Abstract
I present higher-order corrections from soft-gluon emission for the associated production of a top quark with a $Z$ boson via anomalous $t\text{\ensuremath{-}}q\text{\ensuremath{-}}Z$ couplings at LHC energies. Approximate next-to-next-to-leading order (aNNLO) double-differential cross sections are derived from soft-gluon resummation at next-to-leading-logarithm accuracy. The total $tZ$ production cross sections and the top-quark transverse-momentum and rapidity distributions are calculated at aNNLO for various LHC energies. It is shown that the soft-gluon corrections are dominant and large for this process.
Highlights
The study of the top quark is a very important part of physics at the Large Hadron Collider (LHC)
We present numerical results for tZ production in pp collisions at LHC energies via top-quark t-q-Z anomalous couplings, via the partonic processes gu → tZ and gc → tZ
With only a few per mille difference between the approximate NLO (aNLO) and next-to-leading order (NLO) cross sections for gu → tZ, and less than two percent difference for gc → tZ
Summary
The study of the top quark is a very important part of physics at the Large Hadron Collider (LHC). In addition to the various Standard Model processes for top production, another possibility is production via top-quark anomalous couplings. One such process is the associated production of a top quark with a Z boson, see e.g. While tZ production may proceed in the Standard Model via processes involving an additional quark in the final state [22], in models of new physics with anomalous top-quark couplings it is possible to produce a tZ final state without any additional particles at lowest order. An effective Lagrangian that includes the coupling of a t, q pair to a Z boson in such processes may be written as ΔLeff
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