Single Inclusive Hadron Production in DIS at Small $x$: Next to Leading Order Corrections

Abstract

We calculate the one-loop corrections to single inclusive hadron production in Deep Inelastic Scattering (DIS) at small $x$ in the forward rapidity region using the Color Glass Condensate formalism. We show that the divergent parts of the next to leading order (NLO) corrections either cancel among each other or lead to $x$ (rapidity) evolution of the leading order (LO) dipole cross section according to the JIMWLK evolution equation and DGLAP evolution of the parton-hadron fragmentation function. The remaining finite parts constitute the NLO (${\alpha }_s$) corrections to the LO single inclusive hadron production cross section in DIS at small $x$.

13 pages, 4 figures

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Cited by in corpus (9)

• DIS dijet production at next-to-eikonal accuracy in the CGC
• Proton structure functions at NLO in the dipole picture with massive quarks
• NLO computation of diffractive di-hadron production in a saturation framework
• Dihadron production in DIS at NLO: the real corrections
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• Isolated photon production in $pp$ collisions at forward rapidities and high multiplicity events
• Gluonic contributions to semi-inclusive DIS in the target fragmentation region
• Parton model contributions as next-to-eikonal corrections to the dipole factorization of DIS and SIDIS at low $x_{Bj}$