Renormalizable Symmetry Model of Weak Interactions

Robert E. Pugh

doi:10.1103/PhysRevD.5.474

Access by Xinjiang University

Renormalizable Symmetry Model of Weak Interactions

Robert E. Pugh

Physics Department, University of Toronto, Toronto, Canada

PDF

Phys. Rev. D 5, 474 – Published 15 January, 1972

DOI: https://doi.org/10.1103/PhysRevD.5.474

Abstract

A renormalizable model of weak interactions is presented. The leptons and the SU(3) quarks are classified in an SU(4) × SU(2) symmetry scheme in which the quantum numbers are charge, baryon number, lepton number, and weakness - a quantum number that replaces the usual second lepton number. The coupling of a sextet of spinless bosons to the leptons and hadrons gives a theory of weak interactions that has universality, the correct selection rules, renormalizability, conserved vector current, and $V - A$ in the local limit. Elastic $e ν_{μ}$ scattering is predicted. The intermediate scalar boson leads to $μ e$ and $ee$ pairs in the conventional high-energy neutrino experiments but no $μ μ$ pairs are predicted. Some neutral-current effects are expected and these are consistent with present data.

Comments & Replies

Comment on a Quark Model of the Weak Interaction

R. L. Penner

Phys. Rev. D 6, 2059 (1972)

References (37)

Y. Tanikawa, Phys. Rev. 108, 1615 (1957) Y. Tanikawa and S. Watanabe, ibid. 113, 1344 (1959) Y. Tanikawa and S. Nakamura, Progr. Theoret. Phys. (Kyoto) Suppl. 37-38, 306 (1966)
W. Kummer and G. Segrè, Nucl. Phys. 64, 585 (1965) N. Christ, Phys. Rev. 176, 2086 (1968) L. Banyai and V. Rittenberg, Nuovo Cimento 45A, 219 (1966)
R. P. Feynman and M. Gell-Mann, Phys. Rev. 109, 193 (1958) E. C. G. Sudarshan and R. E. Marshak, ibid. 109, 1860 (1958)
M. Fierz, Z. Physik 104, 553 (1937)
M. Gell-Mann, M. L. Goldberger, N. M. Kroll, and F. E. Low, Phys. Rev. 179, 1518 (1969)
E. A. Lord, Nuovo Cimento 68, 184 (1970)
M. Gell-Mann, California Institute of Technology Synchrotron Laboratory Report No. CTSL-20, 1961 (unpublished)
Y. Ne'eman, Nucl. Phys. 26, 222 (1961)
M. Gell-Mann, Phys. Rev. 125, 1067 (1962)
M. Gell-Mann, Phys. Letters 8, 214 (1964)
B. J. Bjorken and S. L. Glashow, Phys. Letters 11, 255 (1964)
Y. Hara, Phys. Rev. 134, B701 (1964)
S. L. Glashow, J. Iliopoulos, and L. Maiani, Phys. Rev. D 2, 1285 (1970)
[11–13] P. Tarjanne and V. L. Teplitz, Phys. Rev. Letters 11, 447 (1963) Z. Maki, Progr. Theoret. Phys. (Kyoto) 31, 331 (1964) D. Amati, H. Bacry, J. Nuyts, and J. Prentki, Phys. Letters 11, 190 (1964) I. S. Gerstein and M. L. Whippman, Phys. Rev. 136, B829 (1964) J. W. Moffat, ibid. 140, B168 (1965)
R. E. Marshak, Riazuddin, and C. P. Ryan, Theory of Weak Interactions in Particle Physics (Wiley, New York, 1969) J. Konopinski and H. Mahmoud, Phys. Rev. 99, 1065 (1953) K. Nishijima, ibid. 108, 907 (1957) J. Schwinger, Ann. Phys. (N.Y.) 2, 407 (1957) E. M. Lipmanov, Zh. Eksperim. i Teor. Fiz. 37, 1054 (1959) [Soviet Phys. JETP 10, 750 (1960)]
S. Bennett, D. Nygren, H. Saal, J. Sunderland, J. Steinberger, and K. Kleinknecht, Phys. Letters 27B, 244 (1968)
F. Reines and H. S. Gurr [Phys. Rev. Letters 24, 1448 (1970)]
Omitted endnote
N. Cabibbo, Phys. Rev. Letters 10, 531 (1963)
H. J. Steiner, Phys. Rev. Letters 24, 746 (1970)
D. C. Cundy, G. Myatt, F. A. Nezrick, J. B. M. Pattison, D. H. Perkins, C. A. Ramm, W. Venus, and H. W. Wachsmuth, Phys. Letters 31B, 478 (1970)
C. H. Albright [Phys. Rev. D 2, 1330 (1970)]
R. B. Stothers, Phys. Rev. Letters 24, 538 (1970)
M. M. Block, H. Burmeister, D. C. Cundy, B. Eiben, C. Fronzinetti, J. Keren, R. Mollerud, G. Myatt, M. Nikolic, A. Orkin-Lecourtois, M. Paty, D. H. Perkins, C. A. Ramm, K. Schultze, H. Sletten, K. Soop, R. Stump, W. Venus, and H. Yoshiki, Phys. Letters 12, 281 (1964)
G. Bernardini, J. K. Bienlein, G. Von Dardel, H. Faissner, F. Ferrero, J. M. Goillard, H. J. Gerberg, B. Hohn, V. Kaftonov, F. Frienen, C. Manfredotti, M. Reinharz, and R. A. Salmeron, Phys. Letters 13, 86 (1964)
R. Burns, K. Goulianos, E. Hyman, L. Lederman, W. Lee, N. Mistry, J. Rettberg, M. Schwartz, J. Sunderland, and G. Danby, Phys. Rev. Letters 15, 42 (1965)
R. Penner (private communication)
H. Ebenhoh, F. Eisele, H. Filthuth, W. Fohlisch, V. Hepp, E. Leitner, W. Presser, H. Schneider, T. Thouw, and G. Zech, in Proceedings of the Fifteenth International Conference on High Energy Physics, Kiev, U.S.S.R., 1970(Atomizdat, Moscow, 1971) F. Eisele, R. Engelmann, H. Filthuth, W. Fohlisch, V. Hepp, E. Leitner, W. Presser, H. Schneider, and G. Zech, Z. Physik 225, 383 (1969)
K. H. Althoff, R. M. Brown, D. Freytag, K. S. Heard, J. Heintze, R. Mundhenke, H. Rieseberg, V. Soergel, H. Stelzer, and A. Wagner, in Proceedings of the Fifteenth International Conference on High Energy Physics, Kiev, U.S.S.R., 1970 (Atomizdat, Moscow, 1971)
J. Lindquist, R. L. Sumner, J. M. Watson, R. Winston, D. M. Wolfe, P. R. Phillips, E. C. Swallow, K. Reibel, D. M. Schwartz, A. J. Stevens, and T. A. Romanowski, Phys. Rev. Letters 27, 612 (1971)
R. J. Oakes, Phys. Rev. Letters 20, 1534 (1968) Phys. Rev. 183, 1520 (1969)
[13]
[15]
B. L. Ioffe, in Proceedings of the International Conference on Particles and Fields, University of Rochester, New York, 1966, edited by C. R. Hagen (Interscience, New York, 1967) B. L. Ioffe and E. P. Shabalin, Yadern. Fiz. 6, 828 (1957) [Soviet J. Nucl. Phys. 6, 603 (1968)]
R. N. Mohapatra, J. Subba Rao, and R. E. Marshak, Phys. Rev. Letters 20, 19 (1968) Phys. Rev. 171, 1502 (1968)
Alan R. Clark, T. Elioff, R. C. Field, H. J. Frisch, Rolland P. Johnson, Leroy T. Kerth, and W. A. Wenzel, Phys. Rev. Letters 26, 1667 (1971)
[15]

[c1] Y. Tanikawa, Phys. Rev. 108, 1615 (1957) Y. Tanikawa and S. Watanabe, ibid. 113, 1344 (1959) Y. Tanikawa and S. Nakamura, Progr. Theoret. Phys. (Kyoto) Suppl. 37-38, 306 (1966)

[c2] W. Kummer and G. Segrè, Nucl. Phys. 64, 585 (1965) N. Christ, Phys. Rev. 176, 2086 (1968) L. Banyai and V. Rittenberg, Nuovo Cimento 45A, 219 (1966)

[c3] R. P. Feynman and M. Gell-Mann, Phys. Rev. 109, 193 (1958) E. C. G. Sudarshan and R. E. Marshak, ibid. 109, 1860 (1958)

[c4] M. Fierz, Z. Physik 104, 553 (1937)

[c5] M. Gell-Mann, M. L. Goldberger, N. M. Kroll, and F. E. Low, Phys. Rev. 179, 1518 (1969)

[c6] E. A. Lord, Nuovo Cimento 68, 184 (1970)

[c7] M. Gell-Mann, California Institute of Technology Synchrotron Laboratory Report No. CTSL-20, 1961 (unpublished)

[c8] Y. Ne'eman, Nucl. Phys. 26, 222 (1961)

[c9] M. Gell-Mann, Phys. Rev. 125, 1067 (1962)

[c10] M. Gell-Mann, Phys. Letters 8, 214 (1964)

[c11] B. J. Bjorken and S. L. Glashow, Phys. Letters 11, 255 (1964)

[c12] Y. Hara, Phys. Rev. 134, B701 (1964)

[c13] S. L. Glashow, J. Iliopoulos, and L. Maiani, Phys. Rev. D 2, 1285 (1970)

[c14] [11–13] P. Tarjanne and V. L. Teplitz, Phys. Rev. Letters 11, 447 (1963) Z. Maki, Progr. Theoret. Phys. (Kyoto) 31, 331 (1964) D. Amati, H. Bacry, J. Nuyts, and J. Prentki, Phys. Letters 11, 190 (1964) I. S. Gerstein and M. L. Whippman, Phys. Rev. 136, B829 (1964) J. W. Moffat, ibid. 140, B168 (1965)

[c15] R. E. Marshak, Riazuddin, and C. P. Ryan, Theory of Weak Interactions in Particle Physics (Wiley, New York, 1969) J. Konopinski and H. Mahmoud, Phys. Rev. 99, 1065 (1953) K. Nishijima, ibid. 108, 907 (1957) J. Schwinger, Ann. Phys. (N.Y.) 2, 407 (1957) E. M. Lipmanov, Zh. Eksperim. i Teor. Fiz. 37, 1054 (1959) [Soviet Phys. JETP 10, 750 (1960)]

[c16] S. Bennett, D. Nygren, H. Saal, J. Sunderland, J. Steinberger, and K. Kleinknecht, Phys. Letters 27B, 244 (1968)

[c17] F. Reines and H. S. Gurr [Phys. Rev. Letters 24, 1448 (1970)]

[c18] Omitted endnote

[c19] N. Cabibbo, Phys. Rev. Letters 10, 531 (1963)

[c20] H. J. Steiner, Phys. Rev. Letters 24, 746 (1970)

[c21] D. C. Cundy, G. Myatt, F. A. Nezrick, J. B. M. Pattison, D. H. Perkins, C. A. Ramm, W. Venus, and H. W. Wachsmuth, Phys. Letters 31B, 478 (1970)

[c22] C. H. Albright [Phys. Rev. D 2, 1330 (1970)]

[c23] R. B. Stothers, Phys. Rev. Letters 24, 538 (1970)

[c24] M. M. Block, H. Burmeister, D. C. Cundy, B. Eiben, C. Fronzinetti, J. Keren, R. Mollerud, G. Myatt, M. Nikolic, A. Orkin-Lecourtois, M. Paty, D. H. Perkins, C. A. Ramm, K. Schultze, H. Sletten, K. Soop, R. Stump, W. Venus, and H. Yoshiki, Phys. Letters 12, 281 (1964)

[c25] G. Bernardini, J. K. Bienlein, G. Von Dardel, H. Faissner, F. Ferrero, J. M. Goillard, H. J. Gerberg, B. Hohn, V. Kaftonov, F. Frienen, C. Manfredotti, M. Reinharz, and R. A. Salmeron, Phys. Letters 13, 86 (1964)

[c26] R. Burns, K. Goulianos, E. Hyman, L. Lederman, W. Lee, N. Mistry, J. Rettberg, M. Schwartz, J. Sunderland, and G. Danby, Phys. Rev. Letters 15, 42 (1965)

[c27] R. Penner (private communication)

[c28] H. Ebenhoh, F. Eisele, H. Filthuth, W. Fohlisch, V. Hepp, E. Leitner, W. Presser, H. Schneider, T. Thouw, and G. Zech, in Proceedings of the Fifteenth International Conference on High Energy Physics, Kiev, U.S.S.R., 1970(Atomizdat, Moscow, 1971) F. Eisele, R. Engelmann, H. Filthuth, W. Fohlisch, V. Hepp, E. Leitner, W. Presser, H. Schneider, and G. Zech, Z. Physik 225, 383 (1969)

[c29] K. H. Althoff, R. M. Brown, D. Freytag, K. S. Heard, J. Heintze, R. Mundhenke, H. Rieseberg, V. Soergel, H. Stelzer, and A. Wagner, in Proceedings of the Fifteenth International Conference on High Energy Physics, Kiev, U.S.S.R., 1970 (Atomizdat, Moscow, 1971)

[c30] J. Lindquist, R. L. Sumner, J. M. Watson, R. Winston, D. M. Wolfe, P. R. Phillips, E. C. Swallow, K. Reibel, D. M. Schwartz, A. J. Stevens, and T. A. Romanowski, Phys. Rev. Letters 27, 612 (1971)

[c31] R. J. Oakes, Phys. Rev. Letters 20, 1534 (1968) Phys. Rev. 183, 1520 (1969)

[c32] [13]

[c33] [15]

[c34] B. L. Ioffe, in Proceedings of the International Conference on Particles and Fields, University of Rochester, New York, 1966, edited by C. R. Hagen (Interscience, New York, 1967) B. L. Ioffe and E. P. Shabalin, Yadern. Fiz. 6, 828 (1957) [Soviet J. Nucl. Phys. 6, 603 (1968)]

[c35] R. N. Mohapatra, J. Subba Rao, and R. E. Marshak, Phys. Rev. Letters 20, 19 (1968) Phys. Rev. 171, 1502 (1968)

[c36] Alan R. Clark, T. Elioff, R. C. Field, H. J. Frisch, Rolland P. Johnson, Leroy T. Kerth, and W. A. Wenzel, Phys. Rev. Letters 26, 1667 (1971)

[c37] [15]

Physical Review D

Export citation

Export citation

Renormalizable Symmetry Model of Weak Interactions

Abstract

Comments & Replies

Comment on a Quark Model of the Weak Interaction

References (37)

Outline

Information

Filter

Filter

Article Lookup

Enter a citation