Next-to-leading order Balitsky-Kovchegov equation with resummation

Understand

We solve the Balitsky-Kovchegov evolution equation at next-to-leading order accuracy including a resummation of large single and double transverse momentum logarithms to all orders.

• We numerically determine an optimal value for the constant under the large transverse momentum logarithm that enables including a maximal amount of the full NLO result in the resummation.
• When this value is used the contribution from the $\alpha_s^2$ terms without large logarithms is found to be small at large saturation scales and at small dipoles.
• Close to initial conditions relevant for phenomenological applications these fixed order corrections are shown to be numerically important.