Abstract
In this work, we will present the first complete calculation of the one-loop longitudinal photon-to-quark-antiquark light cone wave function, with massive quarks. The quark masses are renormalized in the pole mass scheme. The result is used to calculate the next-to-leading order correction to the high energy Deep Inelastic Scattering longitudinal structure function on a dense target in the dipole factorization framework. For massless quarks the next-to-leading order correction was already known to be sizeable, and our result makes it possible to evaluate it also for massive quarks.
Highlights
There are strong indications that high energy hadronic and nuclear collisions at present and future collider experiments can reach the regime of gluon saturation
We have here calculated, we believe for the first time in the literature, the one-loop light cone wave function for a longitudinal photon splitting into a quarkantiquark pair including quark masses
Such a wave function is a central ingredient in any next-to-leading order (NLO) calculation in the small-x dipole factorization formulation for processes involving heavy quarks
Summary
There are strong indications that high energy hadronic and nuclear collisions at present and future collider experiments can reach the regime of gluon saturation. Regularization procedure that breaks (three-dimensional) rotational invariance, it can happen that one needs to separately renormalize the two masses at each order in perturbation theory with an additional renormalization condition restoring rotational invariance [60] Both this conceptual issue, and the more complicated structure of the basic quark-gluon vertex due to the light cone helicity [61] flip term, make the calculation of the DIS cross section for massive quarks more involved than the corresponding one for massless quarks [16,17,19]. The high energy factorization aspect of the calculation is quite similar to the massless case, and will only be discussed briefly in this work, it needs to be treated carefully in order to eventually compare the calculations to experimental data This is the first in a set of papers, where we will fully analyze the calculation of the DIS cross section in the dipole picture to NLO accuracy with massive quarks. Many technical details on the calculations are explained in the Appendixes
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