Solar neutrinos: Radiative corrections in neutrino-electron scattering experiments

John N. Bahcall; Marc Kamionkowski; Alberto Sirlin

doi:10.1103/PhysRevD.51.6146

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Solar neutrinos: Radiative corrections in neutrino-electron scattering experiments

John N. Bahcall

Marc Kamionkowski

Alberto Sirlin

Institute for Advanced Study, Olden Lane, Princeton, New Jersey 08540

Institute for Advanced Study, Olden Lane, Princeton, New Jersey 08540
Physics Department, Columbia University, New York, New York 10027

Department of Physics, New York University, New York, New York 10003

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Phys. Rev. D 51, 6146 – Published 1 June, 1995

DOI: https://doi.org/10.1103/PhysRevD.51.6146

Abstract

Radiative corrections to the electron recoil-energy spectra and to total cross sections are computed for neutrino-electron scattering by solid neutrinos. Radiative corrections change monotonically the electron recoil spectrum for incident ${}^{8}B$ neutrinos, with the relative probability of observing recoil electrons being reduced by about 4% at the highest electron energies. For p-p and ${}^{7}{Be}$ neutrinos, the recoil spectra are not affected significantly. Total cross sections for solar neutrino-electron scattering are reduced by about 2% compared to previously computed values. We also calculate the recoil spectra from ${}^{13}N$ and ${}^{15}O$ neutrinos including radiative corrections.

References (24)

K. S. Hirata et al., Phys. Rev. Lett. 63, 16 (1989); , Phys. Rev. D 44, 2241 (1991); Y. Suzuki, in Proceedings of the 16th International Conference on Neutrino Physics and Astrophysics, Eilat, Israel, 1994 (unpublished).
L. Wolfenstein, Phys. Rev. D 17, 2369 (1978); ibid. 20, 2634 (1979).
S. P. Mikheyev and A. Yu. Smirnov, Sov. J. Nucl. Phys. 42, 913 (1986); Nuovo Cimento C 9, 17 (1986) Prog. Part. Nucl. Phys. 23, 41 (1989).
N. Hata and P. Langacker, Phys. Rev. D (to be published); G. Fiorentini et al., Phys. Rev. D 49, 6298 (1994); P. I. Krastev and S. T. Petcov, Phys. Lett. B 299, 99 (1993); X. Shi and D. N. Schramm, Particle World 3, 149 (1993).
H. Chen, Phys. Rev. Lett. 55, 1534 (1985); G. Aardsma et al., Phys. Lett. B 194, 321 (1987); G. Ewan et al., Sudbury Neutrino Observatory Report No. SNO 87 12, 1987 (unpublished).
Y. Totsuka, in Proceedings of the International Symposium on Underground Physics Experiments, edited by K. Nakamura (ICRR, University of Tokyo, Tokyo, 1990), p. 129; A. Suzuki, in Proceedings of the Workshop on Elementary Particle Picture of the Universe, Tsukuba, Japan, 1987, edited by M. Yoshimura, Y. Totsuka, and K. Nakamura (KEK Report No. 87 1, Tsukuba, 1987) p. 136; M. Takita, in Frontiers of Neutrino Astrophysics, edited by Y. Suzuki and K. Nakamura (Universal Academy Press, Tokyo, 1993), p. 135.
J. P. Revol, in Frontiers of Neutrino Astrophysics [6], p. 167; J. N. Bahcall, M. Baldo Ceolin, D. Cline and C. Rubbia, Phys. Lett. B 178, 324 (1986); C. Rubbia, CERN EP Internal Report No. 77 8, 1977 (unpublished); The ICARUS Collaboration, ICARUS II, A Second Generation Proton Decay Experiment and Neutrino Observatory at the Gran Sasso Laboratory (unpublished), Vols. I and II.
R. S. Raghavan, in Proceedings of the XXVth International Conference on High Energy Physics, Singapore, 1990, edited by K. K. Phua and Y. Yamaguchi (World Scientific, Singapore, 1990), Vol. 1, p. 482; Borexino Collaboration, G. Ranucci, in Advanced Technology and Particle Physics, Proceedings of the Third International Symposium, Como, Italy, 1992, edited by E. Borchi et al. [Nucl. Phys. B (Proc. Suppl.) 32, 149 (1993)]; C. Arpasella , in ``Borexino at Gran Sasso: Proposal for a real time detector for low energy solar neutrinos,'' University of Milan, INFN report (unpublished), Vols. I and II; U.S. Borexino Collaboration, ``Borexino A Real Time Detector for Low Energy Solar Neutrinos,'' Princeton University Report, 1992 (unpublished).
R. E. Lanou, H. J. Maris and G. M. Seidel, Phys. Rev. Lett. 58, 2498 (1987); S. R. Bandler et al., ibid. 68, 2429 (1992); F. S. Porter, Ph.D thesis, Brown University, 1994; S. R. Bandler et al., J. Low Temp. Phys. 3, 715 (1993); , ibid. 3, 785 (1993).
J. Seguinot, T. Ypsilantis, and A. Zichichi, in Proceedings of the Fourth International Symposium on Neutrino Telescopes, Venice, Italy, 1992, edited by M. Baldo Ceolin (University of Padua, Padua, 1992), p. 289.
J. N. Bahcall, Neutrino Astrophysics (Cambridge University Press, Cambridge, England, 1989).
F. Reines and W. R. Kropp, Phys. Rev. Lett. 12, 303 (1964).
J. N. Bahcall, Phys. Rev. 136, B1164 (1964).
G. 't Hooft, Phys. Lett. 37B, 195 (1971).
J. N. Bahcall, Rev. Mod. Phys. 59, 505 (1987).
J. N. Bahcall, Phys. Rev. D 44, 1644 (1991).
S. M. Bilenky and S. T. Petcov, Rev. Mod. Phys. 59, 671 (1987).
T. K. Kuo and J. Pantaleone, Rev. Mod. Phys. 61, 937 (1989).
B. Pietrzyk, in Electroweak Interactions and Unified Theories, Proceedings of the 29th Rencontre de Moriond, Meribel les Allues, France (Editions Frontieres, Gif sur Yvette, 1994). This talk reports the global average sinsup 2 ${theta}_{eff}^{lept}$ = 0.2320 pm 0. $0003_{- 0.0002}$ ${}^{+ 0.0001}$ , where the central value is for $m_{H}$ =300 GeV, and the extreme values are for $M_{H}$ =1 TeV, 60 GeV. The value for sinsup 2 hat theta $_{W}$ ( $m_{Z}$ ) is obtained from the effective parameter sinsup 2 ${theta}_{eff}^{lept}$ by applying the correction discussed in cite24.
W. J. Marciano, in Spin Structure in High Energy Processes, Proceedings of the 21st SLAC Summer Institute, Stanford, California, 1993 (SLAC, Stanford, 1993).
S. Sarantakos, A. Sirlin and W. Marciano, Nucl. Phys. B217, 84 (1983).
M. Ram, Phys. Rev. 155, 1539 (1967).
L. Lewin, Dilogarithms and Associated Functions (MacDonald, London, 1948).
P. Gambino and A. Sirlin, Phys. Rev. D 49, R1160 (1994).

[c1] K. S. Hirata et al., Phys. Rev. Lett. 63, 16 (1989); , Phys. Rev. D 44, 2241 (1991); Y. Suzuki, in Proceedings of the 16th International Conference on Neutrino Physics and Astrophysics, Eilat, Israel, 1994 (unpublished).

[c2] L. Wolfenstein, Phys. Rev. D 17, 2369 (1978); ibid. 20, 2634 (1979).

[c3] S. P. Mikheyev and A. Yu. Smirnov, Sov. J. Nucl. Phys. 42, 913 (1986); Nuovo Cimento C 9, 17 (1986) Prog. Part. Nucl. Phys. 23, 41 (1989).

[c4] N. Hata and P. Langacker, Phys. Rev. D (to be published); G. Fiorentini et al., Phys. Rev. D 49, 6298 (1994); P. I. Krastev and S. T. Petcov, Phys. Lett. B 299, 99 (1993); X. Shi and D. N. Schramm, Particle World 3, 149 (1993).

[c5] H. Chen, Phys. Rev. Lett. 55, 1534 (1985); G. Aardsma et al., Phys. Lett. B 194, 321 (1987); G. Ewan et al., Sudbury Neutrino Observatory Report No. SNO 87 12, 1987 (unpublished).

[c6] Y. Totsuka, in Proceedings of the International Symposium on Underground Physics Experiments, edited by K. Nakamura (ICRR, University of Tokyo, Tokyo, 1990), p. 129; A. Suzuki, in Proceedings of the Workshop on Elementary Particle Picture of the Universe, Tsukuba, Japan, 1987, edited by M. Yoshimura, Y. Totsuka, and K. Nakamura (KEK Report No. 87 1, Tsukuba, 1987) p. 136; M. Takita, in Frontiers of Neutrino Astrophysics, edited by Y. Suzuki and K. Nakamura (Universal Academy Press, Tokyo, 1993), p. 135.

[c7] J. P. Revol, in Frontiers of Neutrino Astrophysics [6], p. 167; J. N. Bahcall, M. Baldo Ceolin, D. Cline and C. Rubbia, Phys. Lett. B 178, 324 (1986); C. Rubbia, CERN EP Internal Report No. 77 8, 1977 (unpublished); The ICARUS Collaboration, ICARUS II, A Second Generation Proton Decay Experiment and Neutrino Observatory at the Gran Sasso Laboratory (unpublished), Vols. I and II.

[c8] R. S. Raghavan, in Proceedings of the XXVth International Conference on High Energy Physics, Singapore, 1990, edited by K. K. Phua and Y. Yamaguchi (World Scientific, Singapore, 1990), Vol. 1, p. 482; Borexino Collaboration, G. Ranucci, in Advanced Technology and Particle Physics, Proceedings of the Third International Symposium, Como, Italy, 1992, edited by E. Borchi et al. [Nucl. Phys. B (Proc. Suppl.) 32, 149 (1993)]; C. Arpasella , in ``Borexino at Gran Sasso: Proposal for a real time detector for low energy solar neutrinos,'' University of Milan, INFN report (unpublished), Vols. I and II; U.S. Borexino Collaboration, ``Borexino A Real Time Detector for Low Energy Solar Neutrinos,'' Princeton University Report, 1992 (unpublished).

[c9] R. E. Lanou, H. J. Maris and G. M. Seidel, Phys. Rev. Lett. 58, 2498 (1987); S. R. Bandler et al., ibid. 68, 2429 (1992); F. S. Porter, Ph.D thesis, Brown University, 1994; S. R. Bandler et al., J. Low Temp. Phys. 3, 715 (1993); , ibid. 3, 785 (1993).

[c10] J. Seguinot, T. Ypsilantis, and A. Zichichi, in Proceedings of the Fourth International Symposium on Neutrino Telescopes, Venice, Italy, 1992, edited by M. Baldo Ceolin (University of Padua, Padua, 1992), p. 289.

[c11] J. N. Bahcall, Neutrino Astrophysics (Cambridge University Press, Cambridge, England, 1989).

[c12] F. Reines and W. R. Kropp, Phys. Rev. Lett. 12, 303 (1964).

[c13] J. N. Bahcall, Phys. Rev. 136, B1164 (1964).

[c14] G. 't Hooft, Phys. Lett. 37B, 195 (1971).

[c15] J. N. Bahcall, Rev. Mod. Phys. 59, 505 (1987).

[c16] J. N. Bahcall, Phys. Rev. D 44, 1644 (1991).

[c17] S. M. Bilenky and S. T. Petcov, Rev. Mod. Phys. 59, 671 (1987).

[c18] T. K. Kuo and J. Pantaleone, Rev. Mod. Phys. 61, 937 (1989).

[c19] B. Pietrzyk, in Electroweak Interactions and Unified Theories, Proceedings of the 29th Rencontre de Moriond, Meribel les Allues, France (Editions Frontieres, Gif sur Yvette, 1994). This talk reports the global average sinsup 2 ${theta}_{eff}^{lept}$ = 0.2320 pm 0. $0003_{- 0.0002}$ ${}^{+ 0.0001}$ , where the central value is for $m_{H}$ =300 GeV, and the extreme values are for $M_{H}$ =1 TeV, 60 GeV. The value for sinsup 2 hat theta $_{W}$ ( $m_{Z}$ ) is obtained from the effective parameter sinsup 2 ${theta}_{eff}^{lept}$ by applying the correction discussed in cite24.

[c20] W. J. Marciano, in Spin Structure in High Energy Processes, Proceedings of the 21st SLAC Summer Institute, Stanford, California, 1993 (SLAC, Stanford, 1993).

[c21] S. Sarantakos, A. Sirlin and W. Marciano, Nucl. Phys. B217, 84 (1983).

[c22] M. Ram, Phys. Rev. 155, 1539 (1967).

[c23] L. Lewin, Dilogarithms and Associated Functions (MacDonald, London, 1948).

[c24] P. Gambino and A. Sirlin, Phys. Rev. D 49, R1160 (1994).

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Solar neutrinos: Radiative corrections in neutrino-electron scattering experiments

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