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arXiv · 1806.11564

An Analytical Method for the NLO QCD Corrections to Double-Higgs Production

Roberto Bonciani·Giuseppe Degrassi·Pier Paolo Giardino·Ramona Gröber
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Abstract

We propose a new method to calculate analytically higher-order perturbative corrections and we apply it to the calculation of the two-loop virtual corrections to Higgs pair production through gluon fusion. The method is based on the expansion of the amplitudes in terms of a small Higgs transverse momentum. This approach gives a very good approximation (better than per-mille) of the partonic cross section in the center of mass energy region $\sqrt{\hat{s}} \lesssim 750$ GeV, where $\sim95\%$ of the total hadronic cross section is concentrated. The presented method is general and can be applied in a straightforward way to the computation of virtual higher-order corrections to other $2\to2$ processes, representing an improvement with respect to calculations based on heavy mass expansions.

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Roberto Bonciani, Giuseppe Degrassi, Pier Paolo Giardino, Ramona Gröber. 2018-06-29. An Analytical Method for the NLO QCD Corrections to Double-Higgs Production. https://doi.org/10.1103/physrevlett.121.162003

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