Radiative corrections to the Dalitz plot of K_l3^± decays:
Contribution of the four-body region
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by
J. J. Torres, A. Martinez, M. Neri, C. Juarez-Leon, Ruben
Flores-Mendieta
2012
Abstract
We calculate the radiative corrections to the Dalitz plot of K_l3^±
decays to order (alpha/pi)(q/M_1), where q is the momentum transfer and M_1 is
the mass of the kaon. We restrict the analysis to the so-called four-body
region, which arises when no discrimination of real photons is made either
kinematically or experimentally. We present our results in two ways: the first
one with the triple integration over the photon kinematical variables ready to
be performed numerically and the second one in a fully analytical form. Our
results can be useful in experimental analyses of the Dalitz plot, by
evaluating the model-independent coefficients of the quadratic products of the
form factors; we provide some numbers as a case example. We find a small,
albeit non-negligible, contribution from the four-body region to the radiative
correction to the total decay rate of K_l3^± decays.
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