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Upper Bound on the Hadronic Light-by-Light Contribution to the Muon g-2

Jens Erler·Genaro Toledo Sanchez
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Abstract

There are indications that hadronic loops in some electroweak observables are almost saturated by parton level effects. Taking this as the hypothesis for this work, we propose a genuine parton level estimate of the hadronic light-by-light contribution to the anomalous magnetic moment of the muon, a_mu (LBL,had). Our quark mass definitions and values are motivated in detail, and the simplicity of our approach allows for a transparent error estimate. For infinitely heavy quarks our treatment is exact, while for asymptotically small quark masses a_mu (LBL,had) is overestimated. Interpolating, this suggests quoting an upper bound. We obtain a_mu (LBL,had) < 1.59 10^-9 (95% CL).

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Jens Erler, Genaro Toledo Sanchez. 2006-10-13. Upper Bound on the Hadronic Light-by-Light Contribution to the Muon g-2. https://doi.org/10.1103/physrevlett.97.161801

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