超越点状近似的电磁有限尺寸效应的相对论性、模型无关的确定
Relativistic, model-independent determination of electromagnetic finite-size effects beyond the point-like approximation
摘要：
我们提出了一个相对论和模型无关的方法来推导结构相关的电磁有限尺寸效应。这是一个系统化的过程，特别适合于自动化，它在大体积膨胀中以任意高的阶数工作。结构相关系数表现为物理形状因子的零动量导数，可以通过实验测量或辅助晶格计算获得。作为应用，我们分别导出了$\mathcal{O}(1/L^3)$级和$\mathcal{O}(1/L^2)$级的电磁有限尺寸效应对赝标介子质量和轻子衰变振幅的影响.结构依赖性出现在这个顺序通过介子电荷半径和实际的辐射轻子振幅，这是已知的实验。
英文摘要：
We present a relativistic and model-independent method to derive structure-dependent electromagnetic finite-size effects. This is a systematic procedure, particularly well-suited for automatization, which works at arbitrarily high orders in the large-volume expansion. Structure-dependent coefficients appear as zero-momentum derivatives of physical form factors which can be obtained through experimental measurements or auxiliary lattice calculations. As an application we derive the electromagnetic finite-size effects on the pseudoscalar meson mass and leptonic decay amplitude, through orders $\mathcal{O}(1/L^3)$ and $\mathcal{O}(1/L^2)$, respectively. The structure dependence appears at this order through the meson charge radius and the real radiative leptonic amplitude, which are known experimentally.
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