QCD Contributions to the Froissart bound for the total cross-section
  We discuss the effect of infrared soft gluons on the asymptotic behaviour of the total cross-section. We use a singular but integrable expression for the strong coupling constant in the infrared limit and relate its behaviour to the satisfaction of the Froissart bound, giving a specific phenomenological example. 
A. Achilli, A. Grau, G. Pancheri, Y.N. Srivastava