The story of the Higgs boson is instructive, since it demonstrates rather clearly the way that experiment informs theory, and conversely the way that theory guides experiment.It is very unusual in science for a prediction to be made so long before its experimental verification. In 1964 particle accelerators and detectors were still rather primitive, and computing was in its infancy: theorists worked mostly with pencil and paper, and experimentalists could only dream of a machine capable of exploring electroweak symmetry breaking.
The discovery of a Higgs boson at CERN in 2012 was a fantastic technological and sociological achievement. But above all it was a remarkable demonstration of the predictive power of the human mind.
The long and winding road to the Higgs boson:
1928: Heisenberg uses spontaneous symmetry breaking to describe ferromagnetism.
1947: Bogoliubov describes superfluidity in terms of the spontaneous symmetry breaking of a global symmetry.
1954: Nonabelian gauge theories are constructed (Yang and Mills): the gauge bosons are necessarily massless
1957: Superconductivity is also explained in terms of spontaneous symmetry breaking (Bardeen, Cooper, Schrieffer)
1957: Parity violation is discovered, showing that the weak interaction is chiral (Yang, Lee and Wu)
1960: Spontaneous symmetry breaking of chiral symmetry in a quantum field theory explains the observed spectrum of nucleons and pions (Nambu and Jona-Lasinio): a composite scalar field with a vacuum expectation value gives mass to the nucleon.
1961: Glashow writes down an electroweak gauge theory, but the gauge bosons, leptons and quarks are massless
1962: Goldstone proves that in a Lorentz invariant quantum field theory spontaneous symmetry breaking of a global symmetry through the generation of a vacuum expectation value for a scalar field necessarily gives rise to massless particles: Goldstone bosons
1963: Anderson suggests that “the Goldstone zero mass difficulty is not a serious one, because we can probably cancel it off against an equal Yang-Mills zero-mass problem”
1964: Brout, Englert and Higgs show that in a Lorentz invariant gauge theory coupled to a scalar field, spontaneous symmetry breaking generates a mass for the gauge bosons, with no massless particles: the Goldstone bosons are ‘eaten’ by the gauge field. Higgs points out that “an essential feature of this theory is the prediction of incomplete multiplets of scalar and vector bosons”
1967: Weinberg shows that lepton and quark masses also arise through spontaneous symmetry breaking of electroweak gauge symmetry
1971: The Glashow-Weinberg-Salam electroweak theory is shown to be renormalizable by ‘t Hooft and Veltman
1974: Charmonium is discovered, simultaneously at Stanford and Brookhaven, at 3GeV (Richter and Ting).
1975: the first ‘phenomenological profile’ of the Higgs boson (Ellis, Gaillard and Nanopoulos) concludes that “people performing experiments vulnerable to the Higgs boson should know how it may turn up”
1983: the W and Z bosons of electroweak theory are discovered at the CERN SPS, at 80 GeV and 91 GeV (Rubbia)
1989: the search for the Higgs begins in earnest, with the publication of the ‘Higgs Hunter’s Guide’ (Gunion, Haber, Kane and Dawson), and the start of LEP at CERN
1995: the top quark is discovered at the Fermilab Tevatron, at 175 GeV
2001: LEP sets a lower bound of 114 GeV on the Higgs boson mass, virtual corrections preferring masses below 200 GeV. LEP is shut down to allow construction of the CERN LHC
2008: first beams circulate in the LHC ring
2011: Higgs masses between 147 GeV and 180 GeV are excluded by the Tevatron
2013: Englert and Higgs are awarded the Nobel prize, 49 years after making their prediction.
More information about Peter and his boson may be found on the University of Edinburgh Peter Higgs web pages.