Gluon dipole factorisation for diffractive dijets

Iancu, E.; Mueller, A. H.; Triantafyllopoulos, D. N.; Wei, S. Y.

doi:10.1007/jhep10(2022)103

Gluon dipole factorisation for diffractive dijets

Journal Article · Mon Oct 17 00:00:00 EDT 2022 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep10(2022)103· OSTI ID:2419387

Iancu, E. ^[1]; Mueller, A. H. ^[2]; Triantafyllopoulos, D. N. ^[3]; Wei, S. Y. ^[4]

University Paris-Saclay, Gif-sur-Yvette (France); Columbia Univ., New York, NY (United States)
Columbia University, New York, NY (United States)
European Centre for Theoretical Studies in Nuclear Physics and Related Areas, Trento (Italy)
Shandong University (China)

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 ($$\overline{q}$$) generated by the decay of the virtual photon — are much larger than the target saturation momentum Q_s(Y_P) evaluated at the rapidity gap Y_P. We argue that the typical final-state configurations are such that the hard $$q$$$\overline{q}$$ dijets are accompanied by a semi-hard gluon jet, with a transverse momentum of the order of Q_s(Y_P). The presence of this third jet ensures that the scattering is strong and thus avoids the strong suppression of exclusive (hard) dijet production due to colour transparency. For such “2+1” jet configurations, we demonstrate that both the emission of the semi-hard gluon and its scattering with the hadronic target can be factorised in terms of an effective gluon-gluon dipole. This effective description, originally proposed in [1–7], builds a bridge between the colour dipole picture and the transverse-momentum dependent (TMD) version of the collinear factorisation: the cross-section for diffractive 2+1 jets can be written as the product between a hard factor describing the $$q$$$\overline{q}$$ 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 $$q$$$\overline{q}$$$$g$ contribution to the diffractive structure function in collinearly-factorised form.

View Accepted Manuscript (DOE)

Research Organization:: Columbia University, New York, NY (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: FG02-92ER40699

OSTI ID:: 2419387

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 10 Vol. 2022; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

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