AI 中文总结
该研究针对分段量能器有限粒度导致的簇射重建精度限制，提出受物理约束的生成式逆问题求解方法，在KOTO实验量能器上实现了矩残差降低，还提升了未训练量的重建效果，揭示了分段量能器的信息恢复潜力。
AI 中文摘要
分段式电磁量能器的有限横向粒度从根本上限制了簇射可观测物理量的重建精度，这些量包括簇射的位置、横向轮廓以及入射粒子的方向。我们证明，在物理约束下可以推断出因分段而被抑制的相当一部分信息，且这些信息会传递到下游的物理量中。该重建被转化为一个逆问题，并用受簇射低阶空间矩约束的生成模型求解，该模型引导解向物理上一致的能量分布收敛，而非仅追求图像相似性。以KOTO实验的未掺杂CsI量能器为参考系统，在具有代表性的1 GeV能量区间内，该重建将这些矩相对于真值参考的单事件残差降低了约40%-62%。推断出的形态还能泛化到训练目标之外：在K_L→π^0νν̄的蒙特卡洛样本上，它改善了光子入射角度（训练过程中从未使用的量）和π^0衰变顶点的重建。这些结果表明，有限分段更应被视为量能器直接测量内容的限制，而非其保留的物理信息的绝对限制，可恢复的比例取决于可观测物理量，并随簇射能量增长。
英文摘要
The finite transverse granularity of a segmented electromagnetic calorimeter fundamentally limits the precision with which the observables of a shower can be reconstructed, among them its position, its lateral profile, and the direction of the incident particle. We show that a substantial fraction of the information suppressed by the segmentation can be inferred under physical constraints, and that it propagates to downstream physics quantities. The reconstruction is cast as an inverse problem and solved with a generative model constrained by the low-order spatial moments of the shower, driving the solution toward physically consistent energy distributions rather than image similarity alone. Using the undoped CsI calorimeter of the KOTO experiment as a reference system, the reconstruction reduces the per-event residual of these moments with respect to the truth-level reference by roughly 40-62% in a representative 1 GeV bin. The inferred morphology also generalizes beyond the training objective: on a $K_{L}\toπ^{0}ν\barν$ Monte Carlo sample it improves the reconstruction of the photon incident angle, a quantity never used during training, and of the $π^{0}$ decay vertex. These results indicate that finite segmentation is better viewed as a limit on what a calorimeter measures directly than as an absolute limit on the physics information it retains, with the recoverable fraction depending on the observable and growing with the shower energy.
