Analytical Method for Next-to-Leading-Order QCD Corrections to Double-Higgs Production.

Roberto Bonciani,Ramona Gröber,Giuseppe Degrassi,Pier Paolo Giardino

doi:10.1103/physrevlett.121.162003

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[s[over ^]]≲750 GeV, where ∼95% 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→2 processes, representing an improvement with respect to calculations based on heavy mass expansions.

Highlights

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
We propose a new approach for the analytical calculation of the virtual next-to-leading order (NLO) corrections to the Higgs pair production through gluon fusion
Conclusion.—In this Letter we have proposed a novel approach for the analytical computation of the NLO virtual corrections to Higgs pair production through gluon fusion

Summary

Introduction

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. We propose a new approach for the analytical calculation of the virtual NLO corrections to the Higgs pair production through gluon fusion. Conclusion.—In this Letter we have proposed a novel approach for the analytical computation of the NLO virtual corrections to Higgs pair production through gluon fusion. M. Zerwas, Production of neutral Higgs boson pairs at LHC, Eur. Phys.

Results

Conclusion