Reaction <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>ν</mi><mo>+</mo><mi>p</mi><mo>→</mo><mi>ν</mi><mo>+</mo><mrow><msup><mrow><mi>μ</mi></mrow><mrow><mo>+</mo></mrow></msup></mrow><mo>+</mo><mrow><msup><mrow><mi>μ</mi></mrow><mrow><mo>−</mo></mrow></msup></mrow><mo>+</mo><mi>p</mi></math></span> in a Six-Fermion Coupling Theory

J. Smith; N. Stanko

doi:10.1103/PhysRevD.7.927

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Reaction $ν + p \to ν + μ^{+} + μ^{-} + p$ in a Six-Fermion Coupling Theory

J. Smith and N. Stanko^*

The Institute for Theoretical Physics, State University of New York at Stony Brook, Stony Brook, New York 11790

^*Present address: CERN, Geneva, Switzerland.

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Phys. Rev. D 7, 927 – Published 1 February, 1973

DOI: https://doi.org/10.1103/PhysRevD.7.927

Abstract

A theory in which the hypothetical intermediate boson of weak interactions interacts strongly with hadrons becomes a theory with a six-fermion coupling in the limit that the mass of the boson is very large. To facilitate setting an upper limit on such couplings in high-energy neutrino experiments, we give here the theoretical muon spectra for the reaction $ν + p \to ν + μ^{+} + μ^{-} + p$ calculated for a typical six-fermion interaction. A comparison is also made with the muon spectra predicted from $V - A$ theory, and a rough upper limit on the coupling constant is made using data from the CERN neutrino experiment.

References (13)

H. Bergeson, J. Keuffel, M. Larson, E. Martin, and G. Mason, Phys. Rev. Letters 19, 1487 (1967) H. Bergeson, G. L. Bolingbroke, G. Carlson, D. E. Groom, J. W. Keuffel, J. L. Morrison, and J. L. Osborne, ibid. 27, 160 (1971)
J. D. Bjorken, S. Pakvasa, W. Simmons, and S. F. Tuan, Phys. Rev. 184, 1345 (1969) P. V. Ramana Murthy, Phys. Letters 28B, 38 (1968) J. B. Kogut, Phys. Rev. 186, 1540 (1969) C. H. Woo, Phys. Rev. Letters 21, 1419 (1968)
T. Ericson and S. L. Glashow, Phys. Rev. 133, B130 (1964)
G. Feinberg, Phys. Rev. 134, B1295 (1964) S. V. Pepper, C. Ryan, S. Okubo, and R. E. Marshak, ibid. 137, B1259 (1965) C. G. Callan, Jr., Phys. Rev. Letters 20, 809 (1968)
E. W. Beier, D. Cline, A. K. Mann, J. Pilcher, D. D. Reeder, and C. Rubbia (private communication from A. K. Mann)
S. Weinberg, Phys. Rev. Letters 27, 1688 (1971) ibid.19, 1264 (1967)
T. Appelquist and T. Goldman, Phys. Rev. D 6, 2048 (1972)
P. K. Kabir and A. N. Kamal, Lett. Nuovo Cimento 1, 1 (1971)
R. W. Brown, R. H. Hobbs, J. Smith, and N. Stanko, Phys. Rev. D 6, 3273 (1972)
K. Fujikawa, Ann. Phys. (N.Y.) 68, 102 (1971) (to be published)
J. Løvseth and M. Radomski, Phys. Rev. D 3, 3686 (1971)
R. W. Brown and J. Smith, Phys. Rev. D 3, 207 (1971) R. W. Brown, R. H. Hobbs, and J. Smith, ibid. 4, 794 (1971)
V. S. Kaftanov, V. D. Khovansky, and M. A. Kubantsev, Phys. Letters 40B, 215 (1972)

[c1] H. Bergeson, J. Keuffel, M. Larson, E. Martin, and G. Mason, Phys. Rev. Letters 19, 1487 (1967) H. Bergeson, G. L. Bolingbroke, G. Carlson, D. E. Groom, J. W. Keuffel, J. L. Morrison, and J. L. Osborne, ibid. 27, 160 (1971)

[c2] J. D. Bjorken, S. Pakvasa, W. Simmons, and S. F. Tuan, Phys. Rev. 184, 1345 (1969) P. V. Ramana Murthy, Phys. Letters 28B, 38 (1968) J. B. Kogut, Phys. Rev. 186, 1540 (1969) C. H. Woo, Phys. Rev. Letters 21, 1419 (1968)

[c3] T. Ericson and S. L. Glashow, Phys. Rev. 133, B130 (1964)

[c4] G. Feinberg, Phys. Rev. 134, B1295 (1964) S. V. Pepper, C. Ryan, S. Okubo, and R. E. Marshak, ibid. 137, B1259 (1965) C. G. Callan, Jr., Phys. Rev. Letters 20, 809 (1968)

[c5] E. W. Beier, D. Cline, A. K. Mann, J. Pilcher, D. D. Reeder, and C. Rubbia (private communication from A. K. Mann)

[c6] S. Weinberg, Phys. Rev. Letters 27, 1688 (1971) ibid.19, 1264 (1967)

[c7] T. Appelquist and T. Goldman, Phys. Rev. D 6, 2048 (1972)

[c8] P. K. Kabir and A. N. Kamal, Lett. Nuovo Cimento 1, 1 (1971)

[c9] R. W. Brown, R. H. Hobbs, J. Smith, and N. Stanko, Phys. Rev. D 6, 3273 (1972)

[c10] K. Fujikawa, Ann. Phys. (N.Y.) 68, 102 (1971) (to be published)

[c11] J. Løvseth and M. Radomski, Phys. Rev. D 3, 3686 (1971)

[c12] R. W. Brown and J. Smith, Phys. Rev. D 3, 207 (1971) R. W. Brown, R. H. Hobbs, and J. Smith, ibid. 4, 794 (1971)

[c13] V. S. Kaftanov, V. D. Khovansky, and M. A. Kubantsev, Phys. Letters 40B, 215 (1972)

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Reaction $ν + p \to ν + μ^{+} + μ^{-} + p$ in a Six-Fermion Coupling Theory

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Reaction ν+p→ν+μ++μ−+p in a Six-Fermion Coupling Theory

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Reaction $ν + p \to ν + μ^{+} + μ^{-} + p$ in a Six-Fermion Coupling Theory