Abstract
We present the Higgs boson production cross section at Hadron colliders in the gluon fusion production mode through N3LO in perturbative QCD. Specifically, we work in an effective theory where the top quark is assumed to be infinitely heavy and all other quarks are considered to be massless. Our result is the first exact formula for a partonic hadron collider cross section at N3LO in perturbative QCD. Furthermore, our result is an analytic computation of a hadron collider cross section involving elliptic integrals. We derive numerical predictions for the Higgs boson cross section at the LHC. Previously this result was approximated by an expansion of the cross section around the production threshold of the Higgs boson and we compare our findings. Finally, we study the impact of our new result on the state of the art prediction for the Higgs boson cross section at the LHC.
Highlights
The dominant production mechanism of a Higgs boson at the LHC is gluon fusion
We present the Higgs boson production cross section at Hadron colliders in the gluon fusion production mode through N3LO in perturbative QCD
In this article we go beyond the previous approximation of the N3LO corrections to the Higgs boson gluon fusion cross section in the effective theory (EFT) in terms of a threshold expansion and compute it exactly
Summary
In this article we consider scattering processes of two protons that produce at least a Higgs boson. QCD in an effective theory where the top quark is infinitely heavy and has been integrated out [10,11,12,13] In this theory the Higgs boson is coupled directly to gluons via an effective operator of dimension five [79,80,81,82], Leff. M(ijn→) H+m is the coefficient of αSn in the coupling constant expansion of the modulus squared of all amplitudes for partons i and j producing a final state Higgs boson and m partons summed over polarizations and colors. The super-script SV signifies that this term represents so-called soft-virtual contributions that arise from kinematic configurations where any parton produced in conjunction with Higgs boson is soft. We supply this result in a machine readable format in an ancillary file together with the arXiv submission of this article
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
