The partonic structure of the electron
Although the computation of a vast class of $e^+e^-$ cross sections
is fully doable in perturbative QED, the perturbative series is not
well behaved unless a mechanism is devised that allows one to take
into account, to all orders in the coupling constant, the effects
due to multiple emissions of photons and $e^+e^-$ pairs off the
incoming particles. I shall discuss one such mechanism, that has
a strict analogy with its counterpart in QCD and is based upon
the so-called Parton Distribution Functions (PDFs) of the electron
and the positron. I shall present recent results that have improved
the accuracy to which these PDFs are known.
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