CALCULATING QCD CORRECTIONS TO SINGLE TOP PRODUCTION IN HADRONIC-INTERACTIONS

We give a detailed expose on the calculation of O(alpha(s)) correction s to the cross section for the semiweak production of single top quark s in hadronic interactions. After introducing the different sub-proces ses and defining their kinematics, we briefly recall the computation o f the O(alpha(2)) qb --> q't and O(alpha(s) alpha(2)) qg --> q't $$($) over bar b Born amplitudes squared. Next, the calculation of virtual and bremsstrahlung corrections is presented. We adopt a massive quark and massive gluon regularisation scheme. We explicitly demonstrate can cellations among various radiative corrections and we describe the pro cedure of absorbing remaining singularities in the parton density dist ribution functions. Finally, numerical results are given. We find a cr oss-section enhancement of roughly 30% (for m(t) approximate to 174 Ge V/c(2)) with respect to the Born contribution. We observe good agreeme nt between the exact calculation and the approach where the mass singu larity is subtracted from the sum of the O(alpha(2)) and O(alpha(s) al pha(2)) tree-level expressions.