High-energy behaviour in a non-abelian gauge theory (II). First corrections to Tn→ m beyond the leading In s approximation

Abstract

In this second part of our attempt to construct a unitary high-energy description of a spontaneously broken non-abelian gauge theory we calculate, for the n→ m amplitude in the multi-Regge limit, the first corrections beyond the leading logarithmic approximation. The resulting amplitudes come in the form of the reggeon calculus where the number of reggeons in each t-channel is restricted to one or two. We then study the limit where the mass of the vector particle is taken to zero: for the 2→2 amplitude we show that this limit exists, not only for the approximation of the present paper but also for higher-order corrections.