Jun Gao, Chong Sheng Li, Hua Xing Zhu
We present the complete calculations of top quark decay width at next-to-next-to-leading order in QCD, including next-to-leading electroweak corrections as well as finite bottom quark mass and W boson width effects. Especially we also show the first results of the fully differential decay rates for top-quark semileptonic decay $t\to W^+(l^+\nu)b$ at next-to-next-to-leading order in QCD. Our method is based on the understanding of the invariant mass distribution of final-state jet in the singular limit from effective field theory. Our result can be used to study arbitrary infrared-safe observables of top quark decay with the highest perturbative accuracy.
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http://arxiv.org/abs/1210.2808
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