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A Recent papers on particle masses

  1. Dec 12, 2016 #1
    http://arxiv.org/abs/1612.03825
    Towards a new paradigm for quark-lepton unification
    Christopher Smith
    (Submitted on 12 Dec 2016)
    My comments: This is my favorite. It is a modification of Minimal Flavor Violation (MFV), a popular philosophy which posits that any BSM couplings may only involve powers of the yukawa matrices. Here the author instead supposes the existence of some functional relation connecting quark and lepton yukawas, and devises criteria for producing desired effects. The standouts for me are (1) connecting the heavy top quark to light leptons (2) the relationship between MFV and holomorphy.

    http://arxiv.org/abs/1612.03069
    Gauge hierarchy problem in asymptotically safe gravity--the resurgence mechanism
    Christof Wetterich, Masatoshi Yamada
    (Submitted on 9 Dec 2016)
    My comments: In a way this is a sequel to the famous 2006 paper which predicted the Higgs boson mass. Here the topic is the hierarchy problem, the smallness of the Higgs mass relative to the Planck scale. Warning, what the authors call "resurgence" has no connection to the concept of resurgence from complex analysis, recently a hot topic in quantum field theory.

    http://arxiv.org/abs/1611.09797
    Radiatively generated hierarchy of lepton and quark masses
    A. E. Cárcamo Hernández, Sergey Kovalenko, Ivan Schmidt
    (Submitted on 29 Nov 2016)
    My comments: In this paper, a judicious choice of symmetries and representations ensures that only the top quark has a tree-level mass. All other fermions get their masses from loop effects. It is not elegant, but it is a proof of concept.
     
  2. jcsd
  3. Dec 13, 2016 #2
    mitchell porter

    if LHC reports no evidence of SUSY in 2016 run or compositeness in the higgs, or extra dimensions, does this support


    http://arxiv.org/abs/1612.03069
    Gauge hierarchy problem in asymptotically safe gravity--the resurgence mechanism
    Christof Wetterich, Masatoshi Yamada

    as the solution to the hiearchy problem?
     
  4. Dec 23, 2016 #3
    There is a mildly notorious paper (Bardeen 1995) which introduced the idea that there is no finetuning problem for the standard model Higgs, because the problematic quadratic divergences that have to be cancelled, can be made to look tamely logarithmic in a different series expansion. I am wondering if Wetterich has something similar in mind - in section IV, when this issue is finally addressed, the authors just blithely say "no fine-tuning problem exists from the point of view of the renormalization group" and cite a bunch of old papers by Wetterich. I can't really judge this paper until I understand exactly what the argument is.
     
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