A Model Construction of Self-similarity based Double Parton Distribution Functions for proton-proton collision at LHC

Abstract

We construct a model for double parton distribution functions (dPDFs) based on the notion of self-similarity, pursued earlier for small \textit{x} physics at HERA. The most general form of dPDFs contains total thirteen parameters to be fitted from data of proton-proton collision at LHC. It is shown that the constructed dPDF does not factorize into two single PDFs in conformity with QCD expectation, and it satisfies the condition that at the kinematic boundary $x_1+x_2=1$ (where $x_1$ and $x_2$ are the longitudinal fractional momenta of two partons), the dPDF vanishes.

12 pages, 2 figures, Accepted for publication in Int. J. Mod. Phys. A

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• The four jet production at LHC and Tevatron in QCD
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• Double Parton Correlations in the Bag Model
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Cited by in corpus (4)

• Momentum Fractions carried by quarks and gluons in models of proton structure functions at small $x$
• Proton structure functions at low $x$: the Fractal distributions
• Froissart bound and self-similarity based models of proton structure functions
• An overview of scale invariance in proton structure with holographic insights