Hadronic light-by-light scattering in the muon g-2: A Dyson-Schwinger equation approach
- Institute for Nuclear Physics, Darmstadt University of Technology, Schlossgartenstrasse 9, 64289 Darmstadt (Germany)
- Institut fuer Theoretische Physik, Universitaet Giessen, 35392 Giessen (Germany)
We determine the hadronic light-by-light scattering contribution to the anomalous magnetic moment of the muon using the framework of Dyson-Schwinger and Bethe-Salpeter equations of QCD. Our result for the pseudoscalar ({pi}{sup 0},{eta},{eta}{sup '}) meson-exchange diagram is commensurate with previous calculations. In our calculation of the quark-loop contribution we improve upon previous approaches by explicitly implementing constraints due to gauge invariance. The impact of transverse contributions, presumably dominated by vector-meson poles, are only estimated at this stage. As a consequence, our value a{sub {mu}}{sup LBL;quarkloop}=(136{+-}59)x10{sup -11} is significantly larger. Taken at face value, this then leads to a revised estimate of the total a{sub {mu}=}116 591 891.0(105.0)x10{sup -11}.
- OSTI ID:
- 21541593
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 83, Issue 9; Other Information: DOI: 10.1103/PhysRevD.83.094006; (c) 2011 American Institute of Physics; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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BETHE-SALPETER EQUATION
BOSON-EXCHANGE MODELS
COMPUTERIZED SIMULATION
DYSON REPRESENTATION
ETA MESONS
GAUGE INVARIANCE
MAGNETIC MOMENTS
MUONS
PIONS NEUTRAL
PSEUDOSCALARS
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARKS
VECTOR MESONS
BOSONS
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
FIELD THEORIES
HADRONS
INVARIANCE PRINCIPLES
LEPTONS
MATHEMATICAL MODELS
MESONS
PARTICLE MODELS
PERIPHERAL MODELS
PIONS
PSEUDOSCALAR MESONS
SIMULATION