On the Time Momentum Representation of Hadronic Vacuum Polarization and ${\mathbf{g}}_{\mathbf{\mu }}-2$

Abstract

We propose a new set of model independent approximants adapted to the time momentum representation (TMR) of hadronic vacuum polarization (HVP) and its contribution to $g_{\mu }-2$. They provide a way to extrapolate lattice QCD (LQCD) results obtained in an optimal time-region, to the full range required for an evaluation of the HVP contribution to $g_{\mu }-2$. They offer as well a new way to confront LQCD results in restricted TMR regions, with the full contribution obtained from data driven determinations.

28 pages, 13 figures, 2 tables. A new paragraph added in section 5.2 . Version published in JHEP

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