Kaon Distribution Amplitudes from Euclidean Functional QCD

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Hauptverfasser: Cui, Wen, Zhang, Dao-yu, Huang, Chuang, Fu, Wei-jie
Format: Preprint
Veröffentlicht: 2026
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author Cui, Wen
Zhang, Dao-yu
Huang, Chuang
Fu, Wei-jie
author_facet Cui, Wen
Zhang, Dao-yu
Huang, Chuang
Fu, Wei-jie
contents We study the kaon quasi-distribution amplitude (quasi-DA) and distribution amplitude (DA) within the large-momentum effective theory (LaMET) combined with the first-principles functional QCD. Using quark correlation functions and the kaon Bethe-Salpeter amplitude in the Euclidean space from the 2+1 flavour functional QCD [1] as inputs, we obtain the kaon quasi DA in the large longitudinal momentum region with the contour deformation method [2] in the complex plane of momentum. By performing $1/P_z^2$ and $1/P_z^4$ order extrapolations of the kaon quasi-DA for the choices of the maximal longitudinal momentum $P_z^{\max}\in[2,2.5]$ GeV, we obtain a single-peaked and asymmetric kaon DA with the uncertainties arising from the extrapolation interval and ansatz. We find the first and second order moments of the kaon DA, $\langle ξ\rangle_K = 0.020(3)$ and $\langle ξ^2 \rangle_K = 0.253(12)$, respectively.
format Preprint
id arxiv_https___arxiv_org_abs_2604_23739
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Kaon Distribution Amplitudes from Euclidean Functional QCD
Cui, Wen
Zhang, Dao-yu
Huang, Chuang
Fu, Wei-jie
High Energy Physics - Phenomenology
We study the kaon quasi-distribution amplitude (quasi-DA) and distribution amplitude (DA) within the large-momentum effective theory (LaMET) combined with the first-principles functional QCD. Using quark correlation functions and the kaon Bethe-Salpeter amplitude in the Euclidean space from the 2+1 flavour functional QCD [1] as inputs, we obtain the kaon quasi DA in the large longitudinal momentum region with the contour deformation method [2] in the complex plane of momentum. By performing $1/P_z^2$ and $1/P_z^4$ order extrapolations of the kaon quasi-DA for the choices of the maximal longitudinal momentum $P_z^{\max}\in[2,2.5]$ GeV, we obtain a single-peaked and asymmetric kaon DA with the uncertainties arising from the extrapolation interval and ansatz. We find the first and second order moments of the kaon DA, $\langle ξ\rangle_K = 0.020(3)$ and $\langle ξ^2 \rangle_K = 0.253(12)$, respectively.
title Kaon Distribution Amplitudes from Euclidean Functional QCD
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2604.23739