The feasibility for detection and distinguishing HNLs signals with neutrino signals in IceCube/KM3NeT neutrino telescopes were discussed andWe proposed a distinguishable double tracks events...Show moreThe feasibility for detection and distinguishing HNLs signals with neutrino signals in IceCube/KM3NeT neutrino telescopes were discussed andWe proposed a distinguishable double tracks events geometry and calculated the sensitivity curves by Mathematica. Comparison of the number of events at the lower boundary in KM3NET and CHARM experiments implied IceCube/KM3NeT has no potential for probing this kind of event. We also studied the full decay channels of HNLs and calculated the corresponding sensitivity curves in IceCube and CHARM experiments, excellent agreements were obtained by comparing the numeric sensitivity bounds with the analytic formulas. Further comparison of sensitivity curves of HNLs in both experiments indicates that IceCube has no superiority in HNLs detection. The methods to improve HNLs detection sensitivity in IceCube were also considered, where extension of working time is the most reliable way. Besides, IceCube sensitivity may exceed CHARM by increasing the detector area and/or decay volume length, thus, IceCube gen2 is prospective to contribute to HNLs detection.Show less