A threaded connection used in exploration and operation of hydrocarbon wells includes first and second tubular components, including respective male and female ends and threaded zones. The threaded zones include respective male and female threads, the threads including a root, a crest, a stabbing flank, and a load flank. A groove is provided in the load flank of the threaded zone of the female end and/or the male end respectively, adjacent to the root, and a boss projects axially from the load flank of the threaded zone of the male end and/or respectively from the female end adjacent to the crest, the boss including a convex and concave surfaces. The boss is housed in the groove with, in a connected state, a radial clearance between the concave surface and the groove and an axial clearance between the end of the boss and the bottom of the groove.