# The Selfish Higgs

@article{Giudice2019TheSH, title={The Selfish Higgs}, author={Gian Francesco Giudice and Alexandros A. Kehagias and Antonio Walter Riotto}, journal={Journal of High Energy Physics}, year={2019} }

Abstract
We propose a mechanism to solve the Higgs naturalness problem through a cosmological selection process. The discharging of excited field configurations through membrane nucleation leads to discrete jumps of the cosmological constant and the Higgs mass, which vary in a correlated way. The resulting multitude of universes are all empty, except for those in which the cosmological constant and the Higgs mass are both nearly vanishing. Only under these critical conditions can inflation…

## 30 Citations

### The selfish Higgs and reheating

- PhysicsJournal of High Energy Physics
- 2020

We consider the cosmological relaxation of the Higgs mass and the cosmological constant due to the four-form fluxes in four dimensions. We present a general class of models with a singlet scalar…

### Relaxation of Higgs mass and cosmological constant with four-form fluxes and reheating

- PhysicsJournal of High Energy Physics
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We consider the most general effective action for the four-form fluxes in the Standard Model coupled to gravity. The Higgs mass parameter can be relaxed to a correct value due to the four-form…

### Relaxing the Higgs mass and its vacuum energy by living at the top of the potential

- PhysicsPhysical Review D
- 2020

We consider an ultra-light scalar coupled to the Higgs in the presence of heavier new physics. In the electroweak broken phase the Higgs gives a tree-level contribution to the light-scalar potential,…

### The Higgs Field and Early Universe Cosmology: A (Brief) Review

- PhysicsPhysics
- 2020

We review and discuss recent work exploring the implications of the Higgs field for early universe cosmology, and vice versa. Depending on the model under consideration, the Higgs may be one of a few…

### The top way to relax the Higgs mass and its vacuum energy

- Physics
- 2020

We consider an ultra-light scalar coupled to the Higgs in the presence of heavier new physics. In the electroweak broken phase the Higgs gives a tree-level contribution to the light-scalar potential,…

### Sliding naturalness: cosmological selection of the weak scale

- PhysicsJournal of High Energy Physics
- 2022

Abstract
We present a cosmological solution to the electroweak hierarchy problem. After discussing general features of cosmological approaches to naturalness, we extend the Standard Model with two…

### Higgs Squared

- Physics
- 2022

: We present a novel construction for a Higgs-VEV sensitive (HVS) operator, which can be used as a trigger operator in cosmic selection models for the electroweak hierarchy problem. Our operator does…

### Primordial black holes as dark matter through Higgs field criticality

- Physics
- 2020

We study the dynamics of a spectator Higgs field which stochastically evolves during inflation onto near-critical trajectories on the edge of a runaway instability. We show that its fluctuations do…

### Sliding Naturalness: New Solution to the Strong-CP and Electroweak-Hierarchy Problems.

- PhysicsPhysical review letters
- 2022

We present a novel framework to solve simultaneously the electroweak-hierarchy problem and the strong-CP problem. A small but finite Higgs vacuum expectation value and a small θ angle are selected…

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