# Gravity and the Stability of the Higgs Vacuum.

@article{Burda2015GravityAT, title={Gravity and the Stability of the Higgs Vacuum.}, author={Philipp Burda and Ruth Gregory and Ian G. Moss}, journal={Physical review letters}, year={2015}, volume={115 7}, pages={ 071303 } }

We discuss the effect of gravitational interactions on the lifetime of the Higgs vacuum where generic quantum gravity corrections are taken into account. Using a "thin-wall" approximation, we provide a proof of principle that small black holes can act as seeds for vacuum decay, spontaneously nucleating a new Higgs phase centered on the black hole with a lifetime measured in millions of Planck times rather than billions of years. The corresponding parameter space constraints are, however…

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## References

SHOWING 1-10 OF 14 REFERENCES

### Quantum Aspects of Black Holes

- Physics
- 1992

This review is based on lectures given at the 1992 Trieste Spring School on String Theory and Quantum Gravity and at the 1992 TASI Summer School in Boulder, Colorado.

### Phys

- Rev. Lett. 87, 161602
- 2001

### Curtis G

- and S. R. Coleman, Phys.Rev. D16, 1762
- 1977

### Phys

- Rev. D 21, 3305
- 1980

### JHEP 1403

- 081
- 2014

### Phys

- Lett. B 429, 263
- 1998

### Phys

- Rev. D43, 3112
- 1991

### and G

- Dvali, Phys.Lett. B429, 263
- 1998

### Phys

- Rev. D35, 1161
- 1987

### Annals Phys

- 172, 304
- 1986