Leading order hadronic contribution to g-2 from twisted mass QCD
Dru B. Renner, Xu Feng, Karl Jansen, Marcus Petschlies

TL;DR
This paper computes the leading order hadronic contribution to the muon g-2 using twisted mass lattice QCD, analyzing effects of pion mass, lattice spacing, finite-size effects, and disconnected contributions to improve theoretical precision.
Contribution
It introduces a lattice QCD calculation of the hadronic g-2 contribution with detailed analysis of systematic effects and disconnected diagrams, enhancing accuracy over previous methods.
Findings
Quantified the hadronic contribution across various pion masses.
Assessed lattice artifacts and finite-size effects systematically.
Included disconnected contributions in the calculation.
Abstract
We calculate the leading order hadronic contribution to the muon anomalous magnetic moment using twisted mass lattice QCD. The pion masses range from 330 MeV to 650 MeV. We use two lattice spacings, a=0.079 fm and 0.063 fm, to study lattice artifacts. Finite-size effects are studied for two values of the pion mass, and we calculate the disconnected contributions for four ensembles. Particular attention is paid to the dominant contributions of the vector mesons, both phenomenologically and from our lattice calculation.
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