Abstract
In this paper, we investigate the inclusive diffractive hadroproduction for $\rm \eta_{c}$ and $\rm \eta_{b}$ at the LHC energies. Based on the NRQCD factorization formalism and the resolved-Pomeron model for the quarkonium production mechanism, we estimate the rapidity, momentum fraction loss dependence of the cross section. We give prediction ratios for single and central diffractive processes with respect to non diffractive process. These inclusive processes are sensitive to gluon content of Pomeron for small-$x$ and Reggeon for large-$x$, useful to study small and large-$x$ physics and good to test different mechanism for $\rm \eta_{c}$ and $\rm \eta_{b}$ production at the LHC. They also serve as the background to related exclusive processes thus should be predicted. Our results demonstrate that the Reggeon contribution of diffractive processes can be sizable, even sometimes dominant over Pomeron, and that its study can be useful to better constrain the Reggeon parton content. The experimental study of Reggeon can be carried out in certain kinematic windows.
Highlights
The quarkonia production remains a topic of considerable theoretical and experimental interests in hadronic collisions at the Large Hadron Collider (LHC) and has attracted a lot of attention
5.72 3.72 9.44 9.32 × 10−2 2.16 × 10−1 6.06 × 10−2 3.70 × 10−1 using some physical parameters such as the masses of the heavy quarks chosen as mc 1⁄4 1.45 GeV and mb 1⁄44.75 GeV
The 2006 H1 proton diffractive parton distribution function (PDF) are used for the Pomeron densities inside the proton [75,77], which are probed at the factorization hard scale (μ 1⁄4 Q)
Summary
The quarkonia production remains a topic of considerable theoretical and experimental interests in hadronic collisions at the Large Hadron Collider (LHC) and has attracted a lot of attention. The ηc hadroproduction cross section was measured by the LHCb experiments [2,3] in pp collisions which opened a window for the study of the pseudoscalar quarkonia production. This released experimental data provide a further important test for theories predicting the ηc hadroproduction cross sections polarization. We have predicted the cross section for the inclusive single and double diffractive hadroproduction of ηc in proton-proton interactions in collinear momentum space in the NRQCD formalism with Regge theory.
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