大动量下介子电磁形状因子的QCD预言:检验单举过程中的因子化
QCD Predictions for Meson Electromagnetic Form Factors at High Momenta: Testing Factorization in Exclusive Processes
AI总结:
首次通过格点QCD计算了大动量转移下π介子和K介子的电磁形状因子,与JLab实验结果在低Q²时一致,为高Q²实验提供了从头算基准,并检验了QCD共线因子化框架的普适性。
摘要:
我们报告了首次基于格点QCD对π介子和K介子电磁形状因子F_M(Q²)的计算,其大动量转移分别高达10和28 GeV²。利用物理质量和两个精细格点,我们在Q²≲4 GeV²时与JLab实验结果取得了良好一致。对于Q²≳4 GeV²,我们的结果为JLab 12 GeV即将开展的实验和未来电子-离子对撞机提供了从头算QCD基准。我们还利用微扰论次次领头阶的高Q²形状因子检验了QCD共线因子化框架,该框架将形状因子与领头Fock态介子分布振幅关联起来。与使用同一框架的独立格点QCD计算的比较表明,在估计的不确定性范围内,这些非微扰量具有普适性。
英文摘要:
We report the first lattice QCD computation of pion and kaon electromagnetic form factors, $F_M(Q^2)$, at large momentum transfer up to 10 and 28 $\mathrm{GeV}^2$, respectively. Utilizing physical masses and two fine lattices, we achieve good agreement with JLab experimental results at $Q^2 \lesssim 4~\mathrm{GeV}^2$. For $Q^2 \gtrsim 4~\mathrm{GeV}^2$, our results provide $\textit{ab-initio}$ QCD benchmarks for the forthcoming experiments at JLab 12 GeV and future electron-ion colliders. We also test the QCD collinear factorization framework utilizing our high-$Q^2$ form factors at next-to-next-to-leading order in perturbation theory, which relates the form factors to the leading Fock-state meson distribution amplitudes. Comparisons with independent lattice QCD calculations using the same framework demonstrate, within estimated uncertainties, the universality of these nonperturbative quantities.
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