Abstract
We present a new solution to the hierarchy problem, where the Higgs boson mass is at its observed electroweak value because such a patch inflates the most in the early Universe. If the Higgs boson mass depends on a field undergoing quantum fluctuations during inflation, then inflation will fill the Universe with the Higgs boson mass that corresponds to the largest vacuum energy. The hierarchy problem is solved if the maximum vacuum energy occurs for the observed Higgs boson mass. We demonstrate this notion with a proof-of-principle model containing an axion, a modulus field and the Higgs boson, and show that inflation can be responsible for the weak scale.
Highlights
We present a new solution to the hierarchy problem, where the Higgs boson mass is at its observed electroweak value because such a patch inflates the most in the early Universe
We demonstrate this notion with a proof-of-principle model containing an axion, a modulus field and the Higgs boson, and show that inflation can be responsible for the weak scale
During inflation we require that the axion a rolls down the potential during inflation, so that when the barriers release the axion potential energy significantly lowers, Eqs. (7) and (8), that the fluctuon φ quantum fluctuates up the potential, Eq (10), that inflationary growth drives the distribution towards the maximum potential energy, Eq (11), and that the likelihood of a patch with Higgs boson mass much larger than the observed value is close to nil, Eq (13)
Summary
We present a new solution to the hierarchy problem, where the Higgs boson mass is at its observed electroweak value because such a patch inflates the most in the early Universe. The hierarchy problem is solved if the maximum vacuum energy occurs for the observed Higgs boson mass. Potential is constructed such that the maximal vacuum energy occurs when the Higgs boson mass fits the observed value in our Universe.
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