalization parameters $\mu_K^p |_{1\rm GeV} = 1.188^{+0.039}_{-0.043}$ GeV and $\mu_K^\sigma |_{1\rm GeV} = 1.021^{+0.036}_{-0.055}$ GeV. It is found that the higher-order mass terms in the $s$-quark propagator can indeed provide sizable contributions to the kaon twist-3 DA moments, i.e. it shall lead to sizable corrections to the previously estimated $SU_f(3)$-breaking effect, which are obtained by keeping the mass terms in the quark propagator only up to first order in the configuration space. Based on the newly obtained moments, a model for the kaon twist-3 wavefunctions $\Psi_{p,\sigma}^K(x,\mathbf{k}_\perp)$ are constructed, which shall be useful for perturbative QCD calculations. As a byproduct, we make a discussion on the moments of the pion twist-3 DAs, and we also obtain their corresponding normalization parameters, i.e. $\mu^p_\pi |_{1 \rm GeV} = 1.104^{+0.046}_{-0.050}$ GeV and $\mu_\pi^\sigma |_{1 \rm GeV} = 1.149^{+0.033}_{-0.034}$ GeV.

Affiliated with

Also associated with

No associations

Rating

Revisiting the Twist-3 Distribution Amplitudes of $K$ Meson within the QCD Background Field Approach does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Revisiting the Twist-3 Distribution Amplitudes of $K$ Meson within the QCD Background Field Approach, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Revisiting the Twist-3 Distribution Amplitudes of $K$ Meson within the QCD Background Field Approach will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-570121