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- W3103268101 abstract "We determine the small-$x$ asymptotics of the gluon helicity distribution in a proton at leading order in perturbative QCD at large $N_c$. To achieve this, we begin by evaluating the dipole gluon helicity TMD at small $x$. In the process we obtain an interesting new result: in contrast to the unpolarized dipole gluon TMD case, the operator governing the small-$x$ behavior of the dipole gluon helicity TMD is different from the operator corresponding to the polarized dipole scattering amplitude (used in our previous work to determine the small-$x$ asymptotics of the quark helicity distribution). We then construct and solve novel small-$x$ large-$N_c$ evolution equations for the operator related to the dipole gluon helicity TMD. Our main result is the small-$x$ asymptotics for the gluon helicity distribution: $Delta G sim left( tfrac{1}{x} right)^{alpha_h^G}$ with $alpha_h^G = tfrac{13}{4 sqrt{3}} , sqrt{tfrac{alpha_s , N_c}{2 pi}} approx 1.88 , sqrt{tfrac{alpha_s , N_c}{2 pi}}$. We note that the power $alpha_h^G$ is approximately 20$%$ lower than the corresponding power $alpha_h^q$ for the small-$x$ asymptotics of the quark helicity distribution defined by $Delta q sim left( tfrac{1}{x} right)^{alpha_h^q}$ with $alpha_h^q = tfrac{4}{sqrt{3}} , sqrt{tfrac{alpha_s , N_c}{2 pi}} approx 2.31 , sqrt{tfrac{alpha_s , N_c}{2 pi}}$ found in our earlier work." @default.
- W3103268101 created "2020-11-23" @default.
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- W3103268101 date "2017-10-01" @default.
- W3103268101 modified "2023-10-18" @default.
- W3103268101 title "Small-x asymptotics of the gluon helicity distribution" @default.
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- W3103268101 doi "https://doi.org/10.1007/jhep10(2017)198" @default.
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