Statefinder hierarchy model for the Barrow holographic dark energy

In this paper, we have used the state finder hierarchy for Barrow holographic dark energy (BHDE) model in system of FLRW Universe. We apply two DE diagnostic tools to determine ?BHDE various estimations ?. The first tool is which studied S3(1) S4(1), S3(2) S4(2) and second composite null (CND) trajectories (S3(1)??), (S4(1)??), (S3(2)??)(S4(2)??) are discussed, where ? fractional growth parameter. infrared cut-off here taken from Hubble horizon. Finally, together with rate matter perturbation, plot that determines a diagnosis can differentiate emerging ?CDM. addition, combination parameter has been shown be useful diagnosing BHDE, particularly breaking degeneracy different values model.