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Title
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Forward production of a Drell-Yan pair and a jet at small χ at next-to-leading order
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Author
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Abstract
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| We perform the analytical next-to-leading order calculation of the process p + A gamma* + jet + X, at forward rapidities and low x. These kinematics justify a hybrid approach, where a quark from the 'projectile' proton scatters off the gluon distribution of the 'target', which can be a nucleus or a highly boosted proton. By using the Color Glass Condensate effective theory approach, this gluon distribution is allowed to be so dense that the quark undergoes multiple scattering. Moreover, large high-energy logarithms in the ratio of the hard scale and the center-of-mass energy are resummed by the Balitsky, Kovchegov, Jalilian-Marian, Iancu, McLerran, Weigert, Leonidov, Kovner or BK-JIMWLK evolution equations. We demonstrate that all ultraviolet divergences encountered in the calculation cancel, while the high-energy divergences are absorbed into BK-JIMWLK. The remaining singularities are collinear in nature and can be either absorbed into the Dokshitzer-Gribov-Lipatov-Altarelli-Parisi evolution of the incoming quark, when they stem from initial-state radiation, or else can be treated by a jet function in case they are caused by final-state emissions. The resulting cross section is completely finite and expressed in function of only a small set of color operators. |
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Language
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English
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Source (journal)
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Journal of high energy physics. - Bristol
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Publication
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Bristol
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2024
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ISSN
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1126-6708
1029-8479
[online]
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DOI
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10.1007/JHEP01(2024)005
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Volume/pages
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1
(2024)
, p. 1-117
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Article Reference
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5
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ISI
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001136915400001
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Full text (Publisher's DOI)
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Full text (open access)
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