Self-similarity based model of double parton distribution functions at LHC

摘要

The notion of self-similarity, pursued earlier for small x physics at HERA, is used to construct a model for double parton distribution functions (dPDFs) at small x1 and x2, the longitudinal fractional momenta of two partons. A necessary input to such a theoretical approach is the parton distribution functions (PDFs). In this model, the most general form of dPDF is found to have total thirteen parameters to be fitted from LHC data. We show that the constructed dPDF does not factorize into two single PDFs in conformity with QCD expectation and it vanishes at the kinematic boundary.