Abstract
If the Higgs boson is a pseudo Nambu–Goldstone boson (PNGB), the hZγ contact interaction induced by the O(p4) invariants of the non-linear sigma model is free from its nonlinearity effects. The process h→Zγ can be used to eliminate the universal effects of heavy particles, which can fake the nonlinearity effects of the PNGB Higgs boson in the process h→V⁎V (V=W±, Z). We demonstrate that the ratio of the signal strength of h→Zγ and h→V⁎V is good to distinguish the signature of the PNGB Higgs boson from Higgs coupling deviations.
Highlights
Deciphering the nature of the Higgs boson is one of the major tasks of particle physics, and one can ask whether there is dynamics behind electroweak symmetry breaking (EWSB)
To probe the nonlinearity of the pseudo Nambu-Goldstone boson (PNGB) Higgs boson, we propose an observable R defined as the ratio of the signal strengths of the h → Zγ and h → V ∗V decay channels, μ(h → Zγ)
We demonstrate that the ratio R is sensitive only to nonlinearity of the PNGB Higgs boson in stronglycoupled models but not to the faking effects originating from unknown heavy particles
Summary
Deciphering the nature of the Higgs boson is one of the major tasks of particle physics, and one can ask whether there is dynamics behind electroweak symmetry breaking (EWSB). We demonstrate that the ratio R is sensitive only to nonlinearity of the PNGB Higgs boson in stronglycoupled models but not to the faking effects originating from unknown heavy particles. Another advantage is that R is independent of the single Higgs boson cross section and the Higgs boson width. With only the information of the group H in the IR, the NLσM of the PNGB Higgs boson can be constructed with the shift symmetry covariants DμH and Eμ [14, 15]. From the operators at the order of O(p2) and O(p4) of the NLσM, one can obtain the Higgs couplings to electroweak gauge bosons which respect the shift symmetry of the PNGB Higgs boson.
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