Electromagnetic finite-size effects beyond the point-like approximation
Electromagnetic finite-size effects beyond the point-like approximation
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DOI：
10.1051/epjconf/202225806001
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发表时间：
2021-09
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通讯作者：
Matteo Di Carlo;M. Hansen;N. Hermansson-Truedsson;A. Portelli
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文献类型：
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作者：
Matteo Di Carlo;M. Hansen;N. Hermansson-Truedsson;A. Portelli
我们提出了一种模型无关的相对论方法来解析地推导出超越类点近似的电磁有限尺寸效应。关键的元素是使用电磁Ward恒等式来约束顶点函数，并且结构依赖通过物理形状因子及其导数来出现。我们用我们的一般方法研究了赝标质量(在1/L3阶)以及介子和介子的轻子衰变幅度(在1/L2阶)中的主导有限尺寸结构依赖性。后者的知识对于从晶格模拟中进行风味物理部门的标准模型精度测试是必不可少的。
We present a model-independent and relativistic approach to analytically derive electromagnetic finite-size effects beyond the point-like approximation. The key element is the use of electromagnetic Ward identities to constrain vertex functions, and structure-dependence appears via physical form-factors and their derivatives. We apply our general method to study the leading finitesize structure-dependence in the pseudoscalar mass (at order 1/L3) as well as in the leptonic decay amplitudes of pions and kaons (at order 1/L2). Knowledge of the latter is essential for Standard Model precision tests in the flavour physics sector from lattice simulations.