Higher Order Dilaton Interactions in the Nearly Conformal Limit of the Standard Model

Abstract

We investigate the Standard Model in the nearly conformal limit, in which conformal symmetry is broken only by the dilatation anomaly, through a hierarchy of anomalous Ward identities for the divergence of its dilatation current. In this approximation, the identities allow to extract the coupling of the dilaton to the trace anomaly, which we compute up to the quartic order in the conformal breaking scale. Our approach can be easily extended to discuss the anomaly contributions to the dilaton effective action to an arbitrarily high order. They allow to make a distinction between the Higgs and a dilaton at a phenomenological level.

11 pages, 1 Figure. Accepted for publication on Phys. Lett. B

References in corpus (5)

• Light scalar at LHC: the Higgs or the dilaton?
• Conformal Symmetry and the Standard Model
• Quantum scale invariance, cosmological constant and hierarchy problem
• Gravity and the Neutral Currents: Effective Interactions from the Trace Anomaly
• Dilaton Interactions and the Anomalous Breaking of Scale Invariance of the Standard Model

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