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Phys Rev Lett. 2013 Jan 25;110(4):042001. Epub 2013 Jan 24.

Top-quark decay at next-to-next-to-leading order in QCD.

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Department of Physics, Southern Methodist University, Dallas, Texas 75275-0175, USA.
Department of Physics and State Key Laboratory of Nuclear Physics and Technology, Peking University, Beijing 100871, China and Center for High Energy Physics, Peking University, Beijing 100871, China.
SLAC National Accelerator Laboratory, Stanford University, Stanford, California 94309, USA.


We present the complete calculation of the 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. In particular, we also show the first results of the fully differential decay rates for the top-quark semileptonic decay t → W(+)(l(+)ν)b at next-to-next-to-leading order in QCD. Our method is based on the understanding of the invariant mass distribution of the 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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