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Dihadron correlations in small-x DIS at NLO: transverse momentum dependent fragmentation

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arxiv 2405.19404 v1 pith:4UVHKUNQ submitted 2024-05-29 hep-ph nucl-th

Dihadron correlations in small-x DIS at NLO: transverse momentum dependent fragmentation

classification hep-ph nucl-th
keywords fragmentationfunctionsdihadronfracsudakovtransversealphaback-to-back
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We compute inclusive dihadron cross-section in Deep Inelastic Scattering at next-to-leading order (NLO) and small $x$ in the Color Glass Condensate. We focus on the kinematic limit where the hadrons are produced at forward rapidities (in the direction of the virtual photon) and back-to-back in the transverse plane. Our calculation demonstrates that the coefficient of the Sudakov double logarithm for this process is $-\frac{\alpha_s}{2\pi}\left[C_F+\frac{N_c}{2}\right]$ instead of $-\frac{\alpha_s N_c}{4\pi}$ when back-to-back jets are measured in the final state. To preserve the universality of the Sudakov soft factor associated with the Weizs\"{a}cker-Williams transverse momentum dependent (TMD) gluon distribution, we promote the collinear fragmentation functions into TMD fragmentation functions. We then perform the resummation of the Sudakov logarithms through Collins-Soper-Sterman evolution of the TMD fragmentation functions and the Weizs\"{a}cker-Williams TMD gluon distribution. Finally, analytic expressions are obtained for the NLO coefficient functions in the $\overline{\rm MS}$-scheme. These results pave the way towards numerically calculating dihadron correlations at small $x$ at the future Electron-Ion Collider with full NLO accuracy.

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Forward citations

Cited by 9 Pith papers

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    hep-ph 2026-07 unverdicted novelty 7.0

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