<span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>ν</mi></math></span>- and <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mrow><mover><mrow><mi>ν</mi></mrow><mrow><mi>¯</mi></mrow></mover></mrow></mrow></math></span>-induced neutral-current processes and SU(2) × U(1) gauge models of quarks

T. Hagiwara; E. Takasugi

doi:10.1103/PhysRevD.15.3232

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$ν$ - and $\bar{ν}$ -induced neutral-current processes and SU(2) × U(1) gauge models of quarks

T. Hagiwara^*

E. Takasugi^†

The Rockefeller University, New York, New York 10021

Ohio State University, Columbus, Ohio 43210

^*Work supported in part by the U. S. Energy Research and Development Administration under Contract No. EY_76_C_02_2232B. *000.
^†Work supported in part by the U. S. Energy Research and Development Administration under Contract No. EY_76_C_02_1545. *000.

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Phys. Rev. D 15, 3232 – Published 1 June, 1977

DOI: https://doi.org/10.1103/PhysRevD.15.3232

Abstract

By examining both $ν$ - and $\bar{ν}$ -induced neutral-current inclusive processes on an isoscalar target and elastic scattering processes on a proton target, we derive two constraints on the fermionic representation in SU(2) × U(1) gauge models. There are five classes of models that are consistent with these constraints. For each class the upper bound of ${{sin}^{2} θ}_{W}$ is determined. We also list models for each class with a minimum number of quarks. For these models we analyze the data of $ν p$ and $\bar{ν} p$ elastic scattering processes. We also examine both $ν$ - and $\bar{ν}$ -induced charged- and neutral-current inclusive processes on a proton target.

References (23)

R. M. Barnett, Phys. Rev. D 14, 2990 (1976) V. Barger and D. V. Nanopoulos, Wisconsin Report No. COO_562 (unpublished) C. Albright et al., Phys. Rev. D 14, 1780 (1976) D. Sidhu, 14, 2235 (1976)
P. Q. Hung and J. J. Sakurai, Phys. Lett. 63B, 295 (1976) J. J Sakurai, Report No. UCLA/76/TEP/21 (unpublished)
E. S. Abers and B. W. Lee, Phys. Rep. C9, 1 (1973) S. Weinberg, Rev. Mod. Phys. 46, 255 (1974) M. A. B. Bég and A. Sirlin, Annu. Rev. Nucl. Sci. 24, 379 (1974) A. de Rújula et al., Rev. Mod. Phys. 46, 391 (1974) C. Albright, Phys. Rev. D 8, 3162 (1973)
F. J. Hasert et al., Phys. Lett. 46B, 121 (1973) J. Blietschau et al., Nucl. Phys. B114, 189 (1976) F. Reines et al., Phys. Rev. Lett. 37, 315 (1976)
W. von Donink, in a talk given at the Aachen Neutrino Conference, Aachen, 1976 (unpublished) P. Wanderer, in Proceedings of the International Conference on Production of Particles with New Quantum Numbers, Madison, 1976, edited by D. B. Cline and J. J. Kolonko (Univ. of Wisconsin, Madison, 1976), p. 104 L. Stutte, Proceedings of the International Conference on Production of Particles with New Quantum Numbers, Madison, 1976Univ. of Wisconsin, Madison1976, p. 388
D. Cline et al., Phys. Rev. Lett. 37, 252 (1976) ibid.37, 648 (1976) K. Goulianos, in a talk given at XI Rencontre de Moriond, France, 1976 (unpublished) W. Lee et al., Phys. Rev. Lett. 37, 186 (1976)
A. Pais and S. Treiman, Phys. Rev. D 6, 2700 (1972) ibid.9, 1459 (1974) [3]
T. Hagiwara and E. Takasugi, Phys. Rev. D 15, 89 (1977)
J. J. Sakurai, CERN Report No. 2099 (unpublished)
M. A. Bouchiat and C. Bouchiat, Phys. Lett. 48B, 111 (1974) M. A. Bouchiat and L. Pottier, ibid. 62B, 327 (1976)
J. D. Bjorken and S. L. Glashow, Phys. Lett. 11, 255 (1964) S. L. Glashow, J. Ilipoulos, and L. Maiani, Phys. Rev. D 2, 1285 (1970)
R. P. Feynman, Hadron-Photon Interactions (Benjamin, New York, 1972) D. H. Perkins, in Proceedings of the XVI International Conference on High Energy Physics, Chicago-Batavia, Ill., 1972, edited by J. D. Jackson and A. Roberts (NAL, Batavia, Ill., 1973), Vol. 4, p. 189
H. Georgi and H. D. Politzer, Phys. Rev. Lett. 36, 1281 (1976)
A. Pais, Ann. Phys. (N.Y.) 63, 361 (1971) C. H. Llewellyn Smith, Phys. Rep. C3, 261 (1972)
A. Benvenuti et al., Phys. Rev. Lett. 36, 1478 (1976) ibid.37, 189 (1976)
S. Gasiorowicz, Elementary Particle Physics (Wiley, New York, 1966), p. 433 J. R. Dunning et al., Phys. Rev. 141, 1286 (1966) L. L. Foldy, Rev. Mod. Phys. 30, 471 (1958)
S. Adler et al., Phys. Rev. D 11, 3309 (1975)
E. Golowich and B. Holstein, Phys. Rev. Lett. 35, 831 (1975)
R. M. Barnett, Phys. Rev. Lett. 36, 1163 (1976) Y. Achiman et al., Phys. Lett. B59, 261 (1975) V. Barger et al., Phys. Rev. D 14, 1276 (1976) C. H. Albright and R. E. Shrock, Fermilab Report No. FNAL-Conf. 76/50-THY (unpublished) R. M. Barnett et al., Phys. Rev. Lett. 37, 1313 (1976)
Omitted endnote
S. Adler, in Lectures on Elementary Particles and Quantum Field Theory, edited by S. Deser (MIT, Massachusetts, 1970) D. Gross and R. Jackiw, Phys. Rev. D 6, 477 (1972) M. Machacek and Y. Tomozawa, ibid. 13, 1462 (1976)
M. L. Perl et al., Phys. Rev. Lett. 35, 1489 (1975)
R. McElbany and S. F. Tuan, Phys. Rev. D 8, 2267 (1973)

[c1] R. M. Barnett, Phys. Rev. D 14, 2990 (1976) V. Barger and D. V. Nanopoulos, Wisconsin Report No. COO_562 (unpublished) C. Albright et al., Phys. Rev. D 14, 1780 (1976) D. Sidhu, 14, 2235 (1976)

[c2] P. Q. Hung and J. J. Sakurai, Phys. Lett. 63B, 295 (1976) J. J Sakurai, Report No. UCLA/76/TEP/21 (unpublished)

[c3] E. S. Abers and B. W. Lee, Phys. Rep. C9, 1 (1973) S. Weinberg, Rev. Mod. Phys. 46, 255 (1974) M. A. B. Bég and A. Sirlin, Annu. Rev. Nucl. Sci. 24, 379 (1974) A. de Rújula et al., Rev. Mod. Phys. 46, 391 (1974) C. Albright, Phys. Rev. D 8, 3162 (1973)

[c4] F. J. Hasert et al., Phys. Lett. 46B, 121 (1973) J. Blietschau et al., Nucl. Phys. B114, 189 (1976) F. Reines et al., Phys. Rev. Lett. 37, 315 (1976)

[c5] W. von Donink, in a talk given at the Aachen Neutrino Conference, Aachen, 1976 (unpublished) P. Wanderer, in Proceedings of the International Conference on Production of Particles with New Quantum Numbers, Madison, 1976, edited by D. B. Cline and J. J. Kolonko (Univ. of Wisconsin, Madison, 1976), p. 104 L. Stutte, Proceedings of the International Conference on Production of Particles with New Quantum Numbers, Madison, 1976Univ. of Wisconsin, Madison1976, p. 388

[c6] D. Cline et al., Phys. Rev. Lett. 37, 252 (1976) ibid.37, 648 (1976) K. Goulianos, in a talk given at XI Rencontre de Moriond, France, 1976 (unpublished) W. Lee et al., Phys. Rev. Lett. 37, 186 (1976)

[c7] A. Pais and S. Treiman, Phys. Rev. D 6, 2700 (1972) ibid.9, 1459 (1974) [3]

[c8] T. Hagiwara and E. Takasugi, Phys. Rev. D 15, 89 (1977)

[c9] J. J. Sakurai, CERN Report No. 2099 (unpublished)

[c10] M. A. Bouchiat and C. Bouchiat, Phys. Lett. 48B, 111 (1974) M. A. Bouchiat and L. Pottier, ibid. 62B, 327 (1976)

[c11] J. D. Bjorken and S. L. Glashow, Phys. Lett. 11, 255 (1964) S. L. Glashow, J. Ilipoulos, and L. Maiani, Phys. Rev. D 2, 1285 (1970)

[c12] R. P. Feynman, Hadron-Photon Interactions (Benjamin, New York, 1972) D. H. Perkins, in Proceedings of the XVI International Conference on High Energy Physics, Chicago-Batavia, Ill., 1972, edited by J. D. Jackson and A. Roberts (NAL, Batavia, Ill., 1973), Vol. 4, p. 189

[c13] H. Georgi and H. D. Politzer, Phys. Rev. Lett. 36, 1281 (1976)

[c14] A. Pais, Ann. Phys. (N.Y.) 63, 361 (1971) C. H. Llewellyn Smith, Phys. Rep. C3, 261 (1972)

[c15] A. Benvenuti et al., Phys. Rev. Lett. 36, 1478 (1976) ibid.37, 189 (1976)

[c16] S. Gasiorowicz, Elementary Particle Physics (Wiley, New York, 1966), p. 433 J. R. Dunning et al., Phys. Rev. 141, 1286 (1966) L. L. Foldy, Rev. Mod. Phys. 30, 471 (1958)

[c17] S. Adler et al., Phys. Rev. D 11, 3309 (1975)

[c18] E. Golowich and B. Holstein, Phys. Rev. Lett. 35, 831 (1975)

[c19] R. M. Barnett, Phys. Rev. Lett. 36, 1163 (1976) Y. Achiman et al., Phys. Lett. B59, 261 (1975) V. Barger et al., Phys. Rev. D 14, 1276 (1976) C. H. Albright and R. E. Shrock, Fermilab Report No. FNAL-Conf. 76/50-THY (unpublished) R. M. Barnett et al., Phys. Rev. Lett. 37, 1313 (1976)

[c20] Omitted endnote

[c21] S. Adler, in Lectures on Elementary Particles and Quantum Field Theory, edited by S. Deser (MIT, Massachusetts, 1970) D. Gross and R. Jackiw, Phys. Rev. D 6, 477 (1972) M. Machacek and Y. Tomozawa, ibid. 13, 1462 (1976)

[c22] M. L. Perl et al., Phys. Rev. Lett. 35, 1489 (1975)

[c23] R. McElbany and S. F. Tuan, Phys. Rev. D 8, 2267 (1973)

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$ν$ - and $\bar{ν}$ -induced neutral-current processes and SU(2) × U(1) gauge models of quarks

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ν- and ν¯-induced neutral-current processes and SU(2) × U(1) gauge models of quarks

Abstract

References (23)

$ν$ - and $\bar{ν}$ -induced neutral-current processes and SU(2) × U(1) gauge models of quarks