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2011

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

Sirlin, A.

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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.

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

Built on

T. Kinoshita, A. Sirlin, Phys. Rev. 113
1959
Earlier work this paper cites.
T. Kinoshita, J. Math. Phys. 3
1962
Earlier work this paper cites.
T. D. Lee, M. Nauenberg, Phys. Rev. 133
1964
Earlier work this paper cites.
A. Sirlin, Phys. Rev. 164
1967
Earlier work this paper cites.

Similar

A. Sirlin, Acta Physica Austriaca, Supplement V
1968
Cited alongside, same era.
A. Sirlin, Rev. Mod. Phys. 50
1978
Cited alongside, same era.
C. Bemporad, G. Gratta, P. Vogel, Rev. Mod. Phys. 74
2002
Cited alongside, same era.
A. Czarnecki, W. J. Marciano, A. Sirlin, Phys. Rev. D70
2004
Cited alongside, same era.
Th. A. Mueller et al., [arXiv:1101.2663 [hep-ex]], and references cited therein
Original
Cited in the paper.

Then

W. J. Marciano, A. Sirlin, Phys. Rev. Lett. 96
2006
Later among the works it cites.
A. Czarnecki, W. J. Marciano, A. Sirlin, Phys. Rev. Lett. 99
2007
Later among the works it cites.
P. Vogel, Phys. Rev. C76
2007
Later among the works it cites.
J. C. Hardy, I. S. Towner, Phys. Rev. C79
2009
Later among the works it cites.

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