The Soft Function for Exclusive N-Jet Production at Hadron Colliders

Abstract

The N-jettiness event shape divides phase space into N+2 regions, each containing one jet or beam. Using a geometric measure these regions correspond to jets with circular boundaries. We give a factorization theorem for the cross section fully differential in the (transverse) mass of each jet, and compute the corresponding soft function at next-to-leading order (NLO). The ultraviolet divergences are analytically extracted by exploiting hemispheres for interactions between each pair of hard partons, leaving only convergent integrals that are sensitive to the precise boundaries. This method can be applied in general to N-jet soft functions, including other observables. For N-jettiness, the final result for the soft function involves stable one-dimensional numerical integrals, and all ingredients are now available to extend NLO cross sections to resummed predictions at next-to-next-to-leading logarithmic order.

16 pages, 5 figures, v2: journal version

References in corpus (49)

• An effective field theory for collinear and soft gluons: heavy to light decays
• Soft-Collinear Factorization in Effective Field Theory
• Summing Sudakov logarithms in B -> X_s + gamma in effective field theory
• Identifying Boosted Objects with N-subjettiness
• Invariant Operators in Collinear Effective Theory
• Hard Scattering Factorization from Effective Field Theory
• CutTools: a program implementing the OPP reduction method to compute one-loop amplitudes
• Resummation of non-global QCD observables
• On the Structure of Infrared Singularities of Gauge-Theory Amplitudes
• An Automated Implementation of On-Shell Methods for One-Loop Amplitudes
• Infrared singularities of scattering amplitudes in perturbative QCD
• N-Jettiness: An Inclusive Event Shape to Veto Jets
• Factorization constraints for soft anomalous dimensions in QCD scattering amplitudes
• Jet Shapes and Jet Algorithms in SCET
• Assault on the NLO Wishlist: pp -> tt bb
• Factorization at the LHC: From PDFs to Initial State Jets
• The Two-loop Soft Anomalous Dimension Matrix and Resummation at Next-to-next-to Leading Pole
• Renormalization-Group Improved Predictions for Top-Quark Pair Production at Hadron Colliders
• Higgs Production with a Central Jet Veto at NNLL+NNLO
• NLO QCD corrections to pp -> t anti-t b anti-b + X at the LHC
• Scattering AMplitudes from Unitarity-based Reduction Algorithm at the Integrand-level
• Top Jets in the Peak Region: Factorization Analysis with NLL Resummation
• Away-from-jet energy flow
• Phenomenology of event shapes at hadron colliders
• Deep inelastic scattering as x -> 1 using soft-collinear effective theory
• Radiative corrections to Zb{\bar b} production
• 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
• The Quark Beam Function at NNLL
• Resummation and NLO Matching of Event Shapes with Effective Field Theory
• Resummed event shapes at hadron-hadron colliders
• Direct photon production with effective field theory
• Threshold resummation for pair production of coloured heavy (s)particles at hadron colliders
• On soft singularities at three loops and beyond
• Factorization Structure of Gauge Theory Amplitudes and Application to Hard Scattering Processes at the LHC
• The gluon jet function at two-loop order
• Enhanced Nonperturbative Effects in Z Decays to Hadrons
• Non-global logarithms and jet algorithms in high-pT jet shapes
• The Beam Thrust Cross Section for Drell-Yan at NNLL Order
• Factorization and Resummation of Higgs Boson Differential Distributions in Soft-Collinear Effective Theory
• Electroweak Corrections using Effective Field Theory: Applications to the LHC
• Resummation of Large Endpoint Corrections to Color-Octet J/psi Photoproduction
• One-loop amplitudes for W+3 jet production in hadron collisions
• Transverse Momentum Distribution Through Soft-Gluon Resummation in Effective Field Theory
• Factorization for generic jet production
• 1-loop matching and NNLL resummation for all partonic 2 to 2 processes in QCD
• Consistent Factorization of Jet Observables in Exclusive Multijet Cross-Sections
• Rest Frame Subjet Algorithm With SISCone Jet For Fully Hadronic Decaying Higgs Search
• On large angle multiple gluon radiation
• Jet Function with a Jet Algorithm in SCET

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• The ALICE experiment: a journey through QCD
• Combining Higher-Order Resummation with Multiple NLO Calculations and Parton Showers in GENEVA
• Subleading Power Corrections for N-Jettiness Subtractions
• The N-jettiness soft function at next-to-next-to-leading order
• The Quark Beam Function at Two Loops
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• Jet Mass Spectra in Higgs + One Jet at NNLL
• Precision Jet Substructure from Boosted Event Shapes
• Next-to-leading-logarithmic power corrections for $N$-jettiness subtraction in color-singlet production
• Using 1-Jettiness to Measure 2 Jets in DIS 3 Ways
• Fully-Unintegrated Parton Distribution and Fragmentation Functions at Perturbative k_T
• N-Jettiness Subtractions for $gg\to H$ at Subleading Power
• The Transverse Energy-Energy Correlator in the Back-to-Back Limit
• Power Corrections for N-Jettiness Subtractions at $\mathcal{O}({\alpha }_s)$
• XCone: N-jettiness as an Exclusive Cone Jet Algorithm
• Resummation of Jet Mass at Hadron Colliders
• Single-top-quark production in the $t$-channel at NNLO
• A Toolbox for $q_T$ and $0$-Jettiness Subtractions at N${}^3$LO
• Dissecting Soft Radiation with Factorization
• The Sudakov radiator for jet observables and the soft physical coupling
• The 1-Jettiness DIS event shape: NNLL + NLO results
• Factorization and Resummation for Generic Hierarchies between Jets
• Next-to-leading power corrections to $V+1$ jet production in $N$-jettiness subtraction
• Rapidity-Dependent Jet Vetoes
• Joint Two-Dimensional Resummation in $q_T$ and $0$-Jettiness at NNLL
• N-jettiness beam functions at N3LO
• N-Jettiness as a probe of nuclear dynamics
• Jet mass with a jet veto at two loops and the universality of non-global structure
• H+1 jet production revisited
• Factorization for Jet Radius Logarithms in Jet Mass Spectra at the LHC
• Employing Helicity Amplitudes for Resummation
• Probing nuclear dynamics in jet production with a global event shape
• The NNLO QCD soft function for 1-jettiness
• Zero-jettiness resummation for top-quark pair production at the LHC
• Gauge theory webs and surfaces
• Next-to-Next-to-Leading Order $N$-Jettiness Soft Function for One Massive Colored Particle Production at Hadron Colliders
• Collinear expansion for color singlet cross sections
• Bottom-induced contributions to Higgs plus jet at next-to-next-to-leading order
• Structure of rapidity divergences in soft factors
• Sudakov Shoulder Resummation for Thrust and Heavy Jet Mass
• Dissecting the collinear structure of quark splitting at NNLL
• Soft Functions for Generic Jet Algorithms and Observables at Hadron Colliders
• Near-to-planar three-jet events at NNLL accuracy
• Next-to-next-to-leading order $N$-jettiness soft function for $tW$ production
• Zero-jettiness soft function to third order in perturbative QCD
• The NNLO soft function for N-jettiness in hadronic collisions
• Gauge-boson production with multiple jets near threshold
• A general method for the resummation of event-shape distributions in e^+e^- annihilation
• Analytic Boosted Boson Discrimination
• A numerical formulation of resummation in effective field theory
• Disentangling observable dependence in SCETI and SCETII anomalous dimensions: angularities at two loops
• A formalism for the resummation of non-factorizable observables in SCET
• The DIS 1-Jettiness Event Shape at N${}^3$LL+$\mathcal{O}({\alpha }_s^2)$
• Combining Fixed-Order Helicity Amplitudes With Resummation Using SCET
• Streamlining resummed QCD calculations using Monte Carlo integration
• The 1-Jettiness event shape for DIS with NNLL resummation
• Jet Physics from Static Charges in AdS
• N-jettiness in electroweak high-energy processes
• Effective Field Theories for the LHC
• Jet Charge with Global Event Shapes: Probing Quark Flavor Dynamics
• QCD resummation for high-p${}_T$ jet shapes at hadron colliders
• QCD Beyond Leading Power
• Simulating collider physics on quantum computers using effective field theories