Single Inclusive Jet Production in $pA$ Collisions at NLO in the small-$x$ regime

Abstract

We present the first complete NLO prediction with full jet algorithm implementation for the single inclusive jet production in $pA$ collisions within the CGC effective theory. Our prediction is fully differential over the final state physical kinematics, which allows the implementation of any IR safe observable including the jet clustering procedure. The NLO calculation is organized with the aid of the power counting proposed in [1] which gives rise to the novel soft contributions in the CGC factorization. We achieve the fully-differential calculation by constructing suitable subtraction terms to handle the singularities in the real corrections. The subtraction contributions can be exactly integrated analytically. We present the NLO cross section with the jets constructed using the anti-$k_T$ algorithm. The NLO calculation demonstrates explicitly the validity of the CGC factorization in jet production. Furthermore, as a byproduct of the subtraction method, we also derive the fully analytic cross section for the forward jet production in the small-$R$ limit. We show that in the small-$R$ approximation, the forward jet cross section can be factorized into a semi-hard cross section that produces a parton and the semi-inclusive jet functions. We argue that this feature holds for generic jet production and jet substructure observables in the CGC framework. Last, we show numerical analyses of the derived formula to validate our calculations. We justify when the small-$R$ approximation is appropriate. Like forward hadron production, the obtained NLO result also exhibits the negativity of the cross section in the large jet transverse regime, which signals the need for the threshold resummation. A sketch of the threshold resummation in the CGC framework is presented based on the multiple emission picture.

67 pages, multiple figures, comments welcome, reference updated

References in corpus (31)

• Parton distributions for the LHC
• The Color Glass Condensate
• Universality of Unintegrated Gluon Distributions at small x
• Quark contribution to the small-$x$ evolution of color dipole
• Triumvirate of Running Couplings in Small-x Evolution
• Threshold Resummation in Momentum Space from Effective Field Theory
• kt-factorization for Hard Processes in Nuclei
• CGC predictions for p+Pb collisions at the LHC
• Single Inclusive Hadron Production at RHIC and the LHC from the Color Glass Condensate
• Mining for Gluon Saturation at Colliders
• Single-inclusive particle production in proton-nucleus collisions at next-to-leading order in the hybrid formalism
• The gluon jet function at two-loop order
• Particle Production at High Energy and Large Transverse Momentum - "The Hybrid Formalism" Revisited
• Gluon saturation and inclusive hadron production at LHC
• CGC factorization for forward particle production in proton-nucleus collisions at next-to-leading order
• Higgs boson production at the LHC: transverse-momentum resummation and rapidity dependence
• Quantum Interference in Jet Substructure from Spinning Gluons
• Endpoint singularities in unintegrated parton distributions
• High Gluon Densities in Heavy Ions Collisions
• Matching Collinear and Small-x Factorization Calculations for Inclusive Hadron Production in pA Collisions
• Next-to-leading order forward hadron production in the small-$x$ regime: rapidity factorization
• Extending Precision Perturbative QCD with Track Functions
• The importance of kinematic twists and genuine saturation effects in dijet production at the Electron-Ion Collider
• Threshold and jet radius joint resummation for single-inclusive jet production
• Impact factor for high-energy two and three jets diffractive production
• Resummed Cross Section for Jet Production at Hadron Colliders
• Pursuing the Precision Study for Color Glass Condensate in Forward Hadron Productions
• Saturation and forward jets in proton-lead collisions at the LHC
• 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
• Anti-$k_T$ jet function at next-to-next-to-leading order

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• Dihadron production in DIS at NLO: the real corrections
• Energy-Energy Correlator for jet production in $pp$ and $pA$ collisions
• Forward Inclusive Jet Productions in pA Collisions
• Direct quarkonium-plus-gluon production in DIS in the Color Glass Condensate
• Isolated photon production in $pp$ collisions at forward rapidities and high multiplicity events
• A parton shower generator based on the GLR equation
• Complete calculation of exclusive heavy vector meson production at next-to-leading order in the dipole picture
• Color Glass Condensate meets High Twist Expansion
• Physics with high-luminosity proton-nucleus collisions at the LHC