One-loop formulas for H → Zν l ν l for l = e, µ, τ in 't Hooft-Veltman gauge* *This research is funded by Vietnam National Foundation for Science and Technology Development (NAFOSTED) under the grant number (103.01-2019.346)

Abstract

In this paper, we present analytical results for one-loop contributions to the decay processes (for ). The calculations are performed within the Standard Model framework in the 't Hooft-Veltman gauge. One-loop form factors are then written in terms of scalar one-loop functions in the standard notations of . As a result, one-loop decay rates for the decay channels can be evaluated numerically by using the package. Furthermore, we analyze the signals of via the production processes , including the initial beam polarizations at future lepton colliders. The Standard Model backgrounds, such as the processes , are also examined in this study. Numerical results indicate that one-loop corrections make contributions of approximately 10% to the decay rates. These are sizeable contributions and should be taken into account at future colliders. We show that the signals are clearly visible at the center-of-mass energy GeV and are difficult to probe in higher-energy regions owing to the dominant backgrounds.