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A model of the basic particles and forces featuring six quarks, three charged leptons, three massless neutral leptons and four fundamental force carrying bosons. The twelve fermions are arranged into three generations, while the bosons serve to explain the electromagnetic interaction plus the strong and weak nuclear forces (and the Higgs mechanism). Do NOT use this tag for the standard model of cosmology, etc..

22 votes
2 answers
9k views

What does a $\rm SU(2)$ isospin doublet really mean?

What do we really mean when we say that the neutron and proton wavefunctions together form an $\rm SU(2)$ isospin doublet? What is the significance of this? What does this transformation really doing …
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  • 27.2k
19 votes
2 answers
1k views

Why is Higgs particle detected much later than top quark when it's lighter? [duplicate]

The Higgs boson is lighter than the top quark. But the top quark was discovered in the mid-1990s where the Higgs boson escaped detection for two more decades. So if the energy has already been achieve …
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  • 27.2k
15 votes
Accepted

Why does the Higgs field fall into the same ground state at all points across space?

If I understand it correct, then in a nutshell, you are asking why is the VEV independent of spacetime. If the Higgs field had different values at different points in space i.e., if it had a spacetime …
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  • 27.2k
14 votes
2 answers
4k views

What is wrong with a nonrenormalizable theory?

Non-renormalizable theories, when regarded as an effective field theory below a cut-off $\Lambda$, is perfectly meaningful field theory. This is because non-renormalizable operators can be induced in …
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  • 27.2k
9 votes
3 answers
2k views

How to integrate out the $W$-boson fields?

What does it mathematically mean to 'integrate out' the $W$-boson fields to obtain the Fermi Lagrangian from the electroweak theory? How does one achieve this mathematically? It will be helpful if som …
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  • 27.2k
8 votes
0 answers
183 views

Question about the vacua of the Standard Model

This question is probably based on a misunderstanding. Please correct me if I'm wrong, and if unclear, I'll try to put it in a clearer language. In Yang-Mills theory such as the theory of strong inte …
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  • 27.2k
7 votes
1 answer
1k views

Quark mixing vs neutrino mixing, mass eigenstates, weak states and detection

I have some doubts regarding the CKM matrix in the quark sector and PMNS matrix in the leptonic sector. Let us call $(d^\prime, s^\prime, b^\prime)$ the weak basis for quarks and $(d,s,b)$ the mass ba …
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  • 27.2k
6 votes
2 answers
1k views

What forbids off-diagonal elements in the kinetic terms of the Standard Model?

In the Standard Model, the gauge covariant kinetic term for the left-handed lepton doublets $\psi_{iL}=(\nu_{iL},e_{iL})^T$, for example, is given by $$i\overline{\psi_{iL}}\gamma^\mu D_\mu\psi_{iL}.$ …
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6 votes
2 answers
4k views

Lepton number conservation in standard model

Why is it said that in standard model lepton number is conserved? How do I know that Lepton number is an abelian charge? Why is this conservation not as sacred as electric charge conservation. How …
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  • 27.2k
6 votes
2 answers
2k views

Why is the Higgs VEV called vacuum Higgs condensate?

In this Lubos says that Higgs VEV is also called vacuum Higgs condensate which the term used by Prof. Englert in this video. Since the Higgs field is bosonic, I wonder whether this terminology has any …
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5 votes
4 answers
1k views

Calculating the $\mu\rightarrow e\gamma$ decay and cancellation between diagrams

In the book “Gauge theory of elementary particles-Cheng and Li, section 13.3, the $\mu\rightarrow e\gamma$ decay amplitude is calculated in the $R_{\xi}$ gauge. Regarding this derivation, I'm stuck wi …
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  • 27.2k
5 votes
1 answer
1k views

Higgs is neutral but decays into photons-Why?

Higgs is neutral and therefore cannot have electromagnetic interactions. Then how can it decay into a pair of photons? Does it mean that particles need not be charged to have electromagnetic interacti …
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  • 27.2k
5 votes
1 answer
702 views

Same $U(1)$ charge for the $SU(2)$ doublet

Consider the electroweak gaugesymmetry $SU(2)_L\times U(1)_Y$. The entries of $SU(2)_L$ doublet will have same $U(1)$-charge. How can this be shown mathematically?
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  • 27.2k
5 votes
3 answers
3k views

Majorana Mass For Neutrinos In Standard Model

Neutrinos cannot have Dirac masses because there are no $SU(2)_L$ singlet right-handed neutrinos in the Standard Model (SM). But can neutrinos be given Majorana masses in the SM? I heard that Majorana …
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  • 27.2k
5 votes
1 answer
167 views

Current knowledge of Higgs

What is the current knowledge about the Higgs field after its discovery in the LHC? Does it exactly mimic the standard model Higgs? Does this knowledge rules out the possibility of other Higgs particl …
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