The electron energy spectrum in muon decay through O(alpha^2)

Details The electron energy spectrum in muon decay through O(alpha^2) The electron energy spectrum in muon decay through O(alpha^2)

2005-05-09

arxiv.org/abs/hep-ph/0505069v2

JHEP0709:014,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

19 pages, 2 figures; reference added

Scientific paper

10.1088/1126-6708/2007/09/014

We compute the complete O(alpha^2) QED corrections to the electron energy spectrum in unpolarized muon decay, including the full dependence on the electron mass. Our calculation reduces the theoretical uncertainty on the electron energy spectrum well below 10^{-4}, the precision anticipated by the TWIST experiment at TRIUMF, which is currently performing this measurement. For this calculation, we extend techniques we have recently developed for performing next-to-next-to-leading order computations to handle the decay spectra of massive particles. Such an extension enables further applications to precision predictions for b, t, and Higgs differential decay rates.

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