Gravitational mass-shift effect in the standard model

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.