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arXiv · 0807.2430

Next-to-Leading Order Hard Scattering Using Fully Unintegrated Parton Distribution Functions

Ted C. Rogers
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Abstract

We calculate the next-to-leading order fully unintegrated hard scattering coefficient for unpolarized gluon-induced deep inelastic scattering using the logical framework of parton correlation functions developed in previous work. In our approach, exact four-momentum conservation is maintained throughout the calculation. Hence, all non-perturbative functions, like parton distribution functions, depend on all components of parton four-momentum. In contrast to the usual collinear factorization approach where the hard scattering coefficient involves generalized functions (such as Dirac $δ$-functions), the fully unintegrated hard scattering coefficient is an ordinary function. Gluon-induced deep inelastic scattering provides a simple illustration of the application of the fully unintegrated factorization formalism with a non-trivial hard scattering coefficient, applied to a phenomenologically interesting case. Furthermore, the gluon-induced process allows for a parameterization of the fully unintegrated gluon distribution function.

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Ted C. Rogers. 2008-09-29. Next-to-Leading Order Hard Scattering Using Fully Unintegrated Parton Distribution Functions. https://doi.org/10.1103/physrevd.78.074018

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