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Does the Standard Model have a Landau pole?

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I have seen the statement that the Standard Model has a Landau pole, or at least it its believed that it does at $\sim 10^{34}$ GeV. Has this actually been proven (at least in perturbation theory, as in QED) or what kind of evidence is there to support this?

This post imported from StackExchange Physics at 2014-08-07 15:39 (UCT), posted by SE-user Nuno

asked Feb 18, 2013 in Theoretical Physics by Nuno (30 points) [ no revision ]
retagged Aug 7, 2014

I'm not sure if it's the case, and it's possible that the answer is sensitive to measured constants (the Higgs mass, the top mass, alpha-strong). A well-known recent paper that runs relevant SM couplings up to the Planck scale is inspirehep.net/record/1116539 - it hints that the Higgs coupling doesn't blow up but actually almost vanishes at the Planck scale.

This post imported from StackExchange Physics at 2014-08-07 15:39 (UCT), posted by SE-user Vibert

commented Feb 19, 2013 by Vibert (0 points) [ no revision ]

@Vibert: The $\lambda$ result in that paper is interesting, but the $U(1)$ coupling shows no signs of slowing down. I think right now I'd bet that the Standard Model has at least one Landau pole.

This post imported from StackExchange Physics at 2014-08-07 15:39 (UCT), posted by SE-user user1504

commented Feb 20, 2013 by user1504 (1,110 points) [ no revision ]

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