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

2013/10/31 by Alfredo Urbano
Mathematics · Physics and Astronomy · #Amplitude #Axiom #Black Holes and Theoretical Physics #Boson #Higgs boson #Lorentz covariance #Lorentz transformation #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum mechanics #Scattering amplitude #Unitarity #hep-ph #hep-th

paper · pdf · doi:10.1007/jhep06(2014)060

14 pages, two column format. v2: references added, one figure added, typos fixed. v3: references added. v4: minor changes

arxiv created 2014/04/25 · openalex publication_date 2014/06/01 · arxiv updated 2015/06/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations

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• Structure of Phenomenological Lagrangians. II