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We compute the non-factorisable contribution to the two-loop helicity amplitude for $t$-channel single-top production, the last missing piece of the two-loop virtual corrections to this process.
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R. Bonciani and A. Ferroglia, Two-Loop QCD Corrections to the Heavy-to-Light Quark Decay , JHEP 11
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T. Huber, On a two-loop crossed six-line master integral with two massive lines , JHEP 03
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