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.
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Do spin correlations between $b$ and $\bar b$ exist at all in $H \to b\bar b$, and can they survive parton showering?
I'm studying the CP structure of $H \to b\bar b$. At generator level (with parton showering on), any spin correlation between the $b$ and $\bar b$ branches seems completely washed out — even when ...
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Scaling the field values for the Higgs potential
In Toward the Theory of Electroweak Phase Transition by Dine, Leigh, et.al. The zero temperature potential of the Higgs field is given as: $$V_0 = -\frac{\mu^2}{2} \phi^2 + \frac{\lambda}{4} \phi^4 + ...
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Higgs expectation value in crossovers
It is commonly known that the electroweak phase transition due to the Higgs potential is a smooth crossover rather than a discontinuous phase transition. I understand what it means from the effective-...
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Higgsing $SU(2)\times SU(2)\rightarrow U(1)$
I'm wondering how to interpret the following setup: consider a bi-fundamental Higgs field living in the representation $(2,2)$, which has the transformation property $$ \Phi_{i \alpha} \rightarrow \...
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How could I model the Higgs effective potential with multiple minima?
In Higgs mass and vacuum stability in the Standard Model at NNLO, Eq. 52 gives the effective potential for the Higgs field as: $$\lambda_{\text{eff}}(h) = e^{4\Gamma(h)} \left\{ \lambda(h) + \frac{1}{(...
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Solving Equations of Motion Gives New Inconsistent Equations of Motion, Abelian Higgs
I am working with a particular effective Lagrangian related to the abelian Higgs model. $$\mathcal{L}=-\frac{1}{4}{F}_{\mu\nu}{F}^{\mu\nu}+\frac{1}{2}[\partial_\mu \rho \partial^\mu \rho+B_\mu B^\mu \...
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What is the fundamental reason for triggering the symmetry breaking from $\phi=0$ to $\phi\ne 0$?
In the context of electroweak symmetry breaking of the Standard Model, an ad-hoc Higgs potential is considered (illustrated below) that allows to explain for gauge bosons. The Higgs field at an ...
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How does this analytic expression for the bounce action reduce to Coleman's in the thin-wall limit?
In the recent paper False Vacuum Decay Rate From Thin To Thick Walls , it is shown that in 4 dimensions, the bounce action is given by : $$S = \frac{2\pi^2 m^2}{4\eta^2}\frac{1}{6\epsilon_{\alpha}^3}\...
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Does Gürsey parametrization for the Higgs field hold in higher dimensional irreps of $SU(2)$
In many textbooks the Higgs doublet is parametrized (Gürsey parametrization) as follows: $$ \Phi(x)= U(x)\frac{1}{\sqrt{2}} \left(\begin{array}{c} 0 \\ v+h(x) \end{array}\right) $$ with $U(x) \in SU(2)...
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How can I model the Higgs effective potential?
I'm unsure as to how one would go about modelling the Higgs effective potential. I have been studying vacuum decay and have done work on instantons and would like to apply some of my calculations to a ...
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Can the top Yukawa coupling be imaginary?
In the paper Higgs Mass And Vacuum Instability in the Standard Model at NNLO the Yukawa coupling of the Higgs squared is given by the formula: $$y_t^2(\mu) = 2\sqrt{2}G_\mu M_t^2 \left(1 + \frac{8}{3}...
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Is there a Higgs mechanism for higher-form symmetries?
I have been studying generalized symmetries for a couple years now and I noticed that I have never seen a generalized Higgs mechanism for higher-forms symmetries. It is well understood that $p-$form ...
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Meissner effect for BCS superconductor using number-conserving formalism with no global $U(1)$ phase breaking
The origin of Meissner effect is the Anderson Higgs mechanism (see page 82 https://www-thphys.physics.ox.ac.uk/people/SteveSimon/QCM2019/QuantumMatter.pdf), where the global $U(1)$ phase symmetry of ...
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Is it possible for an effective potential to have a complex component? Should only the real part be taken?
In the paper Higgs Mass And Vacuum Instability in the Standard Model at NNLO, it is shown that the effective potential can be written in the form $V_{eff}(h) = \frac{\lambda_{eff}(h)}{4} h^4 $. Part ...
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Are these mass relations known? [closed]
In some GUTs such as $SU(5)$ the lepton and down-quark masses are supposed to be the same. Obviously they are not, they are split due to symmetry breaking. So I wondered if we take the geometric mean ...
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