Radiative correction to electron-neutrino correlation in <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>Λ</mi></math></span> <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>β</mi></math></span> decay

K. Tóth; F. Glück

doi:10.1103/PhysRevD.40.119

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Radiative correction to electron-neutrino correlation in $Λ$ $β$ decay

K. Tóth and F. Glück

Central Research Institute for Physics, H-1525 Budapest 114, P.O. Box 49, Hungary

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Phys. Rev. D 40, 119 – Published 1 July, 1989

DOI: https://doi.org/10.1103/PhysRevD.40.119

Abstract

The order- $α$ radiative correction for the $β$ -decay process $Λ \to pe \bar{ν}$ is studied in order to meet the needs of high-precision experiments which measure the electron-neutrino angular distribution. The relative correction is tabulated for the decay distribution in terms of the electron energy $E_{e}$ and ${cos θ}_{e \bar{ν}}$ . The one-variable distribution with respect to ${cos θ}_{e \bar{ν}}$ is decomposed in terms of the form-factor combinations $f_{1}^{2}$ , $f_{1} f_{2}$ , etc., and the radiative correction is evaluated for each term. For the electron-neutrino correlation parameter $α_{e ν}$ , a huge relative correction is found due to its small value in the lowest order.

References (12)

J. Wise et al., Phys. Lett. 91B, 165 (1980) ibid.98B, 123 (1981)
D. Jensen et al., in Proceedings of HEP83, International Europhysics Conference on High Energy Physics, Brighton, England, 1983, edited by J. Guy and C. Costain (Rutherford Appleton Laboratory, Chilton, 1983), p. 255
A. Garcia, Phys. Rev. D 25, 1348 (1982)
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K. Tóth, K. Szegö, and A. Margaritis, Phys. Rev. D 33, 3306 (1986)
J. M. Gaillard and G. Sauvage, Annu. Rev. Nucl. Part. Sci. 34, 351 (1985)
F. Glück, K. Tóth (in preparation)
M. Bourquin et al., Z. Phys. C 21, 1 (1983)
V. Linke, Nucl. Phys. B12, 669 (1969)

[c1] J. Wise et al., Phys. Lett. 91B, 165 (1980) ibid.98B, 123 (1981)

[c2] D. Jensen et al., in Proceedings of HEP83, International Europhysics Conference on High Energy Physics, Brighton, England, 1983, edited by J. Guy and C. Costain (Rutherford Appleton Laboratory, Chilton, 1983), p. 255

[c3] A. Garcia, Phys. Rev. D 25, 1348 (1982)

[c4] K. Fujikawa and M. Igarashi, Nucl. Phys. B103, 497 (1976)

[c5] Y. Yokoo, S. Suzuki, and M. Morita, Prog. Theor. Phys. 50, 1894 (1973)

[c6] A. Sirlin, Phys. Rev. 164, 1767 (1967)

[c7] A. Sirlin, Nucl. Phys. B196, 83 (1982)

[c8] K. Tóth, K. Szegö, and A. Margaritis, Phys. Rev. D 33, 3306 (1986)

[c9] J. M. Gaillard and G. Sauvage, Annu. Rev. Nucl. Part. Sci. 34, 351 (1985)

[c10] F. Glück, K. Tóth (in preparation)

[c11] M. Bourquin et al., Z. Phys. C 21, 1 (1983)

[c12] V. Linke, Nucl. Phys. B12, 669 (1969)

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Radiative correction to electron-neutrino correlation in $Λ$ $β$ decay

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Radiative correction to electron-neutrino correlation in Λ β decay

Abstract

References (12)

Radiative correction to electron-neutrino correlation in $Λ$ $β$ decay