AI 中文总结
研究开发半解析框架将超高能中微子通量映射到事件率，基于玻尔兹曼方程考虑软体积，推导碰撞算符展开简化输运问题，应用于冰立方数据并重新审视KM3NeT事件，为中微子通量模型与径迹可观测量搭桥。
AI 中文摘要
我们开发了一个半解析框架，将超高能中微子通量映射到中微子望远镜的事件率上。该公式基于物质中微子相互作用产生的次级μ子分布的玻尔兹曼方程，自然地考虑了与贯穿径迹相关的有效目标体积。这个“软体积”由μ子传播和随机能量损失控制，可能比仪器化探测器体积大得多。利用软能量损失的主导地位，我们推导了碰撞算符的二阶展开式，将输运问题简化为能量空间中的漂移扩散方程，罕见的硬散射微扰处理。所得主公式为全蒙特卡罗模拟提供了快速替代方案，同时保持与微观μ子能量损失过程的直接联系。我们将该形式应用于冰立方的贯穿μ子数据，消除输运系数的理论不确定性，得到与实验结果兼容的漫射通量拟合。我们还重新审视了KM3NeT报告的超高能径迹事件的解释，评估其与冰立方在相同能量范围内未观测到的一致性。我们的结果在中微子通量模型和径迹事件可观测量之间提供了一个第一性原理的桥梁，直接应用于精确中微子天文学和超出标准模型的物理搜索。
英文摘要
We develop a semi-analytical framework to map ultra-high-energy neutrino fluxes onto event rates at neutrino telescopes. The formulation is based on the Boltzmann equation for the distribution of secondary muons produced by neutrino interactions in matter, and naturally accounts for the effective target volume relevant for through-going tracks. This "soft volume" is controlled by muon propagation and stochastic energy losses, and can be significantly larger than the instrumented detector volume. Exploiting the dominance of soft energy losses, we derive a controlled second-order expansion of the collision operator, reducing the transport problem to a drift-diffusion equation in energy space, with rare hard scatterings treated perturbatively. The resulting master formula provides a fast alternative to full Monte Carlo simulations while retaining a direct connection to the microscopic muon energy-loss processes. We apply the formalism to IceCube through-going muon data, marginalizing over theoretical uncertainties in the transport coefficients, and obtain a diffuse-flux fit compatible with the experimental result. We also revisit the interpretation of the ultra-high-energy track event reported by KM3NeT, assessing its consistency with IceCube non-observation in the same energy range. Our results provide a first-principles bridge between neutrino-flux models and track-event observables, with direct applications to precision neutrino astronomy and searches for physics beyond the Standard Model.
Comments40 pages, 10 figures
