Abstract
It is shown that nonminimal coupling between the Standard Model (SM) Higgs field and spacetime curvature, present already at the renormalizable level, can be fine-tuned to stabilize the electroweak scale against power-law ultraviolet divergences. The nonminimal coupling acts as an extrinsic stabilizer with no effect on the loop structure of the SM, if gravity is classical. This novel fine-tuning scheme, which could also be interpreted within Sakharov's induced gravity approach, works neatly in extensions of the SM involving additional Higgs fields or singlet scalars.
Highlights
The discovery of a fundamental scalar [1] by ATLAS and CMS experiments, and compatibility of this scalar with the Standard Model (SM) Higgs boson [1, 2] prioritized the disastrous UV sensitivity of the Higgs boson mass [3, 4] as the foremost problem [5] to be resolved
For m2H < 0 and λH > 0, is completely destabilized by the additive power-law quantum corrections δm2H ∝ Λ2UV [4], where ΛUV ≫ v is the UV scale which can be as high as MP l if the SM is valid all the way up to the gravitational scale
The present paper will point out an exception to this inevitable destabilization by noting that the Higgs field, being a doublet of fundamental scalars, necessarily develops the nonminimal Higgs-curvature interaction [7]
Summary
The discovery of a fundamental scalar [1] by ATLAS and CMS experiments, and compatibility of this scalar with the SM Higgs boson [1, 2] prioritized the disastrous UV sensitivity of the Higgs boson mass [3, 4] as the foremost problem [5] to be resolved. Ζ m2H MP2 l and this new VEV can be stabilized by fine-tuning ζ to counterbalance the quadratic divergences δm2H ∝ Λ2UV with the quartic divergences δV0 ∝ Λ4UV . Quantum corrections to the SM parameters are independent of ζ if gravity is classical, and ζ acts as a gyroscope that stabilizes the electroweak scale against violent UV contributions.
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