Can Left Handed Up Quarks Transform Into Right Handed Ones?

[talanum52]

Homework Statement

Can Left Handed Up Quarks Transform Into Right Handed Ones?

Relevant Equations

u(i) = 1/2

Isospin must be transformable if it is the case. In which case there must be additional Bosons for doing the transformation.

 

[malawi_glenn]

Can you write down a term in the standard model lagrangian where you have $\bar u_R$ and $u_L$?

 

[talanum52]

It's u_R and u_L.

No, but I can write down a formula containing a new particle, with the particle's properties (for the case of an electron, not u-quark).

 

[topsquark]

It's u_R and u_L.

No, but I can write down a formula containing a new particle, with the particle's properties (for the case of an electron, not u-quark).

Hint: Look at the Higgs sector.

-Dan

 

[BoraxZ]

Hint: Look at the Higgs sector.

-Dan

Doesn't, for example, a left-handed electron change into a right-handed one by coupling to the Higgs field? Which is why the neutrino has no Higgs-induced mass?

So, a left-handed quark can change into a right-handed one indeed?

 

[malawi_glenn]

It's uR and uL.

You need a bar above one of them to preserve gauge symmetries...

 

[BoraxZ]

You need a bar above one of them to preserve gauge symmetries...

I thought the same. Loosely speaking, before the SU(2)LxU(1)Y symmetry is broken, Higgs couples the $\phi _l$ and $\bar{\phi} _r$: $\bar{\phi} _l h {\phi} _r$. When the symmetry is broken this becomes $m\bar{\phi} \phi$, where the $\phi$'s are superpositions of l and r.

It's comparable to the Higgs interacting with the three W's and B of the unbroken electroweak field. After this interaction, the interaction vertex term becomes a mass term, the Z0 and W+/- being superpositions of the three W's and B (like the l and r in the previous paragraph).