Finite-volume effects in the muon anomalous magnetic moment on the lattice

被引：38

作者：

Aubin, Christopher ^{[1
]}

Blum, Thomas ^{[2
]}

Chau, Peter ^{[3
]}

Golterman, Maarten ^{[3
]}

Peris, Santiago ^{[4
,5
]}

Tu, Cheng ^{[2
]}

机构：

[1] Fordham Univ, Dept Phys & Engn Phys, Bronx, NY 10458 USA

[2] Univ Connecticut, Dept Phys, Storrs, CT 06269 USA

[3] San Francisco State Univ, Dept Phys & Astron, San Francisco, CA 94132 USA

[4] Univ Autonoma Barcelona, Dept Phys, E-08193 Bellaterra, Spain

[5] Univ Autonoma Barcelona, IFAE BIST, E-08193 Bellaterra, Spain

来源：

PHYSICAL REVIEW D | 2016年 / 93卷 / 05期

关键词：

D O I：

10.1103/PhysRevD.93.054508

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We investigate finite-volume effects in the hadronic vacuum polarization, with an eye toward the corresponding systematic error in the muon anomalous magnetic moment. We consider both recent lattice data as well as lowest-order, finite-volume chiral perturbation theory, in order to get a quantitative understanding. Even though leading-order chiral perturbation theory does not provide a good description of the hadronic vacuum polarization, it turns out that it gives a good representation of finite-volume effects. We find that finite-volume effects cannot be ignored when the aim is a few percent level accuracy for the leading-order hadronic contribution to the muon anomalous magnetic moment, even when using ensembles with m(pi)L greater than or similar to 4 and m(pi) similar to 200 MeV.

引用

页数：10

共 25 条

[1]

[Anonymous], 2012, JHEP

[2]

[Anonymous], 2015, P SCI LATTICE 2014

[3] Calculating the hadronic vacuum polarization and leading hadronic contribution to the muon anomalous magnetic moment with improved staggered quarks [J].