Abstract
We present the inclusive Higgs boson cross-section at the LHC with collision energy of 8 TeV. Our predictions are obtained using our publicly available program iHixs which incorporates NNLO QCD corrections and electroweak corrections. We review the convergence of the QCD perturbative expansion at this new energy and examine the impact of finite Higgs width effects. We also study the impact of different parton distribution functions on the cross-section. We present tables with the cross-section values and estimates for their uncertainty due to uncalculated higher orders in the perturbative expansion and parton densities.
Highlights
We present the inclusive Higgs boson cross-section at the LHC with collision energy of 8 TeV
We study the impact of different parton distribution functions on the cross-section
We have reviewed the sensitivity of the cross-section on all available NNLO sets of parton distribution functions which are available through LHAPDF [41]
Summary
The Higgs boson cross-section requires parton distribution functions (pdf) as input. In iHixs we employ all pdf sets that allow for NNLO evolution (MSTW08 [42], JR09 [43],NNPDF [44], ABM11 [45]) and are publicly available through the LHAPDF [17, 41] library. It is alarming to us that the extractions of αs based on quantities which are known precisely from theory, such as the total Z boson hadronic width [47], are in tension with the small value of αs of the ABM11 and JR sets This argument aside, 2The 68% confidence level uncertainty reduces the width of the band to about half, as it is anticipated by a naive error propagation of the gluon density uncertainty to the gluon partonic luminosity. One could attempt to enlarge further the pdf uncertainty that we have assigned to our benchmark MSTW08 set Such a remedy is inadequate for the calculation of the likelihood of a Higgs boson mass hypothesis in LHC data. We emphasize that signal-background interference effects must always be accounted for by dedicated calculations such as in refs. [48–52]
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