Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-08-05
Physics
High Energy Physics
High Energy Physics - Theory
To appear in the proceedings of 16th International Seminar on High Energy Physics, QUARKS-2010, Kolomna, Russia, 6-12 June, 20
Scientific paper
We investigate analytic properties of the six point planar amplitude in N=4 SUSY at the multi-Regge kinematics for final state particles. For inelastic processes the Steinmann relations play an important role because they give a possibility to fix the phase structure of the Regge pole and Mandelstam cut contributions. These contributions have the Moebius invariant form in the transverse momentum subspace. The analyticity and factorization constraints allow us to reproduce the two-loop correction to the 6-point BDS amplitude in N=4 SUSY obtained earlier in the leading logarithmic approximation with the use of the s-channel unitarity. The exponentiation hypothesis for the remainder function in the multi-Regge kinematics is also investigated. The 6-point amplitude in LLA can be completely reproduced from the BDS ansatz with the use of the analyticity and Regge factorization.
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