The adjoint representation of the non-forward BFKL Green function

We factorize the infrared divergences of the non-forward BFKL Green function for a general t-channel projection of the color quantum numbers and study the properties of the infrared finite remainder in the case of color octet exchange. The adjoint Green function is compared with the singlet case for different values of the momentum transfer. The adjoint Green function plays an important role in the calculation of the finite remainder of the two-loop six-point MHV planar amplitude in N=4 SYM as it was demonstrated by Bartels, Lipatov and Sabio Vera (2009, 2010) [1], [2]. A comparison with regularizations preserving conformal invariance at large momentum transfer is shown.