i’ll try that with my bookie next week

]]>The latest bet was from September 2011. Now that pretty full results from Run 1 are in, it would be interesting to know whether Arkani-Hamed and other signers of that bet are still willing to bet on SUSY in the first year of Run 2. ]]>

Also if fine tuning arguments of the hierarchy problem are to be believed, and if SUSY is not already ruled out for the next run — finding it in the next run always has a higher probability than not finding it but finding it at the next collider at an even higher energy scale….if you think of each energy doubling of collider as a run or as a new collider then probability of finding SUSY particles will go as “p, p/4, p/16 etc.” for “run 1, run 2 (but not at run 1), run 3 (but not at run 2 or 1) etc.”. p/4 + p/16 + p/64 +…. = p/3. So the next run of LHC (ie LHC at 13 or 14 TeV) has roughly 3 times greater chance of finding SUSY than all the future machines.

]]>No objection to your discussion with AS, it actually is on-topic, the kind of thing the SciAm article was discussing as an alternative to SUSY. ]]>

“http://arxiv.org/abs/1403.4226″

I assume you are one of the authors of this paper? It is actually an excellent example of what I’ve been trying to say regarding dimensional transmutation.

The key is the third requirement in eq. (44), which says that the Planck mass is proportional to the vev of the scalar field S. You don’t seem to explicitly calculate that vev anywhere in the paper (but only note that it is nonzero due to Coleman-Weinberg mechanism). But if you actually try to do it, you’ll find that the vev of S is proportional to the renormalization scale \mu. This is the only possible choice, since there are no other fundamental scales in the theory. Consequently, M_pl ~ \mu as well.

But this is in start contradiction with the classical (Newtonian) limit, where one measures M_pl ~ const at \mu->0.

Therefore, the model described in the paper is indeed scale-free, but the induced Planck scale runs along with renormalization scale, and goes to zero in the IR sector. The same holds for the Higgs scale, since all induced scales in the model are proportional to \mu. Therefore, all SM masses (fermions, Higgs, Z/W bosons, etc.) also go to zero when \mu->0.

In experiment, however, we observe that all these masses remain nonzero in the IR limit, which indicates that the fundamental theory must feature at least one mass scale other than \mu, and is therefore not scale-invariant.

I’m afraid we are getting off-topic here. Since I believe I’ve made my point already, I wouldn’t like to pollute Peter’s blog with this any more. We can discuss this further privately if you wish.

Best,

Marko

At least the debate of heliocentrism and evolution is essentially philosphical and theological, the debate with fancy physics has became a war of career and face. It is hard to accept new ideas when your job depends on not knowing them.

]]>Following Bardeen, some people impose scale or conformal symmetry in order to argue that one must select a regulator that respects them, so that power divergences must vanish and the naturalness problem is circumvented. This has the problems that you mention.

Instead, I am proposing something different: that at fundamental level only adimensional couplings exist. Then, power divergences must vanish because they have mass dimension but there are no masses. Scale invariance would just be like baryon number in the SM: an ACCIDENTAL symmetry broken by quantum corrections. In such a context, scales can be generated by quantum corrections, and this paper proposes how the weak and the Planck scale can be generated http://arxiv.org/abs/1403.4226

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