Quantitative study of the violation of k⊥ factorization in hadroproduction of quarks at collider energies -: art. no. 162002

We demonstrate the violation of k(perpendicular to) factorization for quark production in high energy hadronic collisions. This violation is quantified in the color glass condensate framework and studied as a function of the quark mass, the quark transverse momentum, and the saturation scale Q(s), which is a measure of large parton densities. At x values where parton densities are large but leading twist shadowing effects are still small, violations of k(perpendicular to) factorization can be significant-especially for lighter quarks. At very small x, where leading twist shadowing is large, we show that violations of k(perpendicular to) factorization are relatively weaker.