The gluon jet function at two-loop order

Abstract

The inclusive gluon jet function is evaluated at two-loop accuracy. This function is relevant for resummations of large perturbative logarithms in collider processes involving low-mass gluon jets. The jet function corresponds to the imaginary part of the gluon propagator in light-cone gauge, which is adopted for the calculation. In addition to the leading jet function, the power-suppressed two-gluon jet functions are given and their renormalization is discussed.

12 pages, 2 figures

References in corpus (31)

• Generating Feynman Diagrams and Amplitudes with FeynArts 3
• An effective field theory for collinear and soft gluons: heavy to light decays
• Soft-Collinear Factorization in Effective Field Theory
• The Three-Loop Splitting Functions in QCD: The Non-Singlet Case
• Soft-collinear effective theory and heavy-to-light currents beyond leading power
• Algorithm FIRE -- Feynman Integral REduction
• On the Structure of Infrared Singularities of Gauge-Theory Amplitudes
• Infrared singularities of scattering amplitudes in perturbative QCD
• Factorization constraints for soft anomalous dimensions in QCD scattering amplitudes
• Automatic Integral Reduction for Higher Order Perturbative Calculations
• Factorization and Momentum-Space Resummation in Deep-Inelastic Scattering
• Jet Shapes and Jet Algorithms in SCET
• Factorization at the LHC: From PDFs to Initial State Jets
• Factorization and Shape-Function Effects in Inclusive B-Meson Decays
• Threshold Resummation in Momentum Space from Effective Field Theory
• High-precision calculation of multi-loop Feynman integrals by difference equations
• Threshold Resummation for Dijet Cross Sections
• Two-Loop QCD Helicity Amplitudes for $e^{+}{e}^{-}\to 3$~Jets
• The Two-Loop QCD Matrix Element for $e^{+}{e}^{-}\to 3$ Jets
• Toward a NNLO calculation of the B-->X_s+gamma decay rate with a cut on photon energy: II. Two-loop result for the jet function
• Direct photon production with effective field theory
• Factorization at Subleading Power and Irreducible Uncertainties in $\bar{B}\to X_s\gamma$ Decay
• Toward a NNLO calculation of the B-->X_s gamma decay rate with a cut on photon energy: I. Two-loop result for the soft function
• On soft singularities at three loops and beyond
• Resumming the color-octet contribution to e+ e- -> J/psi + X
• Phase Space and Jet Definitions in SCET
• The Photon Spectrum in Upsilon Decays
• The Resummed Photon Spectrum in Radiative Upsilon Decays
• Subleading Jet Functions in Inclusive B Decays
• Jet Function with a Jet Algorithm in SCET
• Jets in Effective Theory: Summing Phase Space Logs

Cited by in corpus (78)

• QCD and strongly coupled gauge theories: challenges and perspectives
• Z-boson production in association with a jet at next-to-next-to-leading order in perturbative QCD
• $W$-boson production in association with a jet at next-to-next-to-leading order in perturbative QCD
• Color singlet production at NNLO in MCFM
• Analytic Regularization in Soft-Collinear Effective Theory
• Factorization for groomed jet substructure beyond the next-to-leading logarithm
• Subleading Power Corrections for N-Jettiness Subtractions
• The N-jettiness soft function at next-to-next-to-leading order
• Direct photon production at next-to-next-to-leading order
• Power Corrections in the N-jettiness Subtraction Scheme
• Towards the understanding of jet shapes and cross sections in heavy ion collisions using soft-collinear effective theory
• The Soft Function for Exclusive N-Jet Production at Hadron Colliders
• Leading-logarithmic threshold resummation of the Drell-Yan process at next-to-leading power
• Phenomenology of the Z-boson plus jet process at NNLO
• N-Jettiness Subtractions for $gg\to H$ at Subleading Power
• The Three-loop Quark Jet Function
• Power Corrections for N-Jettiness Subtractions at $\mathcal{O}({\alpha }_s)$
• Soft drop groomed jet angularities at the LHC
• Extending Precision Perturbative QCD with Track Functions
• Threshold and jet radius joint resummation for single-inclusive jet production
• $e^{+}{e}^{-}$ angularity distributions at NNLL${}^{\prime }$ accuracy
• Precision direct photon and W-boson spectra at high p_T and comparison to LHC data
• Resummation for W and Z production at large pT
• The groomed and ungroomed jet mass distribution for inclusive jet production at the LHC
• Transverse-momentum spectra of electroweak bosons near threshold at NNLO
• Factorization and Resummation for Generic Hierarchies between Jets
• Factorisation and Subtraction beyond NLO
• Renormalization Group Flows for Track Function Moments
• Gluon jet function at three loops in QCD
• Phenomenology of single-inclusive jet production with jet radius and threshold resummation
• SCET approach to regularization-scheme dependence of QCD amplitudes
• Driving Miss Data: Going up a gear to NNLO
• N-jettiness beam functions at N3LO
• Two-Loop Radiative Jet Function for Exclusive $B$-Meson and Higgs Decays
• H+1 jet production revisited
• Electroweak Sudakov effects in W, Z and gamma production at large transverse momentum
• A comparison of NNLO QCD predictions with 7 TeV ATLAS and CMS data for $V$+jet processes
• Heavy Quark Fragmenting Jet Functions
• NLL${}^{\prime }$ resummation of jet mass
• NNLO soft function for electroweak boson production at large transverse momentum
• Factorization for the light-jet mass and hemisphere soft function
• Resummed photon spectrum from dark matter annihilation for intermediate and narrow energy resolution
• Resummed predictions for hadronic Higgs boson decays
• The NNLO QCD soft function for 1-jettiness
• A case study of quark-gluon discrimination at NNLL' in comparison to parton showers
• On next to soft threshold corrections to DIS and SIA processes
• Relating amplitude and PDF factorisation through Wilson-line geometries
• Single Inclusive Jet Production in $pA$ Collisions at NLO in the small-$x$ regime
• Threshold Hadronic Event Shapes with Effective Field Theory
• Next-to-Next-to-Leading Order $N$-Jettiness Soft Function for One Massive Colored Particle Production at Hadron Colliders
• Projected transverse momentum resummation in top-antitop pair production at LHC
• Thrust distribution in Higgs decays at the next-to-leading order and beyond
• N-jettiness Subtractions for NNLO QCD Calculations
• Two-Loop Massive Quark Jet Functions in SCET
• Radiative Quark Jet Function with an External Gluon
• The spin-dependent quark beam function at NNLO
• Leading jets and energy loss
• Multi-Collinear Splitting Kernels for Track Function Evolution
• Bottom-induced contributions to Higgs plus jet at next-to-next-to-leading order
• Refactorisation in subleading $\bar{B}\to X_s\gamma$
• Precision direct photon spectra at high energy and comparison to the 8 TeV ATLAS data
• Hadronic decays of Higgs boson at NNLO matched with parton shower
• Soft Functions for Generic Jet Algorithms and Observables at Hadron Colliders
• Resummation prediction on the jet mass spectrum in one-jet inclusive production at the LHC
• Next-to-next-to-leading order $N$-jettiness soft function for $tW$ production
• The NNLO soft function for N-jettiness in hadronic collisions
• The transverse-momentum spectrum of Higgs bosons near threshold at NNLO
• Renormalization-group improved predictions for Higgs boson production at large $p_T$
• Gauge-boson production with multiple jets near threshold
• Two-loop $N$-jettiness soft function for $pp\to 2j$ production
• Thrust distribution in Higgs decays up to the fifth logarithmic order
• The DIS 1-Jettiness Event Shape at N${}^3$LL+$\mathcal{O}({\alpha }_s^2)$
• Region analysis of $H\to \gamma \gamma$ via a bottom quark loop
• Factorization and resummation for transverse thrust
• Soft-Collinear Effective Theory: BRST Formulation
• One-loop Jet Functions by Geometric Subtraction
• Decay of the charged Higgs boson and the top quark in two-Higgs-doublet model at NNLO in QCD
• NNLO phenomenology using N-jettiness subtraction