2018
DOI: 10.1007/jhep03(2018)020
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Reconstruction of top-quark mass effects in Higgs pair production and other gluon-fusion processes

Abstract: We propose a novel method for the treatment of top-quark mass effects in the production of H ( * ) , HH, HZ and ZZ final states in gluon fusion. We show that it is possible to reconstruct the full top-quark mass dependence of the virtual amplitudes from the corresponding large-m t expansion and the non-analytic part of the amplitude near the top-quark thresholdŝ = 4m 2 t with a Padé ansatz. The reliability of our method is clearly demonstrated by a comparison with the recent NLO result for Higgs pair productio… Show more

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Cited by 67 publications
(65 citation statements)
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“…[4,23]. Furthermore, they provide an indpendent cross check of the exact calculation [14] which relies heavily on numerical methods.…”
Section: Discussionmentioning
confidence: 99%
See 2 more Smart Citations
“…[4,23]. Furthermore, they provide an indpendent cross check of the exact calculation [14] which relies heavily on numerical methods.…”
Section: Discussionmentioning
confidence: 99%
“…[23] where the large top mass expansion has been combined with expansion terms obtained for the top threshold. A good approximation of the exact (purely numerical) result [14,15] has been constructed by combining the different kinematic regions using Padé approximants.…”
Section: Jhep03(2018)048mentioning
confidence: 99%
See 1 more Smart Citation
“…Approximations for the top-quark mass dependence of the two-loop amplitudes in the NLO calculation have been studied in ref. [28] via a Padé ansatz. Soft gluon resummation has been performed at NLO+NNLL in ref.…”
Section: Jhep05(2018)059mentioning
confidence: 99%
“…For instance, the understanding of the behaviour of the gg → HH amplitude near the top-pair production threshold has recently been used [20] to reconstruct the top-quark mass dependence of the two-loop amplitude [21,22] with high accuracy and the approach used there can also be applied at higher orders and for similar processes.…”
Section: Discussionmentioning
confidence: 99%