Mining for Gluon Saturation at Colliders

Morreale, Astrid; Salazar, Farid

doi:10.48550/arxiv.2108.08254

Cited by 1 publication

(1 citation statement)

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“…When Q s Λ QCD , perturbative QCD can be applied. Tremendous efforts have been devoted in searching for the emergent phenomena of the gluon saturation in the ultra-dense regime [20][21][22]. There exist experimental hints [23][24][25][26][27][28][29] that are compatible with saturation-model predictions, but we still lack deterministic evidence to claim a discovery.…”

Section: Introductionmentioning

confidence: 99%

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

Liu¹,

Xie²,

Kang³

et al. 2022

Preprint

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We present the first complete next-to-leading-order (NLO) prediction with full jet algorithm implementation for the single inclusive jet production in pA collisions at forward rapidities within the color glass condensate (CGC) effective theory. Our prediction is fully differential over the final state physical kinematics, which allows the implementation of any infra-red safe observable including the jet clustering procedure. The NLO calculation is organized with the aid of the observable originated power counting proposed in [1] which gives rise to the novel soft contributions in the CGC factorization. We achieve the fullydifferential 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 semihard cross section that produces a parton and the semi-inclusive jet functions (siJFs).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 and it is found to agree with the approach using the rapidity renormalization group equation developed in [2].

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