Study of rare top quark decays into a jet plus a charged pseudoscalar meson

The semi-inclusive decay processes of a top quark into a charged pseudoscalar meson and a jet are studied within the framework of QCD factorization. The leading power of the decay matrix elements can be factorized into heavy-to-light quark transition current and a hadron matrix element up to next-to-leading-order QCD corrections. We calculate one-loop virtual corrections together with real gluon emission corrections at the <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mrow><a:msub><a:mrow><a:mi>α</a:mi></a:mrow><a:mrow><a:mi>s</a:mi></a:mrow></a:msub></a:mrow></a:math> order. The numerical results of the branching ratios are presented for the sum of two- and three-body decays. We also study the energy cutoff dependence of the gluon jet. These processes are hopeful to be detected in near future experiments, which can serve as probes for new physics.