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The role of vector meson dominance and running masses in the hadronic contributions to the muon g-2

2013/02/21 by Tobias Goecke, Christian S. Fischer, Goecke, Tobias +3
Computer Science · Physics and Astronomy · #Computational Physics and Python Applications #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.48550/arxiv.1302.5252

Contribution to 'Quark Confinement and the Hadron Spectrum X, October 8-12, 2012, Munich, Germany'

arxiv created 2013/02/21 · openalex publication_date 2013/02/21 · arxiv updated 2013/02/22 · openalex created_date 2022/08/23 · openalex updated_date 2026/07/28

Abstract

We summarize our recent results for the quark loop part of the light-by-light scattering contribution as well as the hadronic vacuum polarisation contributions to the anomalous magnetic moment of the muon. In particular we focus on the role played by the momentum dependence of the quark- and quark-photon vertex dressing functions. We give a detailed comparison of the Dyson-Schwinger description of this contribution to the corresponding picture emerging from hadronic models in particular the extended Nambu--Jona-Lasonio model (ENJL). We find that the details of the momentum dependence are important on a quantitative level. Especially the transverse parts of the quark-photon-vertex, which serve as a dynamical extension of simple vector meson dominance models, do not yield the large suppression of the light-by-light contribution found in the ENJL model if realistic dressings are taken into account.

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