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The one loop gluon emission light cone wave function
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abstract
Light cone perturbation theory has become an essential tool to calculate cross sections for various small-$x$ dilute-dense processes such as deep inelastic scattering and forward proton-proton and proton-nucleus collisions. Here we set out to do one loop calculations in an explicit helicity basis in the four dimensional helicity scheme. As a first process we calculate light cone wave function for one gluon emission to one-loop order in Hamiltonian perturbation theory on the light front. We regulate ultraviolet divergences with transverse dimensional regularization and soft divergences with using a cut-off on longitudinal momentum. We show that when all the renormalization constants are combined, the ultraviolet divergences can be absorbed into the standard QCD running coupling constant, and give an explicit expression for the remaining finite part.
Forward citations
Cited by 4 Pith papers
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TMD factorization in diffractive heavy-quark production in photon-nucleus collisions
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Extracting light-cone wave functions from covariant amplitudes: a detailed study in scalar field theory
A conjectured mapping from covariant amplitudes to light-cone wave functions in scalar φ^3 theory is verified at one loop against light-cone perturbation theory.
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Nuclear Cold QCD: Review and Future Strategy
Review summarizing observed cold nuclear matter modifications in hadron-nucleus collision data and proposing experimental strategies for the EIC to clarify underlying QCD mechanisms.
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Effective theories for nuclei at high energies
This paper reviews the Color Glass Condensate effective theory, covering its foundations, its role in deep inelastic scattering, and its use in setting initial conditions for heavy-ion collisions.
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