Inclusive jet production on the nucleus in the perturbative QCD with $N_c\to\infty$

TL;DR

This paper analyzes inclusive jet production on nuclei in perturbative QCD at large $N_c$ by employing the hA amplitude expressed as a sum of BFKL pomeron fan diagrams. The single-jet rate scales as $I(y,k,b)\sim e^{\Delta y_1}$ with an $A^{2/9}$ enhancement after integrating over impact parameter, yielding a multiplicity $\mu(y)\sim A^{2/9}e^{\Delta Y}$; the double-jet rate contains a dominant contribution from emission after the first pomeron splitting, giving $\mu_b\sim A^{4/9}e^{2\Delta Y}$ and leading to energy-dependent, sign-changing jet correlations. The correlations grow and eventually become positive at high energy, reflecting a strong double-pomeron exchange component, while the gluon density in the nucleus is peaked at high momenta, mitigating diffusion to infrared scales and supporting perturbative treatment. Overall, jet multiplicities in nucleus collisions scale as $A^{2/9}$ and rise with energy as $s^{\Delta}$, with double-jet correlations enhanced by the $e^{2\Delta Y}$ factor and AGK-consistent contributions.

Abstract

Using the recently found hA amplitude, single and double inclusive jet production rates on the nucleus are studied in the perturbative QCD with $N_c\to\infty$. Jet multiplicities are found to grow with $A$ and energy as $A^{2/9}s^Δ$ where $Δ$ is the BFKL intercept. Long range correlations are found to behave as $A^{4/9}s^{2Δ}$ and change from negative to positive at a certain high energy.