Lattice QCD and the Timelike Pion Form Factor

被引:90
作者
Meyer, Harvey B. [1 ]
机构
[1] Johannes Gutenberg Univ Mainz, Inst Kernphys, D-55099 Mainz, Germany
关键词
FINITE-VOLUME; MATRIX;
D O I
10.1103/PhysRevLett.107.072002
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We present a formula that allows one to calculate the pion form factor in the timelike region 2m(pi) <= root s <= 4m(pi) in lattice QCD. The form factor quantifies the contribution of two-pion states to the vacuum polarization. It must be known very accurately in order to reduce the theoretical uncertainty on the anomalous magnetic moment of the muon. At the same time, the formula constitutes a rare example where, in a restricted kinematic regime, the spectral function of a conserved current can be determined from Euclidean observables without an explicit analytic continuation.
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页数:4
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