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Gluon dipole factorisation for diffractive dijets
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Gluon dipole factorisation for diffractive dijets
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Within the colour dipole picture for deep inelastic scattering at small Bjorken $x$, we study the production of a pair of relatively hard jets via coherent diffraction. By "relatively hard" we mean that the transverse momenta of the two jets -- the quark ($q$) and the antiquark ($\bar{q}$) generated by the decay of the virtual photon -- are much larger than the target saturation momentum $Q_s(Y_{\mathbb{P}})$ evaluated at the rapidity gap $Y_{\mathbb{P}}$. We argue that the typical final-state configurations are such that the hard $q\bar q$ dijets are accompanied by a semi-hard gluon jet, with a transverse momentum of the order of $Q_s(Y_{\mathbb{P}})$. The presence of this third jet ensures that the scattering is strong and thus avoids the strong suppression of exclusive (hard) dijet production due to colour transparency. For such "2+1" jet configurations, we demonstrate that both the emission of the semi-hard gluon and its scattering with the hadronic target can be factorised in terms of an effective gluon-gluon dipole. This effective description, originally proposed in [1-4], builds a bridge between the colour dipole picture and collinear factorisation: the cross-section for diffractive 2+1 jets can be written as the product between a hard factor describing the $q\bar{q}$ dijets and a semi-hard factor expressing the unintegrated gluon distribution of the Pomeron. The latter is controlled by gluon dipole scattering in the black disk limit and hence is strongly sensitive to gluon saturation. By integrating out the kinematics of the 3 jets, we obtain the $q\bar{q}g$ contribution to the diffractive structure function in collinearly-factorised form.
Forward citations
Cited by 7 Pith papers
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TMD factorization in diffractive heavy-quark production in photon-nucleus collisions
TMD factorization holds for diffractive massive quark-antiquark-gluon production in the correlation limit, with a new mass-dependent quark diffractive TMD in the antiquark-gluon hard pair case.
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When JIMWLK evolution really matters: the example of incoherent diffraction
JIMWLK evolution produces systematically larger incoherent diffraction cross sections than the Gaussian Approximation in photon-nucleus collisions because the latter is invalid for four-gluon-exchange correlators.
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When JIMWLK evolution really matters: the example of incoherent diffraction
JIMWLK evolution gives larger incoherent diffraction cross sections than the Gaussian approximation for photon-nucleus collisions because the latter is invalid for four-gluon starting correlators.
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Diffractive deep inelastic scattering in the dipole picture: the $q\bar{q}g$ contribution in exact kinematics
Exact q qbar g contribution to diffractive DIS structure functions in the dipole model shows prior high-Q2 and high-MX2 approximations are inadequate and that soft quark terms are comparably important at high Q2.
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Azimuthal decorrelation in diffractive dijet production
All-order resummation of soft gluons for transverse energy-energy correlators in diffractive dijet production demonstrates sensitivity of acoplanarity to diffractive TMDs.
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Maximum phase-space density of linearly polarized gluon TMDs in the saturation region
Computes maximum phase-space density of linearly polarized gluon TMD h1^⊥g as ~2 α_s^{-3/2} (dipole) in saturation using Mueller occupancy and prior WW/dipole distributions, with numerical Collins-Soper study.
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Maximum phase-space density of linearly polarized gluon TMDs in the saturation region
For the dipole gluon TMD, the Sudakov-limited maximum phase-space density of h_1^{⊥g} is 2 n_g^{max} ∼ 2 α_s^{-3/2} in the saturation region.
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