NNLO hard functions in massless QCD

Abstract

We derive the hard functions for all 2->2 processes in massless QCD up to next-to-next-to-leading order (NNLO) in the strong coupling constant. By employing the known one- and two-loop helicity amplitudes for these processes, we obtain analytic expressions for the ultraviolet and infrared finite, minimally subtracted hard functions, which are matrices in color space. These hard functions will be useful in carrying out higher-order resummations in processes such as dijet and highly energetic top-quark pair production by means of soft-collinear effective theory methods.

20 pages

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Cited by in corpus (29)

• Single-jet inclusive rates with exact color at $\mathcal{O}({\alpha }_s^4)$
• The Transverse Energy-Energy Correlator in the Back-to-Back Limit
• Parton distributions with threshold resummation
• Analyzing high-energy factorization beyond next-to-leading logarithmic accuracy
• Threshold and jet radius joint resummation for single-inclusive jet production
• Resummation for (boosted) top-quark pair production at NNLO+NNLL' in QCD
• Soft evolution of multi-jet final states
• Resummed differential cross sections for top-quark pairs at the LHC
• Phenomenology of single-inclusive jet production with jet radius and threshold resummation
• SCET approach to regularization-scheme dependence of QCD amplitudes
• Ultraviolet divergences and factorization for coordinate-space amplitudes
• Employing Helicity Amplitudes for Resummation
• Precise predictions for photon pair production matched to parton showers in GENEVA
• Threshold Resummation at NNLL for Single-particle Production in Hadronic Collisions
• Factorization of Non-Global LHC Observables and Resummation of Super-Leading Logarithms
• N-jettiness Subtractions for NNLO QCD Calculations
• Four-particle scattering amplitudes in QCD at NNLO to higher orders in the dimensional regulator
• Toward NNLL Threshold Resummation for Hadron Pair Production in Hadronic Collisions
• QCD resummation of dijet azimuthal decorrelations in pp and pA collisions
• Top-quark pair production at complete-NLO accuracy with NNLO+NNLL${}^{\prime }$ corrections in QCD
• Prospects for strong coupling measurement at hadron colliders using soft-drop jet mass
• Resummation for rapidity distributions in top-quark pair production
• Identified Hadron Production at Hadron Colliders in Next-to-Next-to-Leading-Order QCD
• $q_T$-slicing with multiple jets
• Open $B$-hadron production at hadron colliders in QCD at next-to-next-to-leading-order and next-to-next-to-leading-logarithmic accuracy
• QCD resummations for boosted top production
• Effective Field Theories for the LHC
• NNLO soft function for threshold single inclusive jet production
• Toward NNLL Resummation for Hadron Production in Hadronic Collisions