Remarks on analyticity and unitarity in the presence of a strongly interacting light Higgs

Abstract

Applying the three axiomatic criteria of Lorentz invariance, analyticity and unitarity to scattering amplitudes involving the Goldstone bosons and the Higgs boson, we derive a general sum rule for the Strongly Interacting Light Higgs Lagrangian. This sum rule connects the IR coefficient c H to the UV properties of the theory, and can be used, for instance, to capture the role of resonances in processes like V L V L → hh and V L V L → V L V L, with V = W ±, Z. © 2014 The Author(s).