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XV - The Higgs boson

Published online by Cambridge University Press:  06 January 2010

John F. Donoghue
Affiliation:
University of Massachusetts, Amherst
Eugene Golowich
Affiliation:
University of Massachusetts, Amherst
Barry R. Holstein
Affiliation:
University of Massachusetts, Amherst
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Summary

A central feature of the Standard Model is the spontaneous symmetry breaking in the electroweak sector which gives mass to fermions and to the W± and Z0 gauge bosons. The sole physical remnant of this process is the Higgs boson. Although its couplings to the other particles in the theory are fully specified, the Higgs mass is undetermined. As a consequence, efforts to detect this particle cover the widest possible range of mass values [GuHKD 90, Ei 91].

Mass and couplings of the Higgs boson

Although a complex doublet of Higgs fields is initially introduced in the Weinberg–Salam model, there remains following spontaneous symmetry breaking precisely one physical Higgs state, a neutral scalar particle H0. That is, if we define the number of degrees of freedom for Higgs and gauge boson states respectively as NH and NG, then before the symmetry breaking we have NH = 4, NG = 8 whereas afterwards we find NH = 1, NG = 11. To obtain these values, recall that massive vector particles have three spin components whereas massless vector particles have just two. Although the total of Higgs and gauge-boson degrees of freedom remains fixed (NH + NG = 12), there is a transfer of three states from the Higgs sector to the gauge-boson sector. These Higgs states become the longitudinal spin modes of the W±, Z0 particles.

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Publisher: Cambridge University Press
Print publication year: 1992

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  • The Higgs boson
  • John F. Donoghue, University of Massachusetts, Amherst, Eugene Golowich, University of Massachusetts, Amherst, Barry R. Holstein, University of Massachusetts, Amherst
  • Book: Dynamics of the Standard Model
  • Online publication: 06 January 2010
  • Chapter DOI: https://doi.org/10.1017/CBO9780511524370.016
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  • The Higgs boson
  • John F. Donoghue, University of Massachusetts, Amherst, Eugene Golowich, University of Massachusetts, Amherst, Barry R. Holstein, University of Massachusetts, Amherst
  • Book: Dynamics of the Standard Model
  • Online publication: 06 January 2010
  • Chapter DOI: https://doi.org/10.1017/CBO9780511524370.016
Available formats
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Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • The Higgs boson
  • John F. Donoghue, University of Massachusetts, Amherst, Eugene Golowich, University of Massachusetts, Amherst, Barry R. Holstein, University of Massachusetts, Amherst
  • Book: Dynamics of the Standard Model
  • Online publication: 06 January 2010
  • Chapter DOI: https://doi.org/10.1017/CBO9780511524370.016
Available formats
×