No weak scale triggers exist in the SMEFT up to dimension six (and likely eight) that can solve the hierarchy problem far above the weak scale.
Large Hierarchies from Attractor Vacua
3 Pith papers cite this work. Polarity classification is still indexing.
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abstract
We discuss a mechanism through which the multi-vacua theories, such as String Theory, could solve the Hierarchy Problem, without any UV-regulating physics at low energies. Because of symmetry the number density of vacua with a certain hierarchically-small Higgs mass diverges, and is an attractor on the vacuum landscape.The hierarchy problem is solved in two steps. It is first promoted into a problem of the super-selection rule among the infinite number of vacua (analogous to theta-vacua in QCD), that are finely scanned by the Higgs mass. This rule is lifted by heavy branes, which effectively convert the Higgs mass into a dynamical variable. The key point is that a discrete "brane-charge-conjugation" symmetry guarantees that the fineness of the vacuum-scanning is set by the Higgs mass itself. On a resulting landscape in all, but a measure-zero set of vacua the Higgs mass has a common hierarchically-small value. In minimal models this value is controlled by the QCD scale and is of the right magnitude. Although in each particular vacuum there is no visible UV-regulating low energy physics, the realistic models are predictive. For example, we show that in the minimal case the "charge conjugation" symmetry is automatically a family symmetry, and imposes severe restrictions on quark Yukawa matrices.
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background 1representative citing papers
White dwarf mass-radius data exclude large parameter space for ultralight scalars quadratically coupled to fermions by predicting forbidden radius gaps and mass shifts toward the Chandrasekhar limit or altered maximum masses.
A mechanism is proposed where the CP violating phase relaxes in discrete steps via nucleation of membranes that discharge the magnetic dual of a 4-form flux, with bubbles colliding and percolating near the chiral symmetry breaking scale during radiation domination.
citing papers explorer
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Weak Scale Triggers in the SMEFT
No weak scale triggers exist in the SMEFT up to dimension six (and likely eight) that can solve the hierarchy problem far above the weak scale.
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$\phi$-Dwarfs: White Dwarfs probe Quadratically Coupled Scalars
White dwarf mass-radius data exclude large parameter space for ultralight scalars quadratically coupled to fermions by predicting forbidden radius gaps and mass shifts toward the Chandrasekhar limit or altered maximum masses.
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A Quantal Theory of Restoration of Strong CP Symmetry
A mechanism is proposed where the CP violating phase relaxes in discrete steps via nucleation of membranes that discharge the magnetic dual of a 4-form flux, with bubbles colliding and percolating near the chiral symmetry breaking scale during radiation domination.