Seminarium Kosmologia i Fizyka Cząstek

I will describe a modified version of the dimensional regularization of a classically scale invariant theory, motivated by the requirement to preserve scale invariance at the quantum level. The role of the subtraction scale $\mu$ is played by a dynamic scalar field. This field is assumed to have non-zero VEV thus triggering spontaneous breakdown of the scale symmetry which in turn triggers EWSB. As a consequence, in this approach there is no anomaly associated with the broken scale invariance. On the other hand, the method generates non-polynomial effective operators to the original Lagrangian. Its intriguing consequence is a modification of renormalization group and Callan-Symanzik equations, relative to their form in a similar model regularized in the usual way with $\mu$=constant (field-independent).