Observations on the radiative corrections to pion beta-decay

Details Observations on the radiative corrections to pion beta-decay Observations on the radiative corrections to pion beta-decay

2011-09-06

arxiv.org/abs/1109.1069v2

Physics

High Energy Physics

High Energy Physics - Phenomenology

5 pages, 1 figure. V2: two paragraphs have been added in Section III. Final version on PRD

Scientific paper

We find that, in the local V-A theory, the radiative corrections to pion beta-decay involving the weak vector current, when evaluated in the current algebra (CA) formulation in which quarks are the fundamental underlying fields, show a small difference with the more elementary calculations based directly on the pion fields. We show that this difference arises from a specific short-distance effect that depends on the algebra satisfied by the weak and electromagnetic currents. On the other hand, we present a simple theoretical argument that concludes that this difference does not occur when the CA formulation is compared with the chiral perturbation theory (chiPT) approach. Comparisons with previous studies, and with a more recent calculation based on chiPT, are included. We also briefly review the important differences between the results in the local V-A theory and the Standard Model.

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