论文标题
PDF和中微子核子的散射
PDFs and Neutrino-Nucleon Scattering from Hadronic Tensor
论文作者
论文摘要
我们回顾了核子hadronic张量的欧几里得路径 - 综合公式，并根据连接和断开的插入以及在DIS区域的领先和高环贡献方面对规格不变和拓扑上不同的插入进行了分类。将欧几里得的耐药张量转换回Minkowski空间，需要解决拉普拉斯变换的逆问题。我们已经研究了几种反算法，并研究了每种算法的利弊。我们显示了一个相对较大的动量传递（$ q^2 \ sim 4 \，{\ rm gev^2} $）的结果，以抑制弹性散射，并揭示中微子核子散射的共振和弹性区域的贡献。对于弹性散射，Hadronic张量是两种相应电流的弹性形式因子的乘积。我们通过数值检查了两个电荷向量电流（$ v_4 $）的情况，并根据三分函数计算出的电饰数，并发现它们在错误中同意。
We review the Euclidean path-integral formulation of the nucleon hadronic tensor and classify the gauge invariant and topologically distinct insertions in terms of connected and disconnected insertions and also in terms of leading and higher-twist contributions in the DIS region. Converting the Euclidean hadronic tensor back to the Minkowski space requires solving an inverse problem of the Laplace transform. We have investigated several inverse algorithms and studied the pros and cons of each. We show a result with a relatively large momentum transfer ($Q^2 \sim 4\, {\rm GeV^2}$) to suppress the elastic scattering and reveal the contributions from the resonance and inelastic region of the neutrino-nucleon scattering. For elastic scattering, the hadronic tensor is the the product of the elastic form factors for the two corresponding currents. We checked numerically for the case of two charge vector currents ($V_4$) with the electric form factor calculated from the three-point function and found they agree within errors.
