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Higgs model predicts a universe the size of a football. 
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#19
Oct2213, 02:26 PM

P: 77




#20
Oct2213, 02:41 PM

Mentor
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Out of all elementary particles, the Higgs is the one with the smallest set of measurements, and the largest uncertainty in those measurements. The branching ratios are a powerful test to see if the Higgs boson acts as expected. 


#21
Oct2213, 02:55 PM

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For discussion of the 'vacuum catastrophe' problem, see Quantum vacuum fluctuations, http://arxiv.org/abs/quantph/0105053



#22
Oct2213, 04:00 PM

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#23
Oct2213, 04:31 PM

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All these discussions are similar, but the radically different answers they get boil down to a choice of scale. The vacuum energy is ρ ~ M^{4}. If you use in this the Planck mass, M_{Pl} = 10^{19} GeV, you'll be off by 120 orders of magnitude. Veltman says to use the electroweak scale, M = 100 GeV, which is only off by 55 orders. Supersymmetry so far has not been seen, so its scale keeps going up, but it appears to be 1000 GeV or more, which is off by 60 orders. By comparison the scale from the observed cosmological constant is M_{obs} = 0.001 eV, which makes you wonder if they are even looking in the right place. 


#24
Oct2213, 04:41 PM

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#25
Oct2213, 05:07 PM

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Notice that his result is only one contribution to the vacuum energy. There are other contributions, equally important. With this approach, the puzzle is how the remaining contributions can nearly cancel this one. 


#26
Oct2213, 05:40 PM

P: 77

The case of the Higgs model is however special in that a constant appears in the lagrangian. It is not an infinity due to vacuum fluctuations. I would therefore hesitate to lump it up with the vacuum catastrophe. 


#27
Nov313, 04:22 PM

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http://arxiv.org/pdf/hepth/0503158v1.pdf 


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