The Higgs boson as a self-similar system: Towards a new solution to the hierarchy problem

We propose a new solution to the hierarchy (naturalness) problem, concerning quantum corrections of the Higgs mass. Assuming the Higgs boson as a system with a self-similar internal structure, we calculate its two-point function and find that the quadratic divergence is replaced by a logarithmic one in the mass corrections. It is shown that the partonic-like distribution follows the Tsallis statistics and also high energy physics experimental data for the Higgs transverse momentum distribution can be described by a self-similar statistical model.