Dilaton Interactions and the Anomalous Breaking of Scale Invariance of the Standard Model

Understand

We discuss the main features of dilaton interactions for fundamental and effective dilaton fields.

• In particular, we elaborate on the various ways in which dilatons can couple to the Standard Model and on the role played by the conformal anomaly as a way to characterize their interactions.
• In the case of a dilaton derived from a metric compactification (graviscalar), we present the structure of the radiative corrections to its decay into two photons, a photon and a $Z$, two $Z$ gauge bosons and two gluons, together with their renormalization properties.
• We prove that, in the electroweak sector, the renormalization of the theory is guaranteed only if the Higgs is conformally coupled.