# Higgs boson creation

from what I understand, the higgs boson is basically a wave in the higgs field. I understand that they have a lot of mass, but are they hard to create? are there higgs bosons flying past us every time electrons moves through wires, or do they require intense energy to be created?

tiny-tim
Homework Helper
hi anorred! my advice is to forget about the higgs boson, it doesn't do anything interesting!

the higgs field is what affects things, the higgs boson is just a fairly useless particle that is the evidence for the existence of the higgs field mfb
Mentor
or do they require intense energy to be created?
This. They have a large mass, therefore the production needs a lot of energy. They can be created in the LHC and very high-energetic collisions elsewhere in the universe, but not in everyday objects.

ChrisVer
Gold Member
well, I guess knowing the mass of the Higgs boson is not so useless ...
The mass of Higgs completes our needs to know the higgs field potential parameters, and thus see what's going on in there....
so far we were able to know the Higg's vev...

So no...the Higg's boson is not so useless ahahhaahaha

Bill_K
The mass of Higgs completes our needs to know the higgs field potential parameters, and thus see what's going on in there.
We still need to find the value of the Higgs self-coupling term.

ChrisVer
Gold Member
which term is that? haven't seen it :/
I mean the Higg's potential contains two parameters, the μ and λ.
we know that the vev is:
$v=\sqrt{\frac{-μ^{2}}{λ}}$ approximately 247GeV
and that the mass of higgs boson is
$m=-μ^{2}$ which we can high confidently say it's around 126GeV
so we know the values for μ and λ (that's what I meant)

Bill_K
We need to confirm whether the particle seen at 126 GeV is in all respects the vanilla Higgs boson. This includes verifying that the spin/parity is 0+, and that the coupling to the various fermions is proportional to their masses.

And also that the Higgs couples as predicted to itself. The Lagrangian

L = (1/2)(∂μh)2 - λv2h2 - λvh3 - (1/4)λh4

predicts cubic and quartic self-coupling. Eventually the coefficients for these terms will be observed and measured, but it will take a much larger dataset since it requires the creation of two Higgs bosons at once.

mfb
Mentor
We need to confirm whether the particle seen at 126 GeV is in all respects the vanilla Higgs boson.
In the same we have to verify that the branching ratios of Bs mesons agree with the Standard Model. This is nothing special about the Higgs boson, it is just "newer" in the set of observed particles.

Concerning self-coupling, it is expected that the coupling of 3 Higgs can be seen after the high-luminosity upgrade (but with a poor uncertainty on its strength: ~1/3), see this powerpoint presentation or this arXiv contribution for example. The coupling of 4 Higgs is beyond the reach of current detectors.

And the Higgs boson is important. Directly observing couplings as well as unitarising WW scattering which seems to get forgotten.

which term is that? haven't seen it :/
I mean the Higg's potential contains two parameters, the μ and λ.
we know that the vev is:
$v=\sqrt{\frac{-μ^{2}}{λ}}$ approximately 247GeV
and that the mass of higgs boson is
$m=-μ^{2}$ which we can high confidently say it's around 126GeV
so we know the values for μ and λ (that's what I meant)
you try to put a limit on higgs boson mass,from the known masses of W and Z boson.In fact,it is impossible to calculate mass of higgs boson in Standard model.

ChrisVer
Gold Member
you try to put a limit on higgs boson mass,from the known masses of W and Z boson.In fact,it is impossible to calculate mass of higgs boson in Standard model.

ehm what exactly do you mean by that?
1st of all, I didn't try to put limits, neither did I use anyone who tried to put limits. The higher and lower limits of course existed either from theoretical point of view, or from experiments. The value of vacuum expectation value is coming from experiment.
2nd the mass of the Higgs boson I used, is the one that was detected in CERN-LHC, and again not from a theory. Of course I know it still needs more data to be verified, but well.... it's more a matter of time than a matter of anything else :)

as for the Higgs mass, why do you say it's impossible to calculate the mass in the SM? of course you can - it's the quadratic field coupling term in your Lagrangian. you can calculate it, as I wrote, in relation of your Lagrangian parameters which you then have to find out experimentally within the SM. Now for theories beyond the SM, if they can somehow connect those parameters with others known within a single one, that's still subject to experimental verification.

Are you aware of gauge hierarchy problem?

ChrisVer
Gold Member