
arXiv: 2405.19404
Abstract We compute the 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 $$ -\frac{\alpha_s}{2\pi}\left[{C}_F+\frac{N_c}{2}\right] $$ − α s 2 π C F + N c 2 instead of $$ -\frac{\alpha_s{N}_c}{4\pi } $$ − α s N c 4 π when back-to-back jets are measured in the final state. To preserve the universality of the Sudakov soft factor associated with the Weizsäcker-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 Weizsäcker-Williams TMD gluon distribution. Finally, analytic expressions are obtained for the NLO coefficient functions in the $$ \overline{\textrm{MS}} $$ 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.
[PHYS.NUCL] Physics [physics]/Nuclear Theory [nucl-th], [PHYS.NUCL]Physics [physics]/Nuclear Theory [nucl-th], Nuclear Theory, higher-order, 1, Sudakov, collinear, FOS: Physical sciences, electron nucleon, QC770-798, transverse momentum dependence, Deep Inelastic Scattering or Small-x Physics, 530, fragmentation function, Nuclear Theory (nucl-th), resummation, Sudakov, EIC, High Energy Physics - Phenomenology (hep-ph), fragmentation, deep inelastic scattering, Nuclear and particle physics. Atomic energy. Radioactivity, colliding beams, Renormalization Group, universality, Factorization, photon, dihadron, electron nucleon, colliding beams, gluon, dihadron, correlation, [PHYS.HPHE] Physics [physics]/High Energy Physics - Phenomenology [hep-ph], higher-order, 1, transverse, High Energy Physics - Phenomenology, rapidity, photon, virtual, resummation, kinematics, correlation, [PHYS.HPHE]Physics [physics]/High Energy Physics - Phenomenology [hep-ph], color glass condensate, Higher-Order Perturbative Calculations, virtual, hadron
[PHYS.NUCL] Physics [physics]/Nuclear Theory [nucl-th], [PHYS.NUCL]Physics [physics]/Nuclear Theory [nucl-th], Nuclear Theory, higher-order, 1, Sudakov, collinear, FOS: Physical sciences, electron nucleon, QC770-798, transverse momentum dependence, Deep Inelastic Scattering or Small-x Physics, 530, fragmentation function, Nuclear Theory (nucl-th), resummation, Sudakov, EIC, High Energy Physics - Phenomenology (hep-ph), fragmentation, deep inelastic scattering, Nuclear and particle physics. Atomic energy. Radioactivity, colliding beams, Renormalization Group, universality, Factorization, photon, dihadron, electron nucleon, colliding beams, gluon, dihadron, correlation, [PHYS.HPHE] Physics [physics]/High Energy Physics - Phenomenology [hep-ph], higher-order, 1, transverse, High Energy Physics - Phenomenology, rapidity, photon, virtual, resummation, kinematics, correlation, [PHYS.HPHE]Physics [physics]/High Energy Physics - Phenomenology [hep-ph], color glass condensate, Higher-Order Perturbative Calculations, virtual, hadron
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