Single inclusive hadron production in DIS at small x: next to leading order corrections

Bergabo, Filip; Jalilian‐Marian, Jamal

doi:10.1007/jhep01(2023)095

Cited by 22 publications

(2 citation statements)

References 117 publications

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“…the NLO effects associated with a 3-parton final state, out of which only 2 are measured. For electron-hadron (ep or eA) deep inelastic scattering (DIS) at small Bjorken x, one knows by now the NLO corrections to the inclusive structure functions (including massive quarks) [58][59][60][61][62][63][64], to the exclusive (diffractive) production of (light or heavy) vector mesons and dijets [65][66][67][68][69][70], to the inclusive photon + dijet production in eA collisions at small x [71], to the inclusive dijet (or dihadron) production [72][73][74][75] (see also [76][77][78] for an earlier calculation of polarized trijet production), and to semi-inclusive DIS (single inclusive hadron production) [79]. One has recently computed the real NLO corrections to the diffractive structure function [80], as well as the diffractive production of 3 jets [81][82][83].…”

Section: Introductionmentioning

confidence: 99%

Dihadron production in DIS at NLO: the real corrections

Iancu

Mulian

2023

J. High Energ. Phys.

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By using the formalism of the light-cone wave function along with the colour glass condensate effective theory, we consider next-to-leading order (NLO) corrections to the production of a pair of hadrons in electron-proton, or electron-nucleus, collisions at small Bjorken x. To the order of interest, the process involves the fluctuation of a virtual photon into a quark-antiquark pair, followed by the emission of a gluon from either the quark, or the antiquark. For the case of a virtual photon with transverse polarization, we compute the real NLO corrections, where the emitted gluon is present in the final state. We first compute the tree-level cross-section for the production of the quark-antiquark-gluon system and then deduce the real NLO corrections to dihadron production by integrating out the kinematics of the gluon. We verify in detail that, in the limit where the gluon is soft, our calculation reproduces the (real piece of the) B-JIMWLK evolution of the leading-order cross-section for quark-antiquark production. Similarly, in the limit where the gluon is collinear with its emitter, we recover the real terms in the DGLAP evolution of the fragmentation function. The virtual NLO corrections to dihadron production will be presented by one of us in a subsequent publication.

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Section: Introductionmentioning

confidence: 99%

Dihadron production in DIS at NLO: the real corrections

Iancu

Mulian

2023

J. High Energ. Phys.

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“…These include proton-nucleus (pA) collisions, Deep Inelastic Scattering (DIS) of electrons off hadrons (like ep) or nuclei (eA), and even ultra-peripheral nucleus-nucleus collisions (UPCs), where a quasi-real photon from one nucleus probes the other nucleus. During the last years, there has been significant interest in events, in which the kinematics of one or more particles in the final state are specified and the simplest such example is single inclusive DIS [17][18][19][20][21]. A more commonly studied process is the inclusive production of two jets in the forward direction of the projectile [22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37].…”

Section: Introductionmentioning

confidence: 99%

Incoherent diffractive dijet production in electron DIS off nuclei at high energy

2023

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We study incoherent diffractive production of two and three jets in electron-nucleus deep inelastic scattering (DIS) at small x Bj using the color dipole picture and the effective theory of the Color Glass Condensate (CGC). We consider color fluctuations in the CGC weightfunction as the source of the nuclear break-up and the associated momentum transfer |t|. We focus on the regime in which the two jets are almost back-to-back in transverse space and have transverse momenta P ⊥ much larger than both the momentum transfer and the saturation scale Q s . The cross section for producing such a hard dijet is parametrically dominated by large size fluctuations in the projectile wave-function that scatter strongly and for which a third, semi-hard, jet appears in the final state. The 2 + 1 jets cross section can be written in a factorized form in terms of incoherent quark and gluon diffractive transverse momentum distributions (DTMDs) when the third jet is explicit, or incoherent diffractive parton distribution functions (DPDFs) when the third jet is integrated over. We find that the DPDFs and the corresponding cross section saturate logarithmically when |t| ≪ Q 2 s , while they fall like 1/|t| 2 in the regime Q 2 s ≪ |t| ≪ P 2 ⊥ . We further show that there is no angular correlation between the hard jet momentum and the momentum transfer. For typical EIC kinematics the 2 jets and 2 + 1 jets cross sections are of the same order.

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Forward production of a Drell-Yan pair and a jet at small x at next-to-leading order

Taels

2024

J. High Energ. Phys.

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We perform the analytical next-to-leading order calculation of the process p + A γ∗ + jet + X, at forward rapidities and low x. These kinematics justify a hybrid approach, where a quark from the ‘projectile’ proton scatters off the gluon distribution of the ‘target’, which can be a nucleus or a highly boosted proton. By using the Color Glass Condensate effective theory approach, this gluon distribution is allowed to be so dense that the quark undergoes multiple scattering. Moreover, large high-energy logarithms in the ratio of the hard scale and the center-of-mass energy are resummed by the Balitsky, Kovchegov, Jalilian-Marian, Iancu, McLerran, Weigert, Leonidov, Kovner or BK-JIMWLK evolution equations. We demonstrate that all ultraviolet divergences encountered in the calculation cancel, while the high-energy divergences are absorbed into BK-JIMWLK. The remaining singularities are collinear in nature and can be either absorbed into the Dokshitzer-Gribov-Lipatov-Altarelli-Parisi evolution of the incoming quark, when they stem from initial-state radiation, or else can be treated by a jet function in case they are caused by final-state emissions. The resulting cross section is completely finite and expressed in function of only a small set of color operators.

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Single inclusive hadron production in DIS at small x: next to leading order corrections

Cited by 22 publications

References 117 publications

Dihadron production in DIS at NLO: the real corrections

Dihadron production in DIS at NLO: the real corrections

Incoherent diffractive dijet production in electron DIS off nuclei at high energy

Forward production of a Drell-Yan pair and a jet at small x at next-to-leading order

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