Macroeconomics

Quantum mechanics

Algorithm

Higgs boson

Nuclear physics

Particle physics

Energy (signal processing)

Gluon

Computation

Hadron

Economics

Energy–momentum relation

Computer science

Cross section (physics)

Physics

Amplitude

Mathematics

Loop (graph theory)

Momentum (technical analysis)

Combinatorics

Pair production

Center of mass (relativistic)

Finance

Perturbative QCD

Quantum chromodynamics

Order (exchange)

Production (economics)

Physical Review Letters

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.

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