有效场理论在aμHVP有限体积效应中的应用

C. Aubin, T. Blum, M. Golterman, S. Peris
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引用次数: 4

摘要

影响强子真空极化对μ子异常磁矩贡献的晶格计算的一个更重要的系统效应是由于有限空间体积引起的畸变。为了达到低于百分之一的精度,这些影响需要可靠地估计和纠正,而用于做到这一点的方法之一是有限体积手性微扰理论。在本文中,我们论证了在手性微扰理论中,对$a_\mu^{\rm HVP}$的有限体积修正原则上可以在任何给定阶数下计算。更准确地说,一旦所有的低能常数需要定义的有效场论表示$a_\mu^{\rm HVP}$在无限体积中给定的阶数是已知的,那么手性展开的有限体积修正也可以预测到该阶数。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Application of effective field theory to finite-volume effects in aμHVP
One of the more important systematic effects affecting lattice computations of the hadronic vacuum polarization contribution to the anomalous magnetic moment of the muon, $a_\mu^{\rm HVP}$, 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 $a_\mu^{\rm HVP}$ 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 $a_\mu^{\rm HVP}$ in infinite volume are known to a given order, also the finite-volume corrections can be predicted to that order in the chiral expansion.
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