Transverse momentum dependent parton densities in processes with heavy quark generations

Abstract

To study the heavy quark production processes, we use the transverse momentum dependent (TMD, or unintegrated) gluon distribution function in a proton obtained recently using the Kimber-Martin-Ryskin prescription from the Bessel-inspired behavior of parton densities at small Bjorken x values. We obtained a good agreement of our results with the latest HERA experimental data for reduced cross sections σ cc red (x, Q 2 ) and σ bb red (x, Q 2 ), and also for deep inelastic structure functions F c 2 (x, Q 2 ) and F b 2 (x, Q 2 ) in a wide range of x and Q 2 values. Comparisons with the predictions based on the Ciafaloni-Catani-Fiorani-Marchesini evolution equation and with the results of conventional pQCD calculations performed at first three orders of perturbative expansion are presented.

Collinear approach for top quark production at ep colliders

“…Recently in Ref. [25] authors studied the heavy quark production processes by the transverse momentum dependent (TMD) gluon distribution function. They used the Kimber-Martin-Ryskin [26] prescription from the Besselinspired behavior of parton densities at small x.…”

“…is the gluon distribution function. The coefficient functions until the next-to-next-to leading order (NNLO) approximation [25] read…”