### Abstract

The gravitational mass-shift effect is investigated in the framework of the standard model with the energy cutoff regularization both for stationary and nonstationary backgrounds at the one-loop level. The problem of singularity of the effective potential of the Higgs field on the horizon of a black hole, which was reported earlier, is resolved. The equations characterizing the properties of a vacuum state are derived and solved in a certain approximation for the Schwarzschild black hole. The gravitational mass-shift effect is completely described in this case. The behavior of masses of the massive particles of the standard model depends on the value of the Higgs boson mass in a flat spacetime. If the Higgs boson mass in a flat spacetime is less than 263.6 GeV then a mass of any massive particle approaching a gravitating object grows. If the Higgs boson mass in a flat spacetime is greater than or equal to 278.2 GeV, the masses of all the massive particles decrease in a strong gravitational field. The Higgs boson masses lying between these two values prove to lead to instability, at least at the one-loop level, and so they are excluded. It turns out that the vacuum possesses the same properties as an ultrarelativistic fluid in a certain approximation. The expression for the entropy and enthalpy densities and the pressure of this fluid are obtained. The sound speed in this fluid is also derived.

Original language | English |
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Article number | 044008 |

Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 85 |

Issue number | 4 |

DOIs | |

Publication status | Published - 6 Feb 2012 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Physical Review D - Particles, Fields, Gravitation and Cosmology*,

*85*(4), [044008]. https://doi.org/10.1103/PhysRevD.85.044008