Abstract

Using the $\kappa$ framework, the constraints on the quartic interactions of Higgs with gauge bosons give a qualitative picture of consistency with the SM when the statistical yield is low. However, increasing statistics necessitates a more theoretically consistent framework to constrain such couplings. Therefore, using the framework of the non-linear Higgs Effective Field Theory (HEFT), I will talk about the radiative corrections to Higgs decays and discuss the current and future sensitivity to quartic Higgs gauge couplings using the single Higgs data. In the subsequent part of the talk, using the off-shell Higgs boson measurements in massive gauge boson pair production, I will study these processes in the context of the HEFT framework and discuss the constraints on the relevant Higgs boson non-linear interactions.

Finally, extending the HEFT leading order (LO) interactions with the axion-like particles (ALP) field, I will focus on the interactions that probe the singlet nature of Higgs. The Higgs decay phenomenology is discussed in the presence of ALP at LO. To obtain additional constraints, I will focus on the multi-top and multi-Higgs processes by modifying the Higgs two and three-point functions by considering ALP interactions beyond LO.