Implementing the exact kinematical constraint in the saturation formalism

Abstract

We revisit the issue of the large negative next-to-leading order (NLO) cross section for single inclusive hadron production in $pA$ collisions in the saturation formalism. By implementing the exact kinematical constraint in the modified dipole splitting functions, two additional positive NLO correction terms are obtained. In the asymptotic large $k_{\perp }$ limit, we analytically show that these two terms become as large as the negative NLO contributions found in our previous calculation. Furthermore, the numerical results demonstrate that the applicable regime of the saturation formalism can be extended to a larger $k_{\perp }$ window, where the exact matching between the saturation formalism (in the asymptotic $k_{\perp }$ regime) and the collinear factorization calculations will have to be performed separately. In addition, after significantly improving the numerical accuracy of the NLO correction, we obtain excellent agreement with the LHC and RHIC data for forward hadron productions.

20 pages, 7 figures; v2 fixes some typos

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Cited by in corpus (42)

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• CGC factorization for forward particle production in proton-nucleus collisions at next-to-leading order
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• Paving the Way Towards Precision Physics in Saturation Studies Through Exclusive Diffractive Light Neutral Vector Meson Production
• On the implementation of NLO high energy factorization in single inclusive forward hadron production
• Deep inelastic scattering in the dipole picture at next-to-leading order
• Low $x$ physics as an infinite twist (G)TMD framework: unravelling the origins of saturation
• Quarks at next-to-eikonal accuracy in the CGC I: Forward quark-nucleus scattering
• On the Dihadron Angular Correlations in Forward $pA$ collisions
• Heavy quarks in proton-nucleus collisions - the hybrid formalism
• Pursuing the Precision Study for Color Glass Condensate in Forward Hadron Productions
• On the use of a running coupling in the NLO calculation of forward hadron production
• Forward dijets in proton-nucleus collisions at next-to-leading order: the real corrections
• Heavy ions at the Future Circular Collider
• Forward trijet production in proton-nucleus collisions
• TMD factorization for dijets + photon production from the dilute-dense CGC framework
• Single Inclusive Jet Production in $pA$ Collisions at NLO in the small-$x$ regime
• Next-to-leading order Balitsky-Kovchegov equation beyond large $N_{\mathrm{c}}$
• Threshold Resummation for Hadron Production in the Small-$x$ Region
• Saturation and forward jets in proton-lead collisions at the LHC
• Single Spin Asymmetry in Forward $pA$ Collisions
• Improvement for Color Glass Condensate factorization: single hadron production in pA collisions at next-to-leading order
• Saturation in inclusive production beyond leading logarithm accuracy
• Forward Inclusive Jet Productions in pA Collisions
• Soft photon and two hard jets forward production in proton-nucleus collisions
• On the Threshold Resummation in Forward pA Collisions
• Testing the running coupling $k_T$-factorization formula for the inclusive gluon production
• Complete Next-to-Leading Order Calculation of Single Inclusive ${\pi }^0$ Production in Forward Proton-Nucleus Collisions
• Quark TMDs from back-to-back dijet production at forward rapidities in pA collisions beyond eikonal accuracy in the CGC
• Complete calculation of exclusive heavy vector meson production at next-to-leading order in the dipole picture
• The non-equilibrium attractor: Beyond hydrodynamics
• Exclusive heavy vector meson production at next-to-leading order in the dipole picture
• Forward Hadron Productions in Proton-Proton Collisions in Small-$x$ Formalism
• Initial conditions in AA and pA collisions
• Low-$x$ Physics in $pA$ Collisions and at the EIC
• Forward proton detectors in heavy ion physics
• Small-x, Diffraction and Vector Mesons
• Single inclusive hadron production in pA collisions at NLO
• Correlations with fluctuating strings
• Implementing consistent NLO factorization in single inclusive forward hadron production
• Exclusive production of light vector mesons at next-to-leading order in the dipole picture
• Forward hadron production in pA collisions beyond leading order