论文标题
使用N3LO的无促有效田间理论对Muonic氘的核效应进行重新评估
A reassessment of nuclear effects in muonic deuterium using pionless effective field theory at N3LO
论文作者
论文摘要
我们对$α^5 $核贡献的订单进行系统评估,包括由于真空极化而导致的随附的辐射校正,直至近代到隔离到终止到范围,直到终止到领先的顺序(N3LO)(N3LO)在Pionless无效效果理论(EFT)中。我们还评估了由于单核结构而引起的高阶校正,预计将是N3LO以外的最重要的校正。我们发现Deuteron电荷与Friar Radii之间的相关性,这对于判断电荷形式的参数质量很有用。我们完善了$2γ$ - 交换贡献的理论描述,尤其是在弹性贡献和辐射校正方面,改善了理论和实验之间的原始差异,其大小为$2γ$ -ExChange效应。 Based on the experimental Lamb shift of muonic deuterium, we obtain the deuteron charge radius, $r_d(μ\text{D})=2.12763(13)_\text{exp}(77)_\text{theory}$~fm, which is consistent with (but less precise than) the value obtained by combining the H-D isotope shift with the muonic hydrogen Lamb 转移。使用贝叶斯程序评估了理论不确定性,并由无挑选EFT系列的截断所主导。
We provide a systematic assessment of the order-$α^5$ nuclear contributions to the Lamb shift of muonic deuterium, including the accompanying radiative corrections due to vacuum polarization, up to next-to-next-to-next-to-leading order (N3LO) within the pionless effective field theory (EFT). We also evaluate higher-order corrections due to the single-nucleon structure, which are expected to be the most important corrections beyond N3LO. We find a correlation between the deuteron charge and Friar radii, which can be useful to judge the quality of charge form factor parametrisations. We refine the theoretical description of the $2γ$-exchange contribution, especially in the elastic contribution and the radiative corrections, ameliorating the original discrepancy between theory and experiment in the size of $2γ$-exchange effects. Based on the experimental Lamb shift of muonic deuterium, we obtain the deuteron charge radius, $r_d(μ\text{D})=2.12763(13)_\text{exp}(77)_\text{theory}$~fm, which is consistent with (but less precise than) the value obtained by combining the H-D isotope shift with the muonic hydrogen Lamb shift. The theory uncertainty is evaluated using a Bayesian procedure and is dominated by the truncation of the pionless EFT series.