The radiative Higgs decays h → γl + l − with l = e, µ and τ are analyzed in the standard model using m h = 125 GeV. Both tree and one-loop diagrams for the processes are evaluated. In addition to their decay rates and dilepton invariant mass distributions, we focus on the forward-back asymmetries in these modes. Our calculation shows that the forward-backward asymmetries in h → γe + e − and h → γµ + µ − could be up to 10 −2 while in the τ + τ − final state, these asymmetries are below 1%. Thus the forward-backward asymmetries in h → γl + l − might be interesting observables in the future precise experiments both to test our understanding of Higgs physics in the standard model and to probe the novel Higgs dynamics in new physics scenarios. *

Using the Higgs boson mass m h ¼ 125 GeV, the radiative Higgs decays h → γν lνl with ν l ¼ ν e , ν μ , and ν τ are analyzed in the standard model. Our calculation shows that the inclusive width of these processes, i.e., the sum of Γðh → γν lνl Þ for ν l ¼ ν e , ν μ , ν τ , is 1.41 keV, which is about 15% of Γðh → γγÞ. Therefore, the observation of these channels in future precise experiments may provide some useful information on the Higgs physics in both the standard model and its possible extensions.

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By further examining the symmetry of external momenta and masses in Feynman integrals, we fulfilled the method proposed by Battistel and Dallabona, and showed that recursion relations in this method can be applied to simplify Feynman integrals directly.

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