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Pade approximants and g-2 for the muon

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arxiv 1210.7611 v1 pith:CBJLPTRP submitted 2012-10-29 hep-lat hep-ph

Christopher Aubin (Fordham U.) , Thomas Blum (U. Conn.) , Maarten Golterman (IFEA , UAB , SFSU) , Santiago Peris (UAB) This is my paper · ORCID
classification hep-lathep-ph
keywords muonpolarizationvacuumhadronicintegrallatticemagneticmethod
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The leading hadronic contribution to the muon anomalous magnetic moment is given by a weighted euclidean momentum integral of the hadronic vacuum polarization. This integral is dominated by momenta of order the muon mass. Since in lattice QCD it is difficult to compute the vacuum polarization at a large number of low momenta, a parametrization of the vacuum polarization is required to extrapolate the data. Most fits to date are based on vector meson dominance, which introduces model dependence into the lattice computation of the magnetic moment. Here we introduce a model-independent extrapolation method, and present a few first tests of this new method.

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  1. A remark on Chebyshev rational functions, multipoint Pad\'e approximants and Noise

    math.CA 2026-06 conditional novelty 6.0 of 10

    Chebyshev rational functions with prescribed poles are shown to be explicit multipoint Padé approximants to 1/sqrt(x^2-1), with recurrences, convergence proofs, and noise-breakdown numerics.

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