Higgs boson production at the LHC using the $q_T$ subtraction formalism at N${}^3$LO QCD

Abstract

We consider higher-order QCD corrections to Higgs boson production through gluon-gluon fusion in the large top quark mass limit in hadron collisions. We extend the transverse-momentum ($q_T$) subtraction method to next-to-next-to-next-to-leading order (N${}^3$LO) and combine it with the NNLO Higgs-plus-jet calculation to numerically compute differential infrared-safe observables at N${}^3$LO for Higgs boson production in gluon fusion. To cancel the infrared divergences, we exploit the universal behaviour of the associated $q_T$ distributions in the small-$q_T$ region. We document all the necessary ingredients of the transverse-momentum subtraction method up to N${}^3$LO. The missing third order collinear functions, which contribute only at $q_T$ =0, are approximated using a prescription which uses the known result for the total Higgs boson cross section at this order. As a first application of the third-order $q_T$ subtraction method, we present the N${}^3$LO rapidity distribution of the Higgs boson at the LHC.

29 pages, 6 figures. Minor changes. One new figure. New version to match accepted version in JHEP

References in corpus (23)

• LHAPDF6: parton density access in the LHC precision era
• 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
• Higgs boson gluon-fusion production in N3LO QCD
• Drell-Yan production at small q_T, transverse parton distributions and the collinear anomaly
• Higgs Boson Production at Hadron Colliders at N3LO in QCD
• Vector-boson fusion Higgs production at N${}^3$LO in QCD
• Top mass effects in Higgs production at next-to-next-to-leading order QCD: virtual corrections
• QCD transverse-momentum resummation in gluon fusion processes
• Soft-/rapidity- anomalous dimensions correspondence
• Fiducial distributions in Higgs and Drell-Yan production at N${}^3$LL+NNLO
• NNLO QCD corrections to Higgs boson production at large transverse momentum
• Momentum-space resummation for transverse observables and the Higgs $p_{\perp }$ at N${}^3$LL+NNLO
• Threshold resummation at N${}^3$LL accuracy and soft-virtual cross sections at N${}^3$LO
• The N-jettiness soft function at next-to-next-to-leading order
• iHixs 2 - Inclusive Higgs Cross Sections
• Precision Predictions at N${}^3$LO for the Higgs Boson Rapidity Distribution at the LHC
• Precise QCD Description of the Higgs Boson Transverse Momentum Spectrum
• NNLO QCD corrections to the transverse momentum distribution of weak gauge bosons
• NNLO QCD corrections for Drell-Yan $p_T^Z$ and ${\varphi }^{\ast }$ observables at the LHC
• N3LO Corrections to Jet Production in Deep Inelastic Scattering using the Projection-to-Born Method
• Differential Higgs production at N3LO beyond threshold
• Multiple polylogarithms, cyclotomy and modular complexes

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