PoS - Proceedings of Science
Volume 284 - QCD Evolution 2016 (QCDEV2016) - Monday, May 30, 2016 - Afternoon 2
Helicity Evolution at Small $x$
Y. Kovchegov*, D. Pitonyak and M. Sievert
Full text: pdf
Pre-published on: February 10, 2017
Published on: March 28, 2017
We construct small-$x$ evolution equations which can be used to
calculate quark and anti-quark helicity TMDs and PDFs, along with
the $g_1$ structure function. These evolution equations resum powers
of $\as \, \ln^2 (1/x)$ in the polarization-dependent evolution
along with the powers of $\as \, \ln (1/x)$ in the unpolarized
evolution which includes saturation effects. The equations are
written in an operator form in terms of polarization-dependent
Wilson line-like operators. While the equations do not close in
general, they become closed and self-contained systems of non-linear
equations in the large-$N_c$ and large-$N_c \, \& \, N_f$ limits.
DOI: https://doi.org/10.22323/1.284.0008
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