2014
DOI: 10.1103/physrevd.90.114024
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Calculation of two-loop QCD corrections for hadronic single top-quark production in thetchannel

Abstract: Abstract:In this article we discuss the calculation of single top-quark production in the t channel at two-loop order in QCD. In particular we present the decomposition of the amplitude according to its spin and colour structure and present complete results for the two-loop amplitudes in terms of master integrals. For the vertex corrections compact analytic expressions are given. The box contributions are implemented in a publicly available C program.

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Cited by 26 publications
(26 citation statements)
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“…For example, the full two-loop diagrams involve four different scales, the Mandelstam variables s and t, the top quark mass m t , and the W boson mass m W . A full two-loop amplitude of this complexity has not been obtained yet, either analytically or numerically, though interesting progress has been made [46,47]. To bypass this complexity, we adopt the structure-function approximation [22], namely, we systematically neglect virtual and real radiation interference between the light quark line and the heavy quark line.…”
Section: Theoretical Frameworkmentioning
confidence: 99%
“…For example, the full two-loop diagrams involve four different scales, the Mandelstam variables s and t, the top quark mass m t , and the W boson mass m W . A full two-loop amplitude of this complexity has not been obtained yet, either analytically or numerically, though interesting progress has been made [46,47]. To bypass this complexity, we adopt the structure-function approximation [22], namely, we systematically neglect virtual and real radiation interference between the light quark line and the heavy quark line.…”
Section: Theoretical Frameworkmentioning
confidence: 99%
“…The use of the (fully differential) structure function approximation builds on the observation that QCD interference between the light-quark line and the heavy-quark line vanishes at NLO and is suppressed at least by a factor of 1/N 2 c at NNLO. The use of such an approximation is also crucial for making this calculation feasible, because interference contributions between the light and heavy-quark lines are not yet available [30] for the full two-loop virtual diagrams. The structure function approximation at NNLO is also used in an earlier…”
mentioning
confidence: 99%
“…Restricting the analysis to the leading-color contribution, the calculation of the NNLO corrections is significantly simplified, since the double box contributions, notoriously difficult to calculate, drop out. As a step beyond this approximation the reduction of the double-box topologies to master integrals has been performed in [32]. However, the occurring master integrals are still unknown, although progress towards their evaluation has been made in [33], where some of the integrals are studied as sample applications.…”
Section: Introductionmentioning
confidence: 99%