higgs boson

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Tags
 4th of july
 and 1
 boson
 british empire
 higgs boson
 higgs mechanism
 human race
 our universe
 particle physics
 peter higgs
 physics
 quantum
 quantum chromodynamics
 science
 standard model
 the four
 the introduction
 the process
 the standard
 the strong
 the stronger
 the transformation
 united states
 weak force
Description
4th of July 2012, this is the day the Higgs Boson was discovered by the human race. After 45 years of searching, Peter Higgs can now announce to the world how he has seen the culmination of his life's work finally blossom into a tangible result, a result which has brought an all too human emotion to this triumph. Francois Englert, Carl Hagen and Gerald Guralnik are also present in this announcement, who created the theory along with the late Robert Brout. For this reason it could also be referred to as the HEBBoson. The Higgs field and resulting Higgs boson are a vital part of the Electroweak Interaction and the Standard Model of Particle Physics. In the absence of the Higgs field, when a Local Gauge is applied to the Lagrangian of the Electroweak Interaction we are left with forcecarrying bosons that are massive, the W and Z Bosons with masses of ~80GeV and ~90GeV respectively. This would be okay for the Photon as it has no mass, but why are the W and Z Bosons massive? The Higgs mechanism was the most favoured explanation for solving this problem. In brief, the Higgs field is introduced to 'break' the symmetry of the Electroweak theory, which allows particles to have mass. This Higgs mechanism is important as it not only explains how the heavy bosons become massive but also provides an explanation as to how the fermions come to have mass. The Mechanism of the interaction is simple to understand. Where the Electroweak Interaction couples to electric and weak (or flavour) charges and the Strong Interaction couples to colour charge, the Higgs interaction couples to mass. The process by which the Higgs gives fermions mass is via the Yukawa potential. This potential gives the coupling strength of the Higgs to all types of fermions, the stronger the coupling, the more mass the particle will have. Hence the Higgs Boson couples more strongly to more massive particles, hence the energies of the LHC were necessary to create the most massive particles for the Higgs to couple with. Why we needed this boson is a bit more complicated, which corresponds to Peter Higgs, Yoichiro Nambu and Jeffrey Goldstone's theoretical research. In the Electroweak interaction you can examine the Lagrangian in a similar way to those for Quantum Electrodynamics (QED) and also Quantum Chromodynamics (QCD). Starting with the Dirac Lagrangian, when a Local Gauge is applied the resulting Lagrangrian is not invariant under the transformation. The local gauge transformation applied to the Langrangian is dependent on the symmetry, for example for the weak force we use SU(2) symmetry as we want physics invariant under swapping uplike and downlike fermions. When a Local Gauge Symmetry is applied to the Electroweak Lagrangian it does not remain invariant under the gauge transformation. This can be rectified by the introduction of appropriate fields, which have associated massless bosons W1, W2, W3 and B. The SU(2)xU(1) symmetry of the electroweak theory is nonabelian which means that the bosons interact with each other as well as with fermions. The Electroweak theory needs to end up with three massive bosons (2 charged and 1 neutral) and also a massless boson. The Goldstone Theorem provides a mechanism by which the 4 massless bosons from the original symmetry can become the four Electroweak bosons described above. The Goldstone theorem states "that for any continuous symmetry broken, there exists a massless particle, the Goldstone boson." The result is that for each broken generator, there is a resulting massless scalar boson. The Higgs mechanism is the process applied to Electroweak theory. A complex doublet Higgs field can be included in the theory and this Higgs field breaks the symmetry of the problem while retaining local gauge invariance. This Higgs field (two complex scalar fields which transform under the SU(2) symmetry) will, via the Goldstone Theorem, result in a scalar Higgs boson and 3 Goldstone bosons which will provide mass. ...