
#19
Sep213, 10:48 AM

P: 962

Is it true that interaction with the Higgs field causes the spin of the electron (and other massive particles, I assume) to oscillate? How does that work, I wonder?




#20
Sep213, 11:03 AM

P: 81

I am guessing what is being referred to is the higgs interactions with fermions. i.e.
y {f_{L}}^{\dagger} phi f_{R} i.e. the sandwich of the higgs doublet phi with an SU(2) doublet of left handed fermions and right handed fermion singlet (y is the yukawa coupling). The interaction is between the left and right handed fields.. which is probably what is meant from the 'spin of the electron (and other massive particles, I assume) to oscillate?' Perhaps someone else has a better explanation.. 



#21
Sep313, 03:21 PM

Sci Advisor
Thanks
P: 3,846

For a massless fermion, chirality is a good quantum number, but for a massive one it is not. In fact the mass term in the Hamiltonian can be written mψψ = m(ψ_{L}ψ_{R} + ψ_{R}ψ_{L}) showing that it couples ψ_{L} and ψ_{R}. Hence the energy eigenstates of the fermion do not have unique chirality. Don't blame it on the Higgs! This holds equally true whether the mass crossterm is put in by hand, or generated by coupling to the Higgs field. 


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