- #1
karlzr
- 131
- 2
I have some questions or thoughts about EW symmetry breaking.
(1) Higgs mechanism gives mass to SM particles after the background higgs field rolls from ##h=0## to ##h=v## and symmetry is broken. We are talking about pole mass, aren't we? So pole mass changes continuously from ##0## to ##m## for those massive particles in SM.
(2) What does the Higgs potential energy look like at high energy scales? Does the shape change? More specifically, does the nonzero vacuum still exist. If true, the physical higgs field can always be defined as excitation around this global vacuum for equilibrium state at ##T=0 K##. In other words, symmetry will not be restored simply by going to high energy scales if we stick to zero temperature. Actually in my impression we can set ##V'(h=v)=0## as the renormailization condition when regularizing the quantum corrected potential. I don't understand why it is a valid condition, because I think the vacuum will run at different energy scales.
(3) It is totally arbitrary to set the potential energy of the vacuum in particle physics and usually people choose zero. But this arbitrariness might play an important role in cosmology, so how do we deal with this problem in that situation?
(1) Higgs mechanism gives mass to SM particles after the background higgs field rolls from ##h=0## to ##h=v## and symmetry is broken. We are talking about pole mass, aren't we? So pole mass changes continuously from ##0## to ##m## for those massive particles in SM.
(2) What does the Higgs potential energy look like at high energy scales? Does the shape change? More specifically, does the nonzero vacuum still exist. If true, the physical higgs field can always be defined as excitation around this global vacuum for equilibrium state at ##T=0 K##. In other words, symmetry will not be restored simply by going to high energy scales if we stick to zero temperature. Actually in my impression we can set ##V'(h=v)=0## as the renormailization condition when regularizing the quantum corrected potential. I don't understand why it is a valid condition, because I think the vacuum will run at different energy scales.
(3) It is totally arbitrary to set the potential energy of the vacuum in particle physics and usually people choose zero. But this arbitrariness might play an important role in cosmology, so how do we deal with this problem in that situation?