Evolution equations for the double parton distributions. Initial conditions and transverse momentum dependence
1 Department of Physics, The Pennsylvania State University, University Park, PA 16802, U.S.A.
2 H. Niewodnicza´ nski Institute of Nuclear Physics, Polish Academy of Sciences, 31-342 Kraków, Poland
3 Faculty of Mathematics and Natural Sciences, University of Rzeszów, 35-959 Rzeszów, Poland
Published online: 12 April 2017
In the first part of this contribution we discuss the problem of the initial conditions for the evolution of double parton distribution functions (PDFs). We show that one can construct a framework based on the expansion in terms of the Dirichlet functions in which both single and double PDFs satisfy momentum sum rules. In the second part, we propose how to include the transverse momentum dependence for the double parton distribution functions using the extension of the Kimber-Martin-Ryskin framework previously applied to the single PDFs.
© The Authors, published by EDP Sciences, 2017
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