Abstract
The standard low energy electroweak and strong interaction gauge group SU(3)C x SU(2)L x U(1)Y, broken spontaneously by a Higgs doublet, has been highly successful in the low energy region (≤ 100 GeV) [1]. On the other hand, the SU(5) gauge group, the lowest rank simple group containing SU(3)C x SU(2)L x U(1)Y, appears to be in serious trouble [2]. The failure to observe proton decay at the level predicted by SU(5) GUT throw doubt on the existence of the “great desert” between 102GeV and 1015GeV and leaves room for intermediate mass scales of various types. Within this context, and for other reasons (see below), I wish to point out in this talk some attractive features of those groups that have B-L as a generator (and which I call B-L gauge groups).
Some new results have been included since the talk was given at Erice
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References
C. Rubbia (report at Singapore Conference, June 1983) has given the following numbers from the UA(1) experiment: M(WL) = 81 + 2 GeV; M(Z0) = 95.2 + 2.5 GeV, 1(Z0) S 4.1 GeV.
The (evaluated running time of the IMB experiment as of June 1983 is 130 days without a single p decay event, yielding a minimum lifetime of 10 32 years. (M. Goldhaber-private communication).
G. ’t Hooft, Phys. Rev. Lett. 37, 8 (1976).
E. C. G. Sudarshan and I used mv = 0 and the implied γ5 invariance to motivate our original derivation of the V-A interaction [see E. C. G. Sudarshan and R. E. Marshak, Proc. Padua-Venice Conf. on Mesons and Newly Discovered Particles (1957), reprinted in P. K. Kabir, Development of Weak Interaction Theory (Gordon and Breach, 1963), pp. 118-128.] However, for the reasons given in the text, this assumption may have to be modified slightly and a small mass assigned to the neutrino.
J. C. Pati and A. Salam, Phys. Rev. D10, 275 (1974);
R. N. Mohapatra and J. C. Pati, Phys. Rev. D11, 566 (1975);
G. Senjanovic and R. N. Mohapatra, ibid 12, 1502 (1975).
A. Gamba, R. E. Marshak and S. Okubo, Proc. Nat. Acad. of Sci. 45, 881 (1959); at the 1959 Kiev Conference, I suggested that a second (muon) neutrino would require another basic constituent p? (having the same charge as the proton) (See Proc. of Ninth Conf. on High Energy Phys., Acad, of Sci., Moscow 1960, Vol. II, p. 269). Cf.
J. D. Bjorken and S. L. Glashow, Phys. Lett. 11, 255 (1964).
S. Sakata, Prog. Theor. Phys. 16, 686 (1956).
R. E. Marshak and R. N. Mohapatra, Phys. Lett. 91B, 222 (1980).
T. D. Lee and C. N. Yang [Phys. Rev. 104, 254 (1956)] have shown the Eotvos experiment requires B-L local symmetry to be broken.
A. Davidson, Phys. Rev. D20, 776 (1979); this paper contains an independent derivation of B-L as the fourth color; cf. V. Barger, W. Keung and E. Ma, Phys. Rev. Lett. 44, 1169 (1980).
R. N. Mohapatra and R. E. Marshak, Phys. Rev. Lett. 44, 1316 (1980); see also V. A. Kuz’min, JETP Lett. 12, 228 (1970) and S. L. Glashow, Recent Developments in Gauge Theory, Plenum 1980 ).
R. N. Mohapatra and G. Senjanovic, Phys. Rev. Lett. 44 912 (1980); see also M. Gell-Mann, P. Ramond and R. Slansky (unpublished) and E. Witten, Phys. Lett. B91, 81 (1980).
R. N. Mohapatra and G. Senjanovic, Fermilab 80/61 THY (1980).
Cf. T. Rizzo and G. Senjanovic, Phys. Rev. D24, 704 (1981); ibid D25, 235 (1982).
These calculations have been done by P. Wang (VPI); cf. also W. Hollik, Z. Phys. C8, 149 (1981).
Cf. H. Fritsch and P. Minkowski, Phys. Reports 73, 126 (1981).
Riazuddin, R. E. Marshak and R. N. Mohapatra, Phys. Rev. D24, 1310 (1981).
See fn. 15 of ref. 11.
Cf. R. N. Mohapatra and G. Senjanovic, Phys. Rev. D27, 1601 (1983) and earlier work by the same authors.
D. Lüst, Univ. of Munich preprint (1983); see also Univ. of Munich Thesis (1982).
Y. Tosa, G. Branco and R. E. Marshak (to be published in Phys. Rev. D).
Y. Tosa, S. Okubo and R. E. Marshak, Phys. Rev. D27, 444 (1983).
Y. Tosa and R. E. Marshak, Phys. Rev. D26, 303 (1982).
Y. Tosa and R. E. Marshak, Phys. Rev. D27, 616 (1983).
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© 1985 Plenum Press, New York
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Marshak, R.E. (1985). B-L Gauge Models. In: Newman, H.B. (eds) Electroweak Effects at High Energies. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-2451-5_34
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