Associated production of Higgs boson with vector boson at threshold N3LO in QCD

M C Kumar,M K Mandal,V Ravindran

doi:10.1007/jhep03(2015)037

Abstract

We present the results for the associated production of Higgs boson with vector boson computed at threshold N$^3$LO in QCD. We use the recently available result on the threshold contributions to the inclusive Drell-Yan production cross-section at third order in strong coupling constant. We have implemented it in the publicly available computer package vh@nnlo, thereby obtaining the numerical impact of threshold N$^3$LO contributions for the first time. We find that the inclusion of such corrections do reduce theoretical uncertainties resulting from the renormalization scale.

Highlights

Threshold corrections beyond NNLOThe inclusive production of Higgs boson in association with vector boson comes from factorizable and non factorizable partonic subprocesses
We present the results for the associated production of Higgs boson with vector boson computed at threshold N3LO in QCD
Anastasiou et al [39] have obtained the delta function part of the threshold N3LO contribution for the inclusive Higgs boson production through gluon fusion. This generated a plethora of results at threshold N3LO in QCD. These include inclusive DY production [40, 41], inclusive production of Higgs boson in bottom quark annihilation [42] and the general expression of the hard-virtual coefficient [43] combined with the threshold resummation at next-tonext-to-next-to-leading-logarithmic (N3LL) accuracy for the production cross section of a colourless heavy particle at threshold N3LO

Summary

Threshold corrections beyond NNLO

The inclusive production of Higgs boson in association with vector boson comes from factorizable and non factorizable partonic subprocesses. At N3LO level in QCD, SV part requires quark form factor as well as the diagonal terms of the mass factorization kernels up to three loop level and the contributions of soft gluon radiations in the single, double and triple gluon emission subprocesses to third order in the strong coupling constant. A spectacular achievement by Anastasiou et al [39] in obtaining the contributions of the third order soft gluon radiations for the inclusive Higgs production process and for the better understanding of the soft gluon resummation paved the way to obtain several third order results as has been discussed earlier in the section 1. For SU(N ) gauge theory, nf is the number of active quark flavours and nf,v is the effective number of flavours resulting from some special class of diagrams at three loop level [31]

Numerical results

Findings

Conclusion