Self-similarity of proton spin and asymmetry of jet production

Self-similarity of jet production in polarized p + p collisions is studied. The concept of z-scaling is applied for description of proton spin. New data on the double longitudinal spin asymmetry, ALL, of inclusive jets produced in proton-proton collisions at √s = 200 GeV measured by the STAR Collaboration at RHIC are analyzed in the framework of z-scaling approach. A hypothesis of self-similarity and fractality of the proton spin structure are formulated. A possibility to extract information on spin-dependent fractal dimensions of proton from the asymmetry of jet production is justified. The spin-dependent fractal dimension of proton in process \(\vec p + \vec p \to jet + X\) is estimated.