We had two papers yesterday making big claims in the realm of minimal BSM theory.(adsbygoogle = window.adsbygoogle || []).push({});

http://arxiv.org/abs/1803.08907

Conformal symmetry: towards the link between the Fermi and the Planck scales

Mikhail Shaposhnikov, Andrey Shkerin

(Submitted on 23 Mar 2018)

If the mass of the Higgs boson is put to zero, the classical Lagrangian of the Standard Model (SM) becomes conformally invariant (CI). Taking into account quantum non-perturbative QCD effects violating CI leads to electroweak symmetry breaking with the scale v∼Λ_{QCD}∼100 MeV which is three orders of magnitude less than it is observed experimentally. Depending on the mass of the top quark, the radiative corrections may lead to another minimum of the effective potential for the Higgs field with v≳M_{P}, where M_{P}is the Planck mass, at least 16 orders of magnitude more than it is observed. We explore yet another source of CI breaking associated with gravity. We suggest a non-perturbative mechanism that can reproduce the observed hierarchy between the Fermi and the Planck scales, by constructing an instanton configuration contributing to the vacuum expectation value of the Higgs field. The crucial role in this effect is played by the non-minimal coupling of the Higgs field to the Ricci scalar and by the approximate Weyl invariance of the theory for large values of the Higgs field.

http://arxiv.org/abs/1803.08683

The Redshift-Dependence of Radial Acceleration: Modified Gravity versus Particle Dark Matter

Sabine Hossenfelder, Tobias Mistele

(Submitted on 23 Mar 2018)

Modified Newtonian Dynamics has one free parameter and requires an interpolation function to recover the normal Newtonian limit. We here show that this interpolation function is unnecessary in a recently proposed covariant completion of Erik Verlinde's emergent gravity, and that Verlinde's approach moreover fixes the function's one free parameter. The so-derived correlation between the observed acceleration (inferred from rotation curves) and the gravitational acceleration due to merely the baryonic matter fits well with data. We then argue that the redshift-dependence of galactic rotation curves could offer a way to tell apart different versions of modified gravity from particle dark matter.

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# A Shaposhnikov and Hossenfelder, Higgs and MOND

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