Higgs boson production in association with a jet using jettiness subtraction

Abstract

We use the recently proposed jettiness-subtraction scheme to provide the complete calculation of Higgs boson production in association with a jet in hadronic collisions through next-to-nextto-leading order in perturbative QCD. This method exploits the observation that the N -jettiness event-shape variable completely describes the singularity structure of QCD when final-state colored particles are present. Our results are in agreement with a recent computation of the gg and qg partonic initial states based on sector-improved residue subtraction. We present phenomenological results for both fiducial cross sections and distributions at the LHC.

Jet-vetoed Higgs cross section in gluon fusion at N3LO+NNLL with small-R resummation

“…One observes a very considerable decrease in the uncertainties in going from NNLO to N 3 LO with only a modest change in the central values, associated with a small increase in the total cross section from the N 3 LO corrections [8] and a slight decrease in the low-p t efficiency associated with an increase in the 1-jet cross section at NNLO [9][10][11].…”

“…Since the first NNLO+NNLL predictions for the jet-veto, three important theoretical advances happened: firstly, the N 3 LO calculation of the total gluon-fusion cross section [8]; secondly the calculation of the NNLO corrections to the Higgs plus one-jet cross-section [9][10][11]; and finally the LL resummation of logarithms of the jet-radius R [12]. Given these recent advances, we are now in a position to improve on the previous prediction by extending the matching of the jet-veto cross-section to N 3 LO+NNLL+LL R .…”

“…Recently the i = 3 coefficient was computed both for σ tot [8] and forΣ (i) (p t,veto ) [9][10][11].…”

“…[11], in the heavy-top limit. In this computation the qq channel is included only up to NLO, and missing NNLO effects are estimated to be well below scale variation uncertainties [10].…”

“…Results are reported both at fixed-order, and including the various resummation effects. Figure 7 shows the inclusive one-jet cross section Σ ≥1-jet , for which the state-of-the-art fixed-order prediction is NNLO [9][10][11]. The left-hand plot shows the comparison between the best prediction at NNLO+NNLL+LL R , and the fixed-order at NNLO.…”