Two-pion contribution to hadronic vacuum polarization

被引：411

作者：

Colangelo, Gilberto ^{[1
]}

Hoferichter, Martin ^{[2
]}

Stoffer, Peter ^{[3
]}

机构：

[1] Univ Bern, Albert Einstein Ctr Fundamental Phys, Inst Theoret Phys, Sidlerstr 5, CH-3012 Bern, Switzerland

[2] Univ Washington, Inst Nucl Theory, Seattle, WA 98195 USA

[3] Univ Calif San Diego, Dept Phys, La Jolla, CA 92093 USA

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2019年 / 2019卷 / 02期

基金：

瑞士国家科学基金会;

关键词：

Chiral Lagrangians; Effective Field Theories; Nonperturbative Effects; Precision QED; PION FORM-FACTOR; ANOMALOUS MAGNETIC-MOMENT; CHIRAL PERTURBATION-THEORY; PI(+)PI(-) CROSS-SECTION; MUON G-2; PRECISION-MEASUREMENT; ASYMPTOTIC-BEHAVIOR; EXCLUSIVE PROCESSES; DISPERSIVE ANALYSIS; PI(-)D SCATTERING;

D O I：

10.1007/JHEP02(2019)006

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 present a detailed analysis of e(+)e(-) (+-) data up to =1 GeV in the framework of dispersion relations. Starting from a family of P-wave phase shifts, as derived from a previous Roy-equation analysis of scattering, we write down an extended Omnes representation of the pion vector form factor in terms of a few free parameters and study to which extent the modern high-statistics data sets can be described by the resulting fit function that follows from general principles of QCD. We find that statistically acceptable fits do become possible as soon as potential uncertainties in the energy calibration are taken into account, providing a strong cross check on the internal consistency of the data sets, but preferring a mass of the meson significantly lower than the current PDG average. In addition to a complete treatment of statistical and systematic errors propagated from the data, we perform a comprehensive analysis of the systematic errors in the dispersive representation and derive the consequences for the two-pion contribution to hadronic vacuum polarization. In a global fit to both time- and space-like data sets we find a(1GeV)=495.0(1.5)(2.1)x10(-10) and a(0.63GeV)=132.8(0.4)(1.0)x10(-10). While the constraints are thus most stringent for low energies, we obtain uncertainty estimates throughout the whole energy range that should prove valuable in corroborating the corresponding contribution to the anomalous magnetic moment of the muon. As side products, we obtain improved constraints on the P-wave, valuable input for future global analyses of low-energy scattering, as well as a determination of the pion charge radius, < r(2)> = 0.429(1)(4) fm(2).

引用

页数：49

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