Abstract
We calculate the next-to-next-to-next-to-leading order (N$^3$LO) QCD corrections to vector-boson fusion (VBF) Higgs pair production in the limit in which there is no partonic exchange between the two protons. We show that the inclusive cross section receives negligible corrections at this order, while the scale variation uncertainties are reduced by a factor four. We present differential distributions for the transverse momentum and rapidity of the final state Higgs bosons, and show that there is almost no kinematic dependence to the third order corrections. Finally we study the impact of deviations from the Standard Model in the trilinear Higgs coupling, and show that the structure of the higher order corrections does not depend on the self-coupling. These results are implemented in the latest release of the proVBFH-incl program.
Highlights
Following the discovery of the Higgs boson in 2012 [1,2], it has become a primary focus of the experimental program of the Large Hadron Collider (LHC) to measure its properties
Together with the fully differential next-to-next-to-leading order (NNLO) calculation presented in a companion paper [26], this brings the di-Higgs production channel to the same theoretical accuracy as has been achieved for the singleHiggs process, opening up the prospect of precision studies of the Higgs sector through Higgs pair production at the high energy LHC (HE-LHC) and at future hadron colliders
We have presented differential distributions of the Higgs pair transverse momentum, rapidity and invariant mass for the 27 TeV HE-LHC
Summary
Following the discovery of the Higgs boson in 2012 [1,2], it has become a primary focus of the experimental program of the Large Hadron Collider (LHC) to measure its properties. While it is only the second largest channel after gluon-gluon fusion, the VBF production mode is one of particular interest for several reasons: the presence of two tagging jets allows for a significant reduction of the large backgrounds through an appropriate choice of cuts, it is sensitive to deviations from the SM in the trilinear Higgs coupling [21], and it is a promising channel for measurements of the hhVV quartic coupling at the LHC [22]. Together with a companion paper presenting the fully differential NNLO calculation [26], this brings the VBF double Higgs channel to the same theoretical accuracy as single-Higgs VBF production [27,28,29,30] These results are obtained using the structure function approach [31], which is the limit in which there is no partonic exchange between.
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