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A Does supersymmetry rule out asymptotic safety?

  1. Jan 17, 2017 #1
    If we find supersymmetry at the LHC, would this prove asymptotic safety in QG wrong?
    Here's the article
    https://arxiv.org/pdf/1508.07411v2.pdf
     
  2. jcsd
  3. Jan 17, 2017 #2

    ShayanJ

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    Gold Member

    What I understand from the abstract is that they proved a large number of supersymmetric theories can't be asymptotically safe. It still leaves non-supersymmetric theories and supersymmetric theories that don't satisfy their assumptions.
     
  4. Jan 18, 2017 #3

    tom.stoer

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    Science Advisor

    From my perspective this paper is nearly irrelevant.

    Usually asymptotic safety is applied to theories for gravity plus matter. This paper deals with supersymmetry, but without matter.

    I guess the idea is to continue with gravity, SUGRA, ...
     
  5. Jan 26, 2017 #4
    this paper assumes no supersymmetry

    Asymptotic safety of gravity and the Higgs boson mass
    Mikhail Shaposhnikov, Christof Wetterich
    (Submitted on 1 Dec 2009 (v1), last revised 12 Jan 2010 (this version, v2))
    There are indications that gravity is asymptotically safe. The Standard Model (SM) plus gravity could be valid up to arbitrarily high energies. Supposing that this is indeed the case and assuming that there are no intermediate energy scales between the Fermi and Planck scales we address the question of whether the mass of the Higgs boson mH can be predicted. For a positive gravity induced anomalous dimension Aλ>0 the running of the quartic scalar self interaction λ at scales beyond the Planck mass is determined by a fixed point at zero. This results in mH=mmin=126 GeV, with only a few GeV uncertainty. This prediction is independent of the details of the short distance running and holds for a wide class of extensions of the SM as well. For Aλ<0 one finds mH in the interval mmin<mH<mmax≃174 GeV, now sensitive to Aλ and other properties of the short distance running. The case Aλ>0 is favored by explicit computations existing in the literature.
    Comments: 8 pages, typos corrected, references added. Journal version
    Subjects: High Energy Physics - Theory (hep-th); General Relativity and Quantum Cosmology (gr-qc); High Energy Physics - Phenomenology (hep-ph)
    Journal reference: Phys.Lett.B683:196-200,2010
    DOI: 10.1016/j.physletb.2009.12.022
    Cite as: arXiv:0912.0208 [hep-th]
     
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