Rapidity dependence of the average transverse momentum in p plus p and p plus Pb collisions revisited

We revisit the calculation of rapidity dependence of the average transverse momentum < p(T)> of single inclusive jet production or particle in a p + p and p - Pb collision, using the high energy factorization. We update previous predictions for the < p(T)> both in central and forward rapidity region using parton densities following from extended Balitsky-Kovchegov and Balitsky-Fadin-Kuraev-Lipatov evolution equations to account for corrections of higher orders as well as one obtained by Sudakov resummation. Furthermore, we demonstrate that in the midrapidity region the saturation based formalisms predict increase of the transversal momentum while in the forward rapidity region the < p(T)(y)> decreases.