Renormalization Group Improved Exponentiation of Soft Gluons in QCD

Abstract

We extend the methods of Yennie, Frautschi and Suura to QCD for the summation of soft gluon effects in which infrared singularities are cancelled to all orders in ${\alpha }_s$. An explicit formula for the respective \rngp improved exponentiated cross section is obtained for $q+\text{bbar}{q}^{\prime }\to q+\text{bbar}{q}^{\prime }+n(G)$ at SSC energies. Possible applications are discussed.

Comments: 7 pages (1 figure not included, available on request) LATEX, UTHEP-93-0401