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arXiv · 1511.08439

Transverse-momentum-dependent quark splitting functions in $k_T$-factorization: real contributions

Oleksandr Gituliar·Martin Hentschinski·Krzysztof Kutak
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Abstract

We calculate transverse momentum dependent quark splitting kernels $P_{gq}$ and $P_{qq}$ within $k_T$-factorization, completing earlier results which concentrated on gluon splitting functions $P_{gg}$ and $P_{qg}$. The complete set of splitting kernels is an essential requirement for the formulation of a complete set of evolution equations for transverse momentum dependent parton distribution functions and the development of corresponding parton shower algorithms.

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Oleksandr Gituliar, Martin Hentschinski, Krzysztof Kutak. 2015-11-26. Transverse-momentum-dependent quark splitting functions in $k_T$-factorization: real contributions. https://doi.org/10.1007/jhep01(2016)181

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