Seminarium Teorii Oddziaływań Elementarnych

I will present results concerning the stability of the Higgs effective potential in curved spacetime. To this end, the gauge-less top-Higgs sector with an additional scalar field was considered. Using the heat kernel method the one-loop effective potential for the model at hand was derived. It was revealed that the lowest order nontrivial gravity induced terms are proportional to the square of the Riemman and the Ricci tensors. Next, the changes induced by these terms on the behavior of the effective potential in the small field region (electrovacuum minimum) and on the effective Higgs quartic coupling in the large field region were analyzed.