  In this letter, we address the question of whether the almost four standard
deviations difference between theory and experiment for the muon anomalous
magnetic moment $a_\mu$ can be explained as a higher-order Standard Model
perturbation effect in the pion form factor measurements. This question has,
until now, remained open, obscuring the source of discrepancies between the
measurements. We calculate the last radiative corrections for the extraction of
the pion form factor, which were believed to be potentially substantial enough
to explain the data within the Standard Model. We find that the corrections are
too small to diminish existing discrepancies in the determination of the pion
form factor for different kinematical configurations of low-energy BABAR,
BESS-III and KLOE experiments. Consequently, they cannot noticeably change the
previous predictions for $a_\mu$ and decrease the deviations between theory and
direct measurements. To solve the above issues, new data and better
understanding of low-energy experimental setups are needed, especially as new
direct $a_\mu$ measurements at Fermilab and J-PARC will provide new insights
and substantially shrink the experimental error.
