Observations on the radiative corrections to pion beta-decay

Abstract

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.

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

References in corpus (4)

• Superallowed 0+ to 0+ nuclear beta decays: A new survey with precision tests of the conserved vector current hypothesis and the standard model
• Improved Calculation of Electroweak Radiative Corrections and the Value of V_ud
• Precision Measurements and CKM Unitarity
• Measurement of the Positive Muon Lifetime and Determination of the Fermi Constant to Part-per-Million Precision

Cited by in corpus (7)

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• Testing Lepton Flavor Universality with Pion, Kaon, Tau, and Beta Decays
• New method for calculating electromagnetic effects in semileptonic beta-decays of mesons
• Experimental study of rare charged pion decays
• Pion Beta Decay and CKM Unitarity
• Pion $\beta$ decay and $\tau \to \pi \pi {\nu }_{\tau }$ beyond leading logarithms