Form Factors in the radiative pion decay

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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14 pages, no figures. Typos corrected. Accepted for publication in The European Physical Journal C

Scientific paper

10.1140/epjc/s10052-007-0393-5

We perform an analysis of the form factors that rule the structure-dependent amplitude in the radiative pion decay. The resonance contributions to pion -> e nu_e gamma decays are computed through the proper construction of the vector and axial-vector form factors by setting the QCD driven asymptotic properties of the three-point Green functions VVP and VAP, and by demanding the smoothing of the form factors at high transfer of momentum. A comparison between theoretical and experimental determinations of the form factors is also carried out. We also consider and evaluate the role played by a non-standard tensor form factor. We conclude that, at present and due to the hadronic incertitudes, the search for New Physics in this process is not feasible.

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