Computing the hadronic vacuum polarization function by analytic continuation

被引：34

作者：

Feng, Xu ^{[1
]}

Hashimoto, Shoji ^{[1
,2
]}

Hotzel, Grit ^{[3
]}

Jansen, Karl ^{[4
,5
]}

Petschlies, Marcus ^{[6
]}

Renner, Dru B. ^{[7
]}

机构：

[1] High Energy Accelerator Res Org KEK, Tsukuba, Ibaraki 3050801, Japan

[2] Grad Univ Adv Studies Sokendai, Sch High Energy Accelerator Sci, Tsukuba, Ibaraki 3050801, Japan

[3] Humboldt Univ, Inst Phys, D-12489 Berlin, Germany

[4] DESY, NIC, D-15738 Zeuthen, Germany

[5] Univ Cyprus, Dept Phys, CY-1678 Nicosia, Cyprus

[6] Cyprus Inst, CY-1645 Nicosia, Cyprus

[7] Jefferson Lab, Newport News, VA 23606 USA

来源：

PHYSICAL REVIEW D | 2013年 / 88卷 / 03期

关键词：

LATTICE QCD; QUARK MASSES;

D O I：

10.1103/PhysRevD.88.034505

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We propose a method to compute the hadronic vacuum polarization function on the lattice at continuous values of photon momenta bridging between the spacelike and timelike regions. We provide two independent demonstrations to show that this method leads to the desired hadronic vacuum polarization function in Minkowski spacetime. We show with the example of the leading-order QCD correction to the muon anomalous magnetic moment that this approach can provide a valuable alternative method for calculations of physical quantities where the hadronic vacuum polarization function enters.

引用

页数：11