Kavli Affiliate: Feng Yuan
| First 5 Authors: Paul Caucal, Paul Caucal, , ,
| Summary:
We revisit the calculation of the next-to-leading order (NLO) corrections to
dijet production in electron-ion collisions at small $x$. We focus on the
back-to-back configuration where the relative transverse momentum $P_perp$ of
the measured jets is much larger than both their momentum imbalance $K_perp$
and the target saturation momentum $Q_s(x,A)$. In this regime, we present for
the first time a complete calculation of the real NLO corrections at leading
power in $1/P_perp$. Our result exhibits TMD factorisation, with the same hard
factor as at tree-level and a NLO correction to the Weisz"acker-Williams (WW)
gluon transverse momentum dependent (TMD) distribution which involves four
Wilson-line operators. By studying different kinematical regimes for $K_perp$
and for the radiated gluon, we recover all the quantum evolutions that were
previously identified for this process at NLO: the B-JIMWLK high-energy
evolution and the CSS evolution of the gluon WW TMD, and the DGLAP evolution of
the gluon PDF. When both $K_perp$ and the transverse momentum transferred by
the target are large compared to $Q_s$, all the Wilson-line operators boil down
to the unintegrated gluon distribution and our NLO result for the gluon TMD can
be used to isolate the transverse-momentum dependent gluon splitting function.
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