Powerful symmetry principles have guided physicists in their quest for nature's fundamental laws. The successful gauge theory of electroweak interactions postulates a more extensive symmetry for its equations than are manifest in the world. The discrepancy is ascribed to a pervasive symmetry-breaking field, which fills all space uniformly, rendering the Universe a sort of exotic superconductor. So far, the evidence for these bold ideas is indirect. But soon the theory will undergo a critical test depending on whether the quanta of this symmetry-breaking field, the so-called Higgs particles, are produced at the Large Hadron Collider (due to begin operation in 2007).
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Glashow, S. Partial symmetries of weak interactions. Nucl. Phys. 22, 579–588 (1961).
Weinberg, S. A model of leptons. Phys. Rev. Lett. 19, 1264–1266 (1967).
Salam, A. in Elementary Particle Physics, Nobel Symp. (ed. Svarthom, N.) No. 8, 367–377 (Almqvist & Wiksell, Stokholm, 1968).
't Hooft, G. & Veltman, M. Regularization and renormalization of gauge fields. Nucl. Phys. B 44, 189–213 (1972).
Englert, F. & Brout, R. Broken symmetry and the mass of gauge vector mesons. Phys. Rev. Lett. 13, 321–323 (1964).
Higgs, P. Broken symmetries and the masses of gauge bosons Phys. Rev. Lett. 13, 508–509 (1964).
Wess, J. & Zumino, B. A lagrangian model invariant under supergauge transformations. Phys. Lett. B 49, 52–54 (1974).
Ferrara, S. (ed.) Supersymmetry (North Holland/World Scientific, Singapore, 1987).
Weinberg, S. The Quantum Theory of Fields 1: Foundations (Cambridge Univ. Press, Cambridge, 1995).
Wilczek, F. Quantum field theory. Rev. Mod. Phys. 71, S85–S95 (1999).
Weyl, H. Z. Elektron and gravitation I. Z. Phys. 56, 330–352 (1929).
London, F. Quantenmechanische deutung der theorie von Weyl. Z. Phys. 42, 375–389 (1927).
Yang, C. N. & Mills, R. Conservation of isotopic spin and isotopic gauge invariance. Phys. Rev. 96, 191–195 (1954).
ALEPH Collaboration, DELPHI Collaboration, L3 Collaboration, OPAL Collaboration & The LEP Working Group for Higgs Boson. Search for the standard model Higgs boson at LEP. Phys. Lett. B 565, 61–75 (2003).
LEP Electroweak Working Group [online] 〈http://lepewwg.web.cern.ch/LEPEWWG〉 (2004).
Einhorn, M. (ed) The Standard Model Higgs Boson (North Holland, Amsterdam, 1991).
Gunion, J., Haber, H., Kane, G., & Dawson, S. The Higgs Hunter's Guide (Addison Wesley, New York, 1990).
Gross, D. & Wilczek, F. Ultraviolet behavior of non-Abelian gauge theories. Phys. Rev. Lett. 30, 1343–1346 (1973).
Politzer, H. Reliable perturbative results for strong interactions? Phys. Rev. Lett. 30, 1346–1349 (1973).
Riess, A. et al., Observational evidence from supernovae for an accelerating universe and a cosmological constant. Astron. J. 116, 1009–1038 (1998).
Permutter, S. et al. Measurements of Ω and Λ from 42 high-redshift supernovae. Astrophys. J. 517, 565–586 (1999).
Spergel, D. et al., Determination of cosmological parameters. Astrophys. J. 148 (suppl.), 175–194 (2003).
London, F. Superfluids 1: Macroscopic Theory of Superconductivity (Wiley, New York, 1950).
Bardeen, J., Cooper, L. & Schrieffer, R. Theory of superconductivity. Phys. Rev. 108, 1175–1204 (1957).
Weinberg, S. Quantum Theory of Fields, Vol. 3: Supersymmetry (Cambridge Univ. Press, Cambridge 2000).
Lee, T. D. & Yang, C. N. Question of parity conservation in weak interactions. Phys. Rev. 104, 254–258 (1956).
Lederman, L. & Teresi, D. The God Particle (Bantam, New York, 1993).
Wilczek, F. The origin of mass. Ann. Phys. (MIT) 16, 24–35 (2003).
Einstein, A. Does the inertia of a body depend upon its energy content? [in German] Ann. Phys. 18, 639–641 (1905).
Kuti, J., Lin, L. & Shen, Y. Upper bound on the Higgs-boson mass in the standard model Phys. Rev. Lett. 61, 678–681 (1988).
Wilczek, F. Decays of heavy vector mesons into Higgs particles. Phys. Rev. Lett. 39, 1304–1306 (1977).
Bjorken, J. in Proc. SLAC Summer School (SLAC publication 198, 1976).
Georgi, H., Glashow, S., Machacek, M. & Nanopoulos, D. Higgs bosons from two-gluon annihilation in proton–proton collisions. Phys. Rev. Lett. 40, 692–694 (1978).
CMS collaboration. The compact muon solenoid [online] 〈http://www.lip.pt/~outreach/docs/cms2〉 (2004).
Pati, & Salam, A. Unified lepton-hadron symmetry and a gauge theory of the basic interactions. Phys. Rev. D 8, 1240–1251 (1973).
Georgi, H., Quinn, H. & Weinberg, S. Hierarchy of interactions in unified gauge theories. Phys. Rev. Lett. 33, 451–454 (1974).
Dimopoulos, S., Raby, S. & Wilczek, F. Supersymmetry and the scale of unification. Phys. Rev. D 24, 1681–1683 (1981).
Dimopoulos, S. & Georgi, H. Softly broken supersymmetry and SU(5). Nucl. Phys. 193, 150–162 (1981).
Amaldi, U., de Boer, W. & Fürstenau, H. Comparison of grand unified theories with electroweak and strong coupling constants measured at LEP. Phys. Lett. B 260, 447–455 (1991).
Ellis, J., Kelly, S. & Nanopoulos, D. Precision LEP data, supersymmetric GUTs and string unification. Phys. Lett. B 249, 441–448 (1990).
Gildener, E. & Weinberg, S. Symmetry breaking and scalar bosons. Phys. Rev. D 13, 3333–3341 (1976).
Witten, E. Dynamical breaking of supersymmetry. Nucl. Phys. B 188, 513–554 (1981).
Gell-Mann, M., Ramond, P. & Slansky, R. in Supergravity: Proceedings of the Supergravity Workshop at Stony Brook, September 27–29, 1979 (eds van Nieuwenhuizen, P. & Freedman, D.) 315–321 (North Holland, Amsterdam, 1979).
Yanagida, T. in Workshop on Unified Theory and Baryon Number in the Universe (eds Sawada, O. & Sugamoto, A.) 95–98 (KEK, Tsukuba, 1979).
Wilczek, F. Scaling mount Planck 3: is that all there is? Phys. Today 55N8, 10–11 (2002).
Kirzhnits, D. & Linde, A. Symmetry behaviour in guage theories. Ann. Phys. 101, 195–238 (1976).
Guth, A. Inflationary universe: a possible solution to the horizon and flatness problems. Phys. Rev. D 23, 347–356 (1981).
A precision measurement of the mass of the top quark. Nature 429, 638–642 (2004).
Georgi, H. & Glashow, S. Unity of all elementary-particle forces. Phys. Rev. Lett. 32, 438–441 (1974).
Georgi, H. in Particles and Fields 1974 (ed. Carlson, C.) 575–584 (AIP, New York, 1975).
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Wilczek, F. In search of symmetry lost. Nature 433, 239–247 (2005). https://doi.org/10.1038/nature03281
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