Multiple Gluon Effects in $q+\bar q\to t+\bar t + X$ at FNAL Energies: Semi-Analytical Results

Abstract

We apply our Yennie-Frautschi-Suura exponentiated cross section formulas for the parton processes $q + {^(} \bar q {^)}{^\prime} \ra q{^\prime}{^\prime} + {^(} \bar q {^)}{^\prime}{^\prime}{^\prime} + n(G)$ to the process $q + \bar q \ra t + \bar t + n(G)$ at FNAL energies, where G is a QCD gluon. We use semi-analytical methods to compute the ratio $r_{exp}=\sigma_{exp}/\sigma_B$, where $\sigma_{exp}$ is our soft gluon YFS exponentiated cross section and $\sigma_B$ is the Born cross section. For $m_t= 0.176(0.199)$TeV, we get $r_{exp}=1.65(1.48)$, respectively, for $q=u$ for example. These results are not inconsistent with the recent observations by CDF and D0.