Th. Lippert

TL;DR: Substantial precision is reached to discriminate between the measurement of the anomalous magnetic moment of the muon and the predictions of dispersive methods, which favours the experimentally measured value over those obtained using the dispersion relation.

TL;DR: This paper investigates several methods to compute the product of the matrix sign-function with a vector, in particular Lanczos based methods and partial fraction expansion methods and presents error bounds which allow to guarantee a given accuracy when terminating the Lanczos method and the multishift-CG solver.

TL;DR: In this article, the anomalous magnetic moment of the muon was determined based on ab initio quantum chromodynamics and quantum electrodynamics simulations, and the experimental results were used to discriminate between the measurement of the magnetic moment and the predictions of dispersive methods.

TL;DR: In this article, the authors used lattice quantum chromodynamics (QCD) calculations, in which all systematics are controlled and all necessary renormalizations are performed nonperturbatively.

TL;DR: In this paper, the authors exploit the full information content from a given lattice configuration by measuring an overdetermined set of lattice observables to provide maximal statistical constraints on the generalized parton distributions at a given virtuality t.