On the analytic proton structure function with heavy quarks

Abstract

The analytic proton structure function including quark mass is derived in the framework of color glass condensate. To get the massive proton structure function we keep the quark mass in photon wave function in the derivation process although the calculation is much more complicated than the massless case. It shows that the quark mass plays a key role in the description of the experimental data of proton structure function, and the cross-section of \( \gamma^{\ast}p\) scattering will be divergent without quark mass regulation. To have the right threshold behavior and a smooth transition in the limit \( Q^{2}\rightarrow 0\), the quark mass has to include in the cross-section.