Radiative Correction to the anti-nu_e (nu_e) Spectrum in beta-Decay

Details Radiative Correction to the anti-nu_e (nu_e) Spectrum in beta-Decay Radiative Correction to the anti-nu_e (nu_e) Spectrum in beta-Decay

2011-05-13

arxiv.org/abs/1105.2842v2

Phys.Rev.D84:014021,2011

Physics

High Energy Physics

High Energy Physics - Phenomenology

Sentences added at the end of the conclusions, additional reference included, two typographical errors in the text corrected.

Scientific paper

10.1103/PhysRevD.84.014021

We derive an analytic expression for the O(alpha) radiative correction to the anti-nu_e (nu_e) spectrum in allowed beta-decay. The m -> 0 limit is convergent and leads to a very simple result (m is the electron mass). This is in sharp contrast to the correction to the e^- (e^+) spectrum, that diverges as m -> 0, an important difference that we explain on theoretical grounds. After discussing some of their general properties, we use the corrections to the anti-nu_e and e^- spectra to derive the corresponding correction to the e^- -> anti-nu_e conversion, a relation that is of considerable interest for reactor studies of neutrino oscillations.

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