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arXiv · 1709.07799

Reconstruction of top-quark mass effects in Higgs pair production and other gluon-fusion processes

Ramona Gröber·Andreas Maier·Thomas Rauh
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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 threshold $\hat{s}=4m_t^2$ with a Padé ansatz. The reliability of our method is clearly demonstrated by a comparison with the recent NLO result for Higgs pair production with full top-quark mass dependence.

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Ramona Gröber, Andreas Maier, Thomas Rauh. 2018-03-06. Reconstruction of top-quark mass effects in Higgs pair production and other gluon-fusion processes. https://doi.org/10.1007/jhep03(2018)020

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