论文标题
在有效的现场理论中应用有限体积效应$a_μ^{\ rm hvp} $
On the application of Effective Field Theory to finite-volume effects in $a_μ^{\rm HVP}$
论文作者
论文摘要
影响雄性真空极化对穆恩异常磁矩贡献的晶格计算的最重要的系统效应之一，$a_μ^{\ rm hvp} $，是由于有限的空间体积而导致的失真。为了达到次级精度，需要可靠地估计和纠正这些效果，而做到这一点的方法之一是有限体积的手性扰动理论。在本文中，我们认为有限体积校正对$a_μ^{\ rm hvp} $原则上可以在手性扰动理论中以任何给定的顺序计算。更确切地说，一旦定义了无限体积中$a_μ^{\ rm hvp} $的有效现场理论表示所需的所有低能常数，则可以预测有限量校正在手势扩展中为该顺序。
One of the more important systematic effects affecting lattice computations of the hadronic vacuum polarization contribution to the anomalous magnetic moment of the muon, $a_μ^{\rm HVP}$, is the distortion due to a finite spatial volume. In order to reach sub-percent precision, these effects need to be reliably estimated and corrected for, and one of the methods that has been employed for doing this is finite-volume chiral perturbation theory. In this paper, we argue that finite-volume corrections to $a_μ^{\rm HVP}$ can, in principle, be calculated at any given order in chiral perturbation theory. More precisely, once all low-energy constants needed to define the Effective Field Theory representation of $a_μ^{\rm HVP}$ in infinite volume are known to a given order, also the finite-volume corrections can be predicted to that order in the chiral expansion.
