Higgs boson production in association with a jet at next-to-next-to-leading order in perturbative QCD

Abstract

We report on a calculation of the cross-section for Higgs boson production in gluon fusion in association with a hadronic jet at next-to-next-to-leading order (NNLO) in perturbative QCD. The computational technique is discussed in detail. We show explicitly how to employ known soft and collinear limits of scattering amplitudes to construct subtraction terms for NNLO computations. Cancellation of singularities is demonstrated numerically for the collinearly-subtracted $gg\to H+j$ cross-section through NNLO and the finite ${\sigma }_{gg\to Hj}$ cross-section is computed through $\mathcal{O}({\alpha }_s^5)$ as a function of the center-of-mass collision energy. We present numerical results for the gluon-fusion contribution to Higgs production in association with a jet at the LHC. The NNLO QCD corrections significantly reduce the residual scale dependence of the cross-section. The computational method that we describe in this paper is applicable to the calculation of NNLO QCD corrections to any other $2\to 2$ process at a hadron collider

48 pages, 5 figures

References in corpus (23)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• An NNLO subtraction formalism in hadron collisions and its application to Higgs boson production at the LHC
• Vector boson production at hadron colliders: a fully exclusive QCD calculation at NNLO
• Electroweak gauge boson production at hadron colliders through O(alpha_s^2)
• A novel subtraction scheme for double-real radiation at NNLO
• Study of the mass and spin-parity of the Higgs boson candidate via its decays to Z boson pairs
• NNLO predictions for the Higgs boson signal in the H->WW->lnu lnu and H->ZZ->4l decay channels
• Higgs production via gluon-gluon fusion with finite top mass beyond next-to-leading order
• NNLO corrections to event shapes in $e^{+}{e}^{-}$ annihilation
• Infrared Structure at NNLO Using Antenna Subtraction
• NNLO corrections to 3-jet observables in electron-positron annihilation
• The W boson production cross section at the LHC through O(alpha_s^2)
• Next-to-Leading order Higgs + 2 jet production via gluon fusion
• Second order QCD corrections to jet production at hadron colliders: the all-gluon contribution
• Infrared structure of e+e- --> 3 jets at NNLO
• LHC HXSWG interim recommendations to explore the coupling structure of a Higgs-like particle
• $O({\alpha }_s^2)$ corrections to fully-differential top quark decays
• NLO QCD corrections to the production of Higgs plus two jets at the LHC
• Small x resummation of rapidity distributions: the case of Higgs production
• Finite-top-mass effects in NNLO Higgs production
• On the $O({\alpha }_s^2)$ corrections to $b\to X_{u}e\bar{\nu }$ inclusive decays
• A subtraction scheme for computing QCD jet cross sections at NNLO: integrating the doubly unresolved subtraction terms

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