Abstract
The Higgs boson may well be a composite scalar with a finite extension in space. Owing to the momentum dependence of its couplings the imprints of such a composite pseudo Goldstone Higgs may show up in the tails of various kinematic distributions at the LHC, distinguishing it from an elementary state. From the bottom up we construct the momentum dependent form factors to capture the interactions of the composite Higgs with the weak gauge bosons. We demonstrate their impact in the differential distributions of various kinematic parameters for the $pp\rightarrow Z^*H\rightarrow l^+l^-b\bar{b}$ channel. We show that this channel can provide an important handle to probe the Higgs' substructure at the HL-LHC.
Highlights
Since its discovery [1,2], the properties of the Higgs particle have been under intense theoretical and experimental scrutiny
We demonstrate that the high luminosity Large Hadron Collider (LHC) (HL-LHC) [44] can explore a significant portion of the parameter space where the momentum dependence of the Higgs coupling implies pronounced deviation from the Standard Model (SM) predictions in the differential distribution of kinematic parameters
If we identify m1 1⁄4 m2 1⁄4 mρ ≲ 4πf, the effective hVV coupling obtained from the strongly interacting light Higgs (SILH) Lagrangian can be mapped into the leading order expansion ∼Oðp2=m2ρÞ of the form factor, as shown in Appendix
Summary
Since its discovery [1,2], the properties of the Higgs particle have been under intense theoretical and experimental scrutiny. We demonstrate that the high luminosity LHC (HL-LHC) [44] can explore a significant portion of the parameter space where the momentum dependence of the Higgs coupling implies pronounced deviation from the SM predictions in the differential distribution of kinematic parameters. This provides an interesting handle to explore the Higgs compositeness, even if the compositeness scale lies just beyond the LHC reach. III, we perform the collider analysis to demonstrate the importance of the differential distributions in probing the composite nature of the Higgs boson
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