标题： τ中微子出现测量中的深度非弹性散射截面不确定性 显示英文标题

标题： Deep Inelastic Scattering Cross Section Uncertainties in Tau Neutrino Appearance Measurements

摘要： 在对多种中微子味敏感的中微子实验中，分析人员可能需要选择如何处理各自截面的不确定性，是相关处理还是不相关处理。 本研究关注对μ子和τ子中微子都敏感的实验中的带电流深度非弹性散射（CC DIS）通道。 我们评估了低阶$\nu_{\tau}$和$\nu_{\mu}$截面的比值，并从基础部分子分布函数（PDFs）中推导出其不确定性。 我们发现，对于能量高于5 GeV的中微子，由PDF驱动的截面比值不确定性小于3%，而在低于10 GeV的能量下，反中微子的差异较大（2-30%）。 这些结果表明，在大气τ子中微子出现分析中，$\nu_{\tau}$和$\nu_{\mu}$DIS 截面的不确定性应进行耦合，而在使用反中微子束的长基线实验中，对两种味的单独处理可能是必要的。 我们进一步探讨了定义DIS区域开始的不变强子质量阈值的作用。 我们认为，只有当该阈值同时应用于DIS和共振截面，并考虑到与其他DIS和共振截面参数的相关性时，其影响才能被纳入考虑。 显示英文摘要

摘要： In neutrino experiments sensitive to multiple flavors, the analyzers may be presented with a choice of treating the uncertainties on the respective cross sections in a correlated or an uncorrelated manner. This study focuses on the charged current deep inelastic scattering (CC DIS) channel in experiments sensitive to both muon and tau neutrinos. We evaluate the ratio of the leading-order $\nu_{\tau}$ and $\nu_{\mu}$ cross sections and derive its uncertainty from the underlying parton distribution functions (PDFs). We find that, for neutrino energies above 5 GeV, the PDF-driven uncertainty on the cross section ratio is less than 3%, with a larger (2-30%) variation seen in antineutrinos at energies below 10 GeV. These results suggest that for atmospheric tau neutrino appearance analyses, the uncertainties in $\nu_{\tau}$ and $\nu_{\mu}$ DIS cross sections should be coupled, while separate treatment for the two flavors may be warranted in long-baseline experiments with an antineutrino beam. We further explore the role of the invariant hadronic mass threshold defining the onset of the DIS regime. We argue that its impact may be incorporated only if it is applied to both DIS and resonance cross sections, and if the correlations with other DIS and resonance cross section parameters are taken into account.