5–10 Sept 2021
Online
Europe/Lisbon timezone

Helicity Evolution at Small x: the Single-Logarithmic Contribution

5 Sept 2021, 15:13
15m
Online

Online

Talk QCD, spin physics and chiral dynamics QCD, spin physics and chiral dynamics

Speaker

Yossathorn Tawabutr (The Ohio State University)

Description

We calculate single-logarithmic corrections to the small-$x$ flavor-singlet helicity evolution equations derived recently in the double-logarithmic approximation. The new single-logarithmic part of the evolution kernel sums up powers of $\alpha_s\ln(1/x)$, which are an important correction to the dominant powers of $\alpha_s\ln^2(1/x)$ summed up previously by the double-logarithmic kernel at small values of Bjorken $x$ and with $\alpha_s$ the strong coupling constant. The single-logarithmic terms arise separately from either the longitudinal or transverse momentum integrals. Consequently, the evolution equations we derive simultaneously include the small-$x$ evolution kernel and the leading-order polarized DGLAP splitting functions. We further enhance the equations by calculating the running coupling corrections to the kernel.

Primary authors

Yossathorn Tawabutr (The Ohio State University) Prof. Yuri Kovchegov (Ohio State University) Andrey Tarasov (The Ohio State University)

Presentation materials