I calculate the top quark forward-backward asymmetry at the Tevatron in both the laboratory frame and the tt¯ rest frame. I show that soft-gluon corrections are the dominant contribution to the asymmetry and closely approximate exact results through next-tonext-to-leading order (NNLO). I present a calculation of the asymmetry including approximate next-to-next-to-next-to-leading-order (N3LO) soft-gluon contributions from next-tonext-to-leading-logarithm (NNLL) resummation as well as electroweak corrections. Thus approximate N3LO (aN3LO) results are obtained, which significantly enhance and improve previous NNLO results. The theoretical aN3LO result for the top quark forward-backward asymmetry at the Tevatron in the laboratory frame is (6.8±0.3)%, and in the tt¯rest frame it is (10.0 ± 0.6)% which is in excellent agreement with recent Tevatron data.
Physical Review D
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