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Dihadron Production in DIS at Small $x$ at Next to Leading Order: Transverse Photons

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arxiv 2301.03117 v1 pith:GMSNNMBC submitted 2023-01-08 hep-ph

classification hep-ph
keywords dihadronleadingproductioncasedivergencesnextorderphoton
verification ladder T0 review T1 audit T2 compute T3 formal
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We calculate the next to leading order corrections to dihadron production in Deep Inelastic Scattering (DIS) at small x using the Color Glass Condensate formalism for the case when the virtual photon is transverse polarized. Similar to the case of longitudinal photon exchange all UV and soft singularities cancel while the collinear divergences are absorbed into quark and antiquarkhadron fragmentation functions. Rapidity divergences lead to JIMWLK evolution of dipoles and quadrupoles which describe multiple-scatterings of the quark antiquark dipole on the target proton/ nucleus and contain all the QCD dynamics of the target leading to a finite final result for the dihadron production cross section.

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