The colour octet representation of the non-forward BFKL Green function

Understand

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 octet Green function is compared with the singlet case for different values of the momentum transfer.
• The octet 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 one of us in http://arXiv.org/abs/arXiv:0802.2065 and http://arXiv.org/abs/arXiv:0807.0894.
• A comparison with regularizations preserving conformal invariance at large momentum transfer is shown.