I review calculations of soft-gluon corrections for top-quark production in hadron collisions. I describe theoretical formalisms for their resummation and for finite-order expansions. I show that soft-gluon corrections are dominant for a large number of top-quark processes. I discuss top-antitop pair production as well as single-top production, including total cross sections and differential distributions, and compare with data from the LHC and the Tevatron. I also discuss top-quark production in association with charged Higgs bosons, Z bosons, and other particles in models of new physics.In Section 5, I discuss single-top production, including t-channel and s-channel production, and tW production, and I present total cross sections and top-quark p T and rapidity distributions. In Section 6, I discuss top-quark production in association with a charged Higgs boson, and in association with gauge bosons via anomalous couplings in new-physics models. I conclude with a summary in Section 7.
Soft-gluon correctionsSoft-gluon corrections arise from the emission of low-energy gluons, and they result from incomplete cancellations of infrared divergences between virtual diagrams and diagrams with real emission.These corrections appear in the perturbative series as plus distributions involving logarithms of a variable that measures the kinematical distance from threshold. For the nth-order perturbative corrections, the leading logarithms are those with the highest power, 2n − 1; the next-to-leading logarithms have a power of 2n − 2; etc. The effects of soft-gluon corrections are particularly relevant near partonic threshold. At partonic threshold there is no energy for additional radiation, but the top quark may have non-zero momentum and is not restricted to be produced at rest. Thus, partonic threshold is a more general concept than production or absolute threshold, where the top quark is produced at rest.For top-antitop production, several threshold variables have been used for resummation. In single-particle-inclusive (1PI) kinematics, the partonic threshold variable is s 4 = s+t+u− m 2 where s, t, and u are the standard kinematical variables and the sum is over the masses squared of all particles in the scattering. At partonic threshold, s 4 → 0. In pair-invariant-mass (PIM) kinematics, the partonic threshold variable is 1 −z = 1 −M 2 tt /s, where M tt is the invariant mass of the top-antitop pair; at partonic threshold z → 1. In resummation using absolute threshold -a special limiting case of partonic threshold as we discussed above -the threshold variable is β = 1 − 4m 2 t /s, where m t is the top-quark mass; at absolute threshold, β → 0. Formalisms that use partonic threshold in 1PI or PIM kinematics involve a general resummation for double-differential distributions, from which single distributions or total cross sections can be derived by appropriate integrations. Formalisms that use absolute threshold are limited only to total cross sections.Similarly, 1PI kinematics have been used in resummations for single-top p...