2018
DOI: 10.1007/jhep03(2018)085
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Polarized double-virtual amplitudes for heavy-quark pair production

Abstract: We present the two-loop virtual amplitudes for heavy-quark pair production in light quark-antiquark annihilation and gluon fusion channels, including full spin and color dependence. We use expansions around kinematical limits and numerical integration to obtain results for the involved master integrals. From these, we determine the renormalised infrared finite remainders of the coefficients of amplitude decompositions in terms of color and spin structures. The remainders are given in form of numerical interpol… Show more

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Cited by 23 publications
(24 citation statements)
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“…(5) (or similar variance for the color-octet channels), where the analytic helicity amplitudes for a heavy quark pair production are known in the literature (see, e.g., in Ref. [50]). The final differential cross sections of DPS 2 are obtained via Eq.…”
Section: A Double Parton Scatteringmentioning
confidence: 99%
“…(5) (or similar variance for the color-octet channels), where the analytic helicity amplitudes for a heavy quark pair production are known in the literature (see, e.g., in Ref. [50]). The final differential cross sections of DPS 2 are obtained via Eq.…”
Section: A Double Parton Scatteringmentioning
confidence: 99%
“…A key ingredient to these calculations are the two-loop QCD corrections to the matrix elements for top pair production in quark-antiquark annihilation and gluon fusion. While numerical representations of these two-loop matrix elements were derived already some time ago [10,11], only partial analytical results are available for them up to now [12][13][14][15] (and used in partial validations [16,17] of the total NNLO cross section calculation). Such analytical results allow in-depth investigations into the structure of the matrix elements, enabling to investigate limiting behaviors and analyticity structures, as well as providing an independent approach to their numerical evaluation.…”
Section: Introductionmentioning
confidence: 99%
“…Following [29,30] we employ a hybrid renormalisation scheme where the gluon field G µ and the top quark mass m t are in the on-shell scheme while the strong coupling constant α s is renormalised in the MS scheme. We have…”
Section: Pole Structurementioning
confidence: 99%