Abstract
The existence of multiple, seemingly redundant, generations of fundamental particles is one of the major puzzles facing particle physicists. There are at least three lepton generations or flavours, as depicted in Table I, which have in common a set of remarkable features. These include:
-
1)
identical electromagnetic interactions, as evidenced by the spectacular agreement of experiments and theory on the values for electron and muon g-2,1
-
2)
identical weak interactions embodied in tests of electronmuon universality in the branching ratio of π→eν/π→μν,
-
3)
absence of strong interactions,
-
4)
symmetry in the generation structure with the quark sector as required for the cancellation of anomalies,2
-
5)
absence of flavour-changing interactions, such as μ →eγ, μ− +nucleus →e− +nucleus, K→μe and τ→μγ, and
-
6)
existence of a conserved additive lepton number for each generation, as evidenced by searches for neutrinoless double-beta decay.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
R. S. Van Dyck, Jr., P. B. Schwinger and H. G. Dehmelt, Phys. Rev. Lett. 38, 310 (1977); J. Bailey et al., CERN-Mainz-Daresbury collaboration, Nucl. Phys. B150, 1 (1979).
C. Bouchiat, J. Iliopoulos and Ph. Meyer, Phys. Lett. 38B, 519 (1972); D. J. Gross and R. Jackiw, Phys. Rev. D6, 477 (1972).
S. Weinberg, Phys. Rev. Lett. 19, 1264 (1967), ibid. 27, 1688 (1971); A. Salam, in Elementary Particle Theory: Relativis-tic Groups and Analyticity (Nobel Sjnnposium No. 8), ed. N. Svartholm ( Wiley, New York, 1969 ).
S. Weinberg, Phys. Rev. Lett. 36, 291 (1976); M. Veltman, Phys. Rev. 70B, 253 (1977).
R. Gatto and G. Sartori, Phys. Lett. 67B, 467 (1977); C.W. Kim and J. Kim, Phys. Lett. 79B, 278 (1978).
M. Turner, Neutrinos and Cosmology, Proc. of Weak Interactions as Probes of Unification, ed. G. B. Collins et al., AIPCP # ( AIP, New York, 1981 ), p. 335.
A. De Rujula, H. Georgi and S. L. Glashow, Phys. Rev. D 12, 147 (1975),
See R. E. Marshak, Riazuddin and C. P. Ryan, Theory of Weak Interactions in Particle Physics ( Wiley, New York, 1969 ).
S. Berman, Phys. Rev. Lett. 1, 468 (1958).
T. Kinoshita, Phys. Rev. Lett. 2, 477 (1959).
T. Goldman and W. Wilson, Phys. Rev. D15, 709 U977 ).
W. Marciano and S. Sirlin, Phys. Rev. Lett. 36, 1425 (1976).
R. E. Shrock, Phys. Lett. 96B, 159 (1980). See also B. W. Lee and R. E. Shrock, Phys. Rev. Dl6, 1444 (1977); D. Bailin and N. Dombey, Phys. Lett. 64B, 304 (1976).
J. F. Donoghue and L.-F. Li, Phys. Rev. Dl9, 945 (1979). See also B. McWilliams and L.-F. Li, Carnegie-Mellon preprint COO-30660146 (1980).
H. E. Haber, G. L. Kane and T. Sterling, Nucl. Phys. B161, 493 (1979).
T. Fazzini, G. Fidecaro, A. W. Merrison, H. Paul and A. V. Tollestrup, Phys. Rev. Lett. 1, 247 (1958); G. Impeduglia, R. Piano, A. Prodell, N. Samios, M. Schwartz and J. Steinberger, Phys. Rev. Lett, l, 249 (1958).
H. L. Anderson, T. Fujii, R. H. Miller and L. Tau, Phys. Rev. 119, 2050 (1960).
E. Di Capua, R. Garland, L. Pondrom and A. Strellzoff, Phys. Rev. 133, B1333 (1964).
D. Bryman and C. E. Picciotto, Phys. Rev. D11, 1337 (1975).
D. Bryman, M. S. Dixit, R. Dubois, J.-M. Poutissou, A. Olin, B. Olaniyi, D. Berghofer and B.C. Robertson, TRIUMF proposal 52.
T. Harper, T. Inouye and N. C. Rasmussen, GAMANL, A Computer Program Applying Fourier Transforms to the Analysis of Gamma Spectral Data, MIT preprint 3944–2.
K. Heard et al., Phys. Lett. 55B, 327 (1975); J. Heintze et al., Phys. Lett. 60B, 302 (1976).
See S. M. Bilenky and B. Pontecorvo, Phys. Reports 41C, 276 (1978).
R. E. Marshak, Riazuddin and R. N. Mohaptra, TRIUMF report TRI-81-1 (1981).
G. Altarelli, L. Baulieu, N. Cabibbo, L. Mainai and R. Petronzio, Nucl. Phys. B125, 285 (1977).
J. D. Bjorken and S. Weinberg, Phys. Rev. Lett. 38, 622 (1977).
O. Shankar, TRIUMF preprint TRI-PP-80-32 (1980).
A. Badertscher et al.. Nuovo Cimento 401 (1980).
D. Bryman, C. K. Hargrove et al., TRIUMF proposai 104.
D. Bowman, C. M. Hoffman et al., LAMPF proposals 400, 455.
W. Berti et al., SIN Report #3, April 1981.
D. Nygren et al.. Proposai for a PEP Facility based on a time projection chamber.
D. Bryman and C. Picciotto, Rev. Mod. Phys. 50, 11 (1978).
J. D. Vergados, loannina preprint 149 (1980).
H. Primakoff and S. P. Rosen, to be published.
E. Fiorini, CERN/EP/PHYS 78–33.
T. Kirsten, O. A. Schaeffer, E. Norton and R. W. Stoenner, Phys. Rev. Lett. 20, 1300 (1968).
E. W. Hennecke, O. K. Manuel and D. D. Sabu, Phys. Rev. C11, 1378 (1975).
B. Srinivasan et al. Economic Geology 67, 592 (1972).
H. Primakoff and S. P. Rosen, Phys. Rev. 184, 1925 (1969).
J. D. Vergados, Phys. Rev. C13, 865 (1976).
W. C. Haxton, G. J. Stephenson and D. Strottman, Phys. Rev. Lett. 47, 153 (1981).
S. P. Rosen, Purdue University preprint (1981).
M. Doi et al., Osaka preprints OS-GE-80-27, 81-28, 81-29.
B. T. Cleveland, W. R. Leo, C. S. Wu, L. R. Kasday, A. M. Rushton, P. J. Gollon and J. D. Ullman, Phys. Rev. Lett. 35, 757 (1975).
Yu. G. Zdesenko, JETP Lett. 32, 58 (1980).
M. K. Moe and D. D. Lowenthal, Phys. Rev. C22, 2186 (1980).
V. A. Lubimov, E. G. Novikov, V. Z. Nozik, E. F. Tretyokov and V. S. Kosik, Phys. Lett. 94B, 266 (1980).
L. Wolfenstein, Carnegie-Mellon preprint 3066–180 (1981).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1983 Plenum Press, New York
About this chapter
Cite this chapter
Bryman, D.A. (1983). Aspects of the Lepton Generation Puzzle. In: Capri, A.Z., Kamal, A.N. (eds) Particles and Fields 2. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-3593-1_11
Download citation
DOI: https://doi.org/10.1007/978-1-4613-3593-1_11
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-3595-5
Online ISBN: 978-1-4613-3593-1
eBook Packages: Springer Book Archive