Questions tagged [higgs]
This Higgs field breaks electroweak symmetry and provides mass to particles though a process called the Higgs mechanism. The excitation of the Higgs field is called a Higgs boson.
1,161 questions
5 votes
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Structure of Higgs potential
The Higgs potential is written as $V(\phi) = -\mu^2 |\phi|^2 + \lambda^2 |\phi|^4$, where $|\phi|^2 = \phi^\dagger \phi $ and $ \phi $ is a complex scalar doublet. My question is: why do we not ...
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2 votes
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Does Spacetime Curvature affect the Higgs Trilinear Self-Coupling by modifying the Vacuum Expectation Value?
I have been studying the Higgs mechanism, and most standard derivations assume flat Minkowski spacetime.However, in the early universe or near compact objects such as black holes, spacetime curvature ...
3 votes
1 answer
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Will a Higgs factory reveal something new besides testing existing theories?
After the discovery of Higgs boson at LHC, multiple lepton colliders like FCC-ee, ILC, CLIC, and muon colliders were proposed. These colliders can produce Higgs bosons under very clean backgrounds to ...
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3 votes
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What are Higgs field domain boundaries?
I saw this in an answer to my previous question - This issue is discussed in the question Why does the Higgs field fall into the same ground state at all points across space? and I refer you to that ...
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1 vote
1 answer
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Is there any difference between the left and right local minimum of the real-valued Higgs field's double well?
The real-valued Higgs field potential is usually described as a double well, where below a certain temperature the ball has to roll in one direction and go to a local minimum. There are two local ...
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-1 votes
1 answer
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Visual representation of the VEV of a scalar that transforms as a spinor of $SU(2)$
Peskin starts his treatment of SSB (spontaneously symmetry breaking) by considering a non-abelian example. He considers an $SU(2)$ gauge field coupled to a scalar field $\phi$ that transforms as a ...
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-1 votes
1 answer
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Different expressions of the VEV of the Higgs doublet in the GWS theory and their significance
In Peskin (page 701) the expression given for the VEV (assuming unitary gauge is used) is: $$\langle \phi \rangle = \frac{1}{\sqrt 2}(0 ,\nu)^T$$. If one is to substitute this expression in the ...
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5 votes
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Higgs vs Landau scale
Consider $SU(2)$ gauge theory with a scalar. Cook up a potential such that this scalar gets a vev $v$. Then, at low energies we get a $U(1)$ gauge theory. Now $U(1)$ has its own scale $\Lambda$, the ...
0 votes
1 answer
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What is the shape of the potential energy graph for the Higgs Field?
I know that the Higgs field is not in a symmetrical state and that its expectation values lie at the bottom of the 'Mexican hat' of the Higgs Field's potential energy graph. And this spontaneous ...
-5 votes
2 answers
197 views
How can the mass of a neutrino even be conceptualized in electron volts?
Rhetorical question but if you have a good answer I'd like to hear it. I understand well why electron volt is used for mass, so I'm not just looking for a rehash as to how this could apply to ...
3 votes
0 answers
83 views
Is the Choice of Minima in the Higgs Mechanism Arbitrary or Related To Producing a Massless Photon?
I'm trying to understand the choices made during derivations of the Higgs Mechanism. Particularly at the point where we have $\phi^\dagger\phi = \frac{1}{2}\left(\phi^2_1+\phi^2_2+\phi^2_3+\phi^2_4\...
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Cancellation of the quartic divergences in vector boson loop correction to Higgs mass
The vector boson loop corrections to the Higgs 2-point function are given by one diagram with one $hhVV$ vertex $ g_{hhVV} = 2im^2/v^2 $ and another diagram with two $hVV$ vertices $g_{hVV} = 2im^2/v$....
5 votes
1 answer
291 views
What Constants in the SM Lagrangian Are Relevant to the Shape of the Higgs Potential?
So for the Higgs potential, I'm aware that, before symmetry breaking, the specific values of $\mu^2$ and $\lambda$ in $V(\phi)=\mu^2 \phi^\dagger\phi+\lambda (\phi^\dagger\phi)^2$ define its shape. ...
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0 votes
1 answer
124 views
Electric charge density due to vacuum expectation value
Consider the SM Higgs potential $$V(\Phi)=\mu^2\Phi^\dagger\Phi + \lambda (\Phi^\dagger\Phi)^2,$$ where $$\Phi=\frac{1}{\sqrt{2}}\pmatrix{\varphi_1+i\varphi_2 \\ \varphi_3+i\varphi_4}$$ is the Higgs ...
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Higgs decay into $ZZ$ or $WW$ [duplicate]
I was studying this graph: (Source) I was wondering why there is such a big difference in the branching ratio of $H \to WW$ and $H \to ZZ$. I know that for the Higgs mass of $125\,\text{GeV}$ both ...
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