One Loop Supersymmetric QCD Radiative Corrections to the top quark production in $p\bar{p}$ collisions

Abstract

The purpose of this note is to give the one loop radiative corrections to the top quark pair production in the $p\bar{p}$ annihilation at the Fermilab Tevatron in the context of the Minimal Supersymmetric Model. We concentrate here on the supersymmetric QCD corrections and give the analytic expression for these corrections. Recently Li et. al. have reported the supersymmetric QCD corrections to this process we indicate clearly a comparison of their and our work. In particular, we find additional corrections [crossed box and gluon self-energy] at the one loop level which are not given by Li et. al.. Our numerical results disagree with the original claim of Li et. al. The numerical values given by them in a recent erratum do agree with the general trend of our numerical results however the actual values still disagree. We find that the percentage corrections at the hadronic corrections changes from $22\%$ to $-0.5\%$ as the squark mass is changed from 100 GeV to 600 GeV, for a gluino mass of 200 GeV. For a gluino mass of 150 GeV the squark-mass dependence is less abrupt; they change from $-5.3\%$ to $1\%$ as the squark mass is varied between 100 GeV and 600 GeV. We also present numerical results for differential cross section at the hadronic level, and percentage corrections at the parton level. PACS number(s): 14.80Dq; 12.38Bx; 14.80. Gt