Vacuum polarization and hadronic contribution to muon g-2 from lattice QCD

被引:42
作者
Göckeler, M [1 ]
Horsley, R
Kürzinger, W
Pleiter, D
Rakow, PEL
Schierholz, G
机构
[1] Univ Leipzig, Inst Theoret Phys, D-04109 Leipzig, Germany
[2] Univ Regensburg, Inst Theoret Phys, D-93040 Regensburg, Germany
[3] Univ Edinburgh, Sch Phys, Edinburgh EH9 3JZ, Midlothian, Scotland
[4] Deutsch Elektron Synchrotron DESY, John von Neumann Inst Comp NIC, D-15735 Zeuthen, Germany
[5] Free Univ Berlin, Inst Theoret Phys, D-14195 Berlin, Germany
[6] Univ Liverpool, Dept Math Sci, Div Theoret Phys, Liverpool L69 3BX, Merseyside, England
[7] Deutsch Elektron Synchrotron DESY, D-22603 Hamburg, Germany
关键词
QCD; Lattice; e(+)e(-) annihilation; muon anomalous magnetic moment;
D O I
10.1016/j.nuclphysb.2004.03.026
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We compute the vacuum polarization on the lattice in quenched QCD using non-perturbatively improved Wilson fermions. Above Q(2) of about 2 GeV(2) the results are very close to the predictions of perturbative QCD. Below this scale we see signs of non-perturbative effects which we can describe by the use of dispersion relations. We use our results to estimate the light quark contribution to the muon's anomalous magnetic moment. We find the result 446(23) x 10(-10), where the error only includes statistical uncertainties. Finally we make some comments on the applicability of the operator product expansion to our data. (C) 2004 Elsevier B.V. All rights reserved.
引用
收藏
页码:135 / 164
页数:30
相关论文
共 42 条
[1]   SOME SIMPLE VACUUM-POLARIZATION PHENOMENOLOGY - E+E- -] HADRONS - MUONIC-ATOM X-RAY DISCREPANCY AND GMU-2 [J].
ADLER, SL .
PHYSICAL REVIEW D, 1974, 10 (11) :3714-3728
[2]   GAUSSIAN SUM-RULES IN QUANTUM CHROMODYNAMICS AND LOCAL DUALITY [J].
BERTLMANN, RA ;
LAUNER, G ;
DERAFAEL, E .
NUCLEAR PHYSICS B, 1985, 250 (01) :61-108
[3]   Lattice calculation of the lowest-order hadronic contribution to the muon anomalous magnetic moment [J].
Blum, T .
PHYSICAL REVIEW LETTERS, 2003, 91 (05) :520011-520014
[4]  
BLUM T, HEPLAT0310064
[5]   Determination of Λ(MS)over-bar from quenched and Nf=2 dynamical QCD [J].
Booth, S ;
Göckeler, M ;
Horsley, R ;
Irving, AC ;
Joo, B ;
Pickles, S ;
Pleiter, D ;
Rakow, PEL ;
Schierholz, G ;
Sroczynski, Z ;
Stüben, H .
PHYSICS LETTERS B, 2001, 519 (3-4) :229-237
[6]   Lattice calculation of 1/p2 corrections to αs and of ΛQCD in the (MOM)over-tilde scheme. [J].
Boucaud, P ;
Burgio, G ;
Di Renzo, F ;
Leroy, JP ;
Micheli, J ;
Parrinello, C ;
Pène, O ;
Pittori, C ;
Rodríguez-Quintero, J ;
Roiesnel, C ;
Sharkey, K .
JOURNAL OF HIGH ENERGY PHYSICS, 2000, (04)
[7]   LA RESONANCE DANS LA DIFFUSION MESON -PI - MESON-PI ET LE MOMENT MAGNETIQUE ANORMAL DU MESON-MU [J].
BOUCHIAT, C ;
MICHEL, L .
JOURNAL DE PHYSIQUE ET LE RADIUM, 1961, 22 (02) :121-121
[8]   Non-perturbative quark mass renormalization in quenched lattice QCD [J].
Capitani, S ;
Lüscher, M ;
Sommer, R ;
Wittig, H .
NUCLEAR PHYSICS B, 1999, 544 (03) :669-698
[9]   Renormalisation and off-shell improvement in lattice perturbation theory [J].
Capitani, S ;
Göckeler, M ;
Horsley, R ;
Perlt, H ;
Rakow, PEL ;
Schierholz, G ;
Schiller, A .
NUCLEAR PHYSICS B, 2001, 593 (1-2) :183-228
[10]   Three-loop polarization function and O(alpha(2)(s)) corrections to the production of heavy quarks [J].
Chetyrkin, KG ;
Kuhn, JH ;
Steinhauser, M .
NUCLEAR PHYSICS B, 1996, 482 (1-2) :213-240