Power-law distributions are routinely used to describe hadron spectra originated in high-energy collisions (proton on proton, lead on lead and so on). It has been extensively shown that the power-law distributions inspired by the nonadditive statistics proposed by Tsallis describe experimental data substantially well. There have been many efforts to understand the physical scenarios that may give rise to these distributions. There are also ongoing endeavours to connect the phenomenological nonadditive distributions to the established formalisms of physics, like statistical mechanics.

In the present report, starting from the generalized nonadditive entropy, we describe how the phenomenological distributions may be obtained from nonadditive statistical mechanics. We review the divergence problems encountered in this effort. A theoretical model to circumvent the issue will be discussed. This model proposes a novel bosonic nonadditive distribution that, according to some preliminary analyses, efficiently describes particle distributions in high-energy collisions. The effects of the distribution on the phenomenology of high-energy collisions will also be discussed.