Momentum sum rule and factorization of double parton distributions
High Energy Physics - Phenomenology
2023-03-29 v2
Abstract
We show that the momentum sum rule is a necessary condition for factorization of double parton distributions into a product of two single parton distributions for small values of the parton momentum fractions x and large enough values of the evolution scale Q. This is a somewhat surprising result since the momentum sum rule involves integration over all values of the momentum fraction. In essence, the momentum sum rule provides a proper relation between the double and single parton distributions, which is necessary for the small x factorization at large .
Keywords
Cite
@article{arxiv.2212.02289,
title = {Momentum sum rule and factorization of double parton distributions},
author = {Krzysztof Golec-Biernat and Anna M. Staśto},
journal= {arXiv preprint arXiv:2212.02289},
year = {2023}
}
Comments
11 pages, 4 figures, version published in Phys. Rev. D