I have few question about the metastability of the vacuum.

First of all I am wondering if metastability of the vacuum mean metastability of the higgs potential, so that the higgs potential has a deeper minimum than that one at $v=246 GeV$ where it could tunnel to:

enter image description here (taken from https://physics.aps.org/articles/v8/108)

Then, if so, how is such a potential even possible in a renormalizable Lagrangian? It has to be at least of the order $\phi^6$ to be bound from below and have two minima right? In my knowledge a Lagrangian with a coupling constant of negative mass dimension is not renormalizable (at least not in 4 dimensions).

Further i would like to know why people think that our vacuum is metastable or even how to measure that. I have read that there a some cosmological approaches but this confuses me since then gravity is taken into account which is not even part of the Standard model.

So three question:

  • Vacuum metastable = Higgs potential meta stable (if not what else?)
  • If so, is there a $\phi^6$ term in the Lagrangian? -> renormalizable?
  • How to measure vacuum metastability?


Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Browse other questions tagged or ask your own question.