Rescattering Effects in the Hadronic-Light-by-Light Contribution to the Anomalous Magnetic Moment of the Muon

被引：103

作者：

Colangelo, Gilberto ^{[1
]}

Hoferichter, Martin ^{[2
,3
]}

Procura, Massimiliano ^{[4
]}

Stoffer, Peter ^{[5
,6
,7
]}

机构：

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

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

[3] Univ Calif Santa Barbara, Kavli Inst Theoret Phys, Santa Barbara, CA 93106 USA

[4] CERN, Theoret Phys Dept, CH-1211 Geneva, Switzerland

[5] Univ Bonn, Helmholtz Inst Strahlen & Kernphys Theory, D-53115 Bonn, Germany

[6] Univ Bonn, Bethe Ctr Theoret Phys, D-53115 Bonn, Germany

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

来源：

PHYSICAL REVIEW LETTERS | 2017年 / 118卷 / 23期

基金：

欧盟第七框架计划; 美国国家科学基金会; 瑞士国家科学基金会;

关键词：

SCATTERING CONTRIBUTION; PRECISION-MEASUREMENT; INVARIANT AMPLITUDES; DISPERSIVE ANALYSIS; PI; ROY; EQUATIONS; OMEGA; ETA; G-2;

D O I：

10.1103/PhysRevLett.118.232001

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present a first model-independent calculation of pp intermediate states in the hadronic-light-by-light (HLBL) contribution to the anomalous magnetic moment of the muon (g -2)(mu) that goes beyond the scalar QED pion loop. To this end, we combine a recently developed dispersive description of the HLBL tensor with a partial-wave expansion and demonstrate that the known scalar-QED result is recovered after partial-wave resummation. Using dispersive fits to high-statistics data for the pion vector form factor, we provide an evaluation of the full pion box ap box a(mu)(pi box) = -15.9(2) x 10(-11). We then construct a suitable input for the gamma*gamma* -> pi pi helicity partial waves, based on a pion-pole left-hand cut and show that for the dominant charged-pion contribution, this representation is consistent with the two-loop chiral prediction and the COMPASS measurement for the pion polarizability. This allows us to reliably estimate S-wave rescattering effects to the full pion box and leads to our final estimate for the sum of these two contributions a(mu)(pi box) + a(mu,J=0)(pi pi,pi-pole) (LHC) = -24(1) x 10(-11).

引用

页数：7

共 90 条

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