self-similar properties of the proton structure at low x within the xfitter framework

The structure of the proton exhibits fractal behavior at low x, where x is the fraction of the proton’s momentum carried by the interacting partons. this fractal behavior is characterized by self-similar properties at different scales and can be quantified using the concept of fractal dimension. an investigation into the fractal properties of the proton structure at low x is critical for understanding the fundamental properties of the strong force and developing a more comprehensive understanding of the hadron structure. fractals, characterized by self-similar patterns across scales, demonstrate a direct correlation between their fractal dimension and entropy, where higher fractal dimensions correspond to increased informational content. furthermore, it is essential for designing high-energy physics experiments and developing more accurate models of subatomic particle interactions. this paper has a fresh look at the self-similar properties of the proton structure at low x. our study involves the use of the xfitter framework to parameterize the proton structure functions with a fractal formalism at low x. we also examine how the inclusion of new data affects the results of our analysis.