Seminarium "Teoria cząstek elementarnych i kosmologia"

Renormalization Group Equations (RGEs) govern scale dependence of couplings in Quantum Field Theories (QFTs). Instead of determining them by performing loop calculations in each particular model under consideration, one can begin with deriving RGEs in generic classes of QFTs. Results for particular models are then obtained by substitutions. At the renormalizable level, with operators up to dimension four in the Lagrangian, such a program has been already completed up to four loops. However, in Effective Field Theories (EFTs), where higher-dimensional operators are present, no generic results are known even at the one-loop level. I am going to present the current status of one-loop RGE calculations in a generic class of EFTs with operators up to dimension six. I will also comment on the possibility of proceeding with the computations beyond one loop.