Hadronic Contributions to the Anomalous Magnetic Moment of the Muon from Lattice QCD

M. Cè, A. Gérardin, G. von Hippel, B. Hörz, R. J. Hudspith, H. B. Meyer, K. Miura, D. Mohler, K. Ottnad, S. Paul, A. Risch, T. San José, S. Schaefer, J. Wilhelm and H. Wittig ()
Additional contact information
M. Cè: Theoretical Physics Department, CERN
A. Gérardin: Aix Marseille Univ, Université de Toulon, CNRS, CPT
G. von Hippel: Universität Mainz, Institut für Kernphysik and PRISMA+ Cluster of Excellence
B. Hörz: Lawrence Berkeley National Laboratory, Nuclear Science Division
R. J. Hudspith: Universität Mainz, Institut für Kernphysik and PRISMA+ Cluster of Excellence
H. B. Meyer: Universität Mainz, Institut für Kernphysik and PRISMA+ Cluster of Excellence
K. Miura: Johannes Gutenberg Universität and GSI Helmholtzzentrum für Schwerionenforschung, Helmholtz Institut Mainz
D. Mohler: Johannes Gutenberg Universität and GSI Helmholtzzentrum für Schwerionenforschung, Helmholtz Institut Mainz
K. Ottnad: Universität Mainz, Institut für Kernphysik and PRISMA+ Cluster of Excellence
S. Paul: Universität Mainz, Institut für Kernphysik and PRISMA+ Cluster of Excellence
A. Risch: John von Neumann-Institut für Computing, Deutsches Elektronen-Synchrotron, DESY
T. San José: Johannes Gutenberg Universität and GSI Helmholtzzentrum für Schwerionenforschung, Helmholtz Institut Mainz
S. Schaefer: John von Neumann-Institut für Computing, Deutsches Elektronen-Synchrotron, DESY
J. Wilhelm: Universität Mainz, Institut für Kernphysik and PRISMA+ Cluster of Excellence
H. Wittig: Universität Mainz, Institut für Kernphysik and PRISMA+ Cluster of Excellence

A chapter in High Performance Computing in Science and Engineering '20, 2021, pp 5-19 from Springer

Abstract: Abstract The Standard Model of Particle Physics constitutes a highly successful theoretical framework for the treatment of the strong, electromagnetic and weak interactions. Still, it fails to provide explanations for dark matter or the abundance of matter over antimatter in the universe. A promising hint for physics beyond the Standard Model is provided by the persistent tension of 3.7 standard deviations between the theoretical estimate for the muon anomalous magnetic moment, $$a_\mu \equiv \frac{1}{2}(g-2)_\mu $$ a μ ≡ 1 2 ( g - 2 ) μ , and its direct measurement. With the advent of new and more precise measurements, the precision of the theoretical estimate, which is dominated by effects of the strong interaction, must be increased. In our project we compute a variety of hadronic contributions to precision observables, using the first-principles method of Lattice QCD. In particular, we focus on the hadronic vacuum polarisation and light-by-light scattering contributions to $$a_\mu $$ a μ , as well as the hadronic contributions to the energy dependence of the electromagnetic coupling and the electroweak mixing angle.

Date: 2021
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DOI: 10.1007/978-3-030-80602-6_1

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