One-loop contributions to the decay in the Standard Model revisited [ATLAS Collaboration]
Khiem Hong Phan (Institute of Fundamental and Applied Sciences, Duy Tan University, , Ho Chi Minh City 700000, , Vietnam, Faculty of Natural Sciences, Duy Tan University, , Da Nang City 550000, , Vietnam); Dzung Tri Tran (University of Science Ho Chi Minh City, , 227 Nguyen Van Cu, District 5, Ho Chi Minh City, , Vietnam)
Abstract One-loop contributions to the decay H → ν$_{l}$̅ν$_{l}$γ with l = e, μ, τ within the Standard Model framework are revisited in this paper. We derive two representations for the form factors in this calculation. As a result, the computations are not only checked numerically by verifying the ultraviolet finiteness of the results but also confirming the ward identity of the amplitude. We find that the results have good stability with varying ultraviolet cutoff parameters as well as satisfying the ward identity. In phenomenological results, we study the partial decay widths for the decay channels in the two cases of the detected photon and invisible photon. Differential decay widths are also generated as a function of the energy of the final photon.