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Understanding the need for the Higgs Field 
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#1
Nov2213, 10:33 PM

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Hello,
I am a layman who just read Sean Carroll's The Particle at the End of the Universe and I am trying to understand what I think is the crux of the book, the need for the Higg's boson according to the Standard model. This is my thought process: 1. The weak interaction only interacts with lefthanded fermions 2. The above implies the weak bosons are massless because only bosons which are massless can travel at light speed and therefore observe only one type of helicity 3. Experimentally, however the weak bosons are shown to have mass due to the their limited range of interaction. 4. Therefore, mass can't be inherent to the W and Z bosons but rather acquired through the interaction of another field. (i.e. the Higg's Field) Is my thought process even remotely close? Thanks Ryan 


#2
Nov2213, 11:49 PM

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However, it can be shown that renormalization of a gauge theory requires that the gauge symmetry be a good symmetry at high energies (which the source of the infinities). A mass term for a gauge boson explicitly breaks the gauge symmetry, so the quantum field theory of a massive gauge boson is not renormalizable. The electroweak theory evades this restriction because the gauge bosons are only massive below the scale where the gauge symmetry is broken. At high energies, the gauge bosons are massless and the full gauge symmetry is restored, allowing for renormalization. 


#3
Nov2313, 04:00 AM

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#4
Nov2313, 11:13 AM

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Understanding the need for the Higgs Field
Thanks a lot for your response. I well need to digest your response a little. I appreciate it all the same



#5
Nov2313, 02:31 PM

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#6
Nov2313, 02:43 PM

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(But feel free to substitute "electroweak" everywhere you see "weak".) 


#7
Nov2313, 04:10 PM

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#8
Nov2413, 08:06 AM

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