MHV amplitude for 3 → 3 gluon scattering in Regge limit
Abstract
We calculate corrections to the BDS formula for the sixparticle planar MHV amplitude for the gluon transition 3 → 3 in the multiRegge kinematics for the physical region, in which the Regge pole ansatz is not valid. The remainder function at two loops is obtained by an analytic continuation of the expression derived by Goncharov, Spradlin, Vergu and Volovich to the kinematic region described by the Mandelstam singularity exchange in the crossing channel. It contains both the imaginary and real contributions being in agreement with the BFKL predictions. The real part of the three loop expression is found from a dispersionlike allloop formula for the remainder function in the multiRegge kinematics derived by one of the authors. We also make a prediction for the allloop real part of the remainder function multiplied by the BDS phase, which can be accessible through calculations in the regime of the strong coupling constant.
 Publication:

Physics Letters B
 Pub Date:
 November 2011
 DOI:
 10.1016/j.physletb.2011.09.061
 arXiv:
 arXiv:1012.3178
 Bibcode:
 2011PhLB..705..507B
 Keywords:

 High Energy Physics  Theory
 EPrint:
 6 pages, 4 figures