Pseudoscalar-pole contribution to the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:msub><mml:mrow><mml:mi>g</mml:mi></mml:mrow><mml:mrow><mml:mi>μ</mml:mi></mml:mrow></mml:msub><mml:mo>−</mml:mo><mml:mn>2</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:math>: A rational approach

Abstract

We employ a mathematical framework based on rational approximants in order to calculate the pseudoscalar-pole piece of the hadronic light-by-light contribution to the anomalous magnetic moment of the muon, ${a}_{\ensuremath{\mu}}^{\mathrm{HLbL};P}$. The method is systematic and data based, profiting from over 13 different collaborations, and able to ascribe, for the first time, a systematic uncertainty which provides for the model independence. As a result, we obtain ${a}_{\ensuremath{\mu}}^{\mathrm{HLbL};P}=94.3(5.3)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}11}$, whose uncertainty is well below the one foreseen at future experiments measuring the $({g}_{\ensuremath{\mu}}\ensuremath{-}2)$.