  In this paper we proceed to study the high energy behavior of a scattering
amplitudes in the Yang-Mills theory with the Higgs mechanism for the gauge
boson mass. The spectrum of the $j$-plane singularities of the $t$-channel
partial waves, and corresponding eigenfunctions of the BFKL equation in leading
log approximation (LLA), were previously calculated by us numerically in
arXiv:1401.4671 . Here we develop a semiclassical approach and investigate the
influence of the impact parameter exponential decrease, existing in this model,
on the high energy asymptotic behaviour of the scattering amplitude. This
approach is much simpler than the numerical calculations, and reproduces our
earlier numerical results. The analytical (semianalytical) solutions which have
been found in this paper, can be used to incorporate correctly the large impact
parameter behavior in the framework of CGC/saturation approach. This behaviour
is interesting as provides the high energy amplitude for the electroweak
theory, which can be measured experimentally.
