### 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 |
---|---|

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

**Gravitational mass-shift effect in the standard model.** / Kazinski, P. O.

Research output: Contribution to journal › Article

*Physical Review D - Particles, Fields, Gravitation and Cosmology*, vol. 85, no. 4, 044008. https://doi.org/10.1103/PhysRevD.85.044008

}

TY - JOUR

T1 - Gravitational mass-shift effect in the standard model

AU - Kazinski, P. O.

PY - 2012/2/6

Y1 - 2012/2/6

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84857716809&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84857716809&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.85.044008

DO - 10.1103/PhysRevD.85.044008

M3 - Article

VL - 85

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 1550-7998

IS - 4

M1 - 044008

ER -