Gravitational mass-shift effect in the Standard Model (1107.4714v2)

Abstract: The gravitational mass-shift effect is investigated in the framework of the standard model with the energy cutoff regularization both for stationary and non-stationary backgrounds at the one-loop level. The problem concerning singularity of the effective potential for the Higgs field on the horizon of a black hole, which was reported earlier, is resolved. The equations characterizing the properties of the 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 masses of the massive particles in the standard model are shown to depend on the value of the Higgs boson mass in the flat spacetime. If the Higgs boson mass in the flat spacetime is less than 263.6 GeV, then the mass of any massive particle approaching a gravitating object grows. If the Higgs boson mass in the 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 in 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 pressure, the entropy and enthalpy densities of this fluid are obtained. The sound speed in this fluid is also derived.