论文标题
通过数据驱动的色散关系，从电磁形元素来测定PION分布幅度
Determination of pion distribution amplitudes from the electromagnetic form factor with the data-driven dispersion relation
论文作者
论文摘要
我们研究了模量平方色散关系中的PION电磁形构想，并在Pion轻锥分布振幅中对模型无关提取最重要的非扰动参数。这项工作的动机是在谐振区域中最近对序列形式的测量，这构成了缺乏基于QCD的固体计算的作品。通过扰动的QCD计算，直到近代到领先的QCD校正和四级介子分布振幅，我们将Pion Meson的手性质量作为$ M_0^π（1 \，{\ rm Gev}）= 1.31 = 1.31^{+0.27} {+0.27} {+0.27} $ 0.31}需要更准确的序列形式测量值，以帮助我们确定在这项工作中开发的数据驱动的分散关系方法，以确定PION分布振幅中最低的Gegenbauer矩振幅。
We study the pion electromagnetic form factor in the modulus squared dispersion relation, and do the model independent extraction of the most important nonperturbative parameters in pion light-cone distribution amplitude. The motivation of this work is the recent measurement of timelike form factor in the resonant regions, which makes up the piece lacking solid QCD-based calculation. With the perturbative QCD calculation up to next-to-leading-order QCD corrections and twist four level of meson distribution amplitudes, we obtain the chiral mass of pion meson as $m_0^π(1 \, {\rm GeV}) = 1.31^{+0.27}_{-0.30} \, {\rm GeV}$. More accuracy measurement of the timelike form factor are desirable to help us to determine the lowest gegenbauer moments in pion distribution amplitudes with the data-driven dispersion relation method developed in this work.
