The N-jettiness soft function at next-to-next-to-leading order

Abstract

We present a general framework for the calculation of soft functions for SCET_I observables through next-to-next-to-leading order (NNLO) in the strong coupling constant. As an example of our formalism we show how it can be used to obtain the complete NNLO soft function for the $N$-jettiness event shape variable. We present numerical results for two examples with phenomenological impact: the one-jettiness soft function for both electron-proton and proton-proton collisions.

arXiv comment22 pages, 19 figures

References in corpus (47)

• A General Algorithm for Calculating Jet Cross Sections in NLO QCD
• An effective field theory for collinear and soft gluons: heavy to light decays
• Soft-Collinear Factorization in Effective Field Theory
• An NNLO subtraction formalism in hadron collisions and its application to Higgs boson production at the LHC
• 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
• An automatized algorithm to compute infrared divergent multi-loop integrals
• A Formalism for the Systematic Treatment of Rapidity Logarithms in Quantum Field Theory
• N-Jettiness: An Inclusive Event Shape to Veto Jets
• A novel subtraction scheme for double-real radiation at NNLO
• Infrared factorization of tree-level QCD amplitudes at the next-to-next-to-leading order and beyond
• The Rapidity Renormalization Group
• The soft-gluon current at one-loop order
• A new method for real radiation at NNLO
• Higgs and Z-boson production with a jet veto
• Jet p_T Resummation in Higgs Production at NNLL'+NNLO
• 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
• Two-Loop QCD Corrections to the Helicity Amplitudes for $H\to$ 3 partons
• A Two-Loop Four-Gluon Helicity Amplitude in QCD
• Analytic Regularization in Soft-Collinear Effective Theory
• NLL+NNLO predictions for jet-veto efficiencies in Higgs-boson and Drell-Yan production
• Two-loop QCD corrections to the scattering of massless distinct quarks
• A subtraction scheme for NNLO computations
• Factorization and NNLL Resummation for Higgs Production with a Jet Veto
• Two-loop QCD corrections to massless quark-gluon scattering
• Factorization and N^3LL_p+NNLO Predictions for the Higgs Cross Section with a Jet Veto
• The Quark Beam Function at Two Loops
• Two-loop QCD corrections to massless identical quark scattering
• The gluon jet function at two-loop order
• The Soft Function for Exclusive N-Jet Production at Hadron Colliders
• Non-global Structure of the O(α_s^2) Dijet Soft Function
• Two-loop QCD helicity amplitudes for $q\bar{q}\to W^{\pm }\gamma$ and $q\bar{q}\to Z^0\gamma$
• Resummation Properties of Jet Vetoes at the LHC
• Power corrections in the dispersive model for a determination of the strong coupling constant from the thrust distribution
• Using 1-Jettiness to Measure 2 Jets in DIS 3 Ways
• The Gluon Beam Function at Two Loops
• Resummation of jet-veto logarithms in hadronic processes containing jets
• Combining Resummed Higgs Predictions Across Jet Bins
• Reducing theoretical uncertainties for exclusive Higgs plus one-jet production at the LHC
• Quark masses in Higgs production with a jet veto
• The 1-Jettiness DIS event shape: NNLL + NLO results
• Rapidity-Dependent Jet Vetoes
• Probing nuclear dynamics in jet production with a global event shape
• Analytic Calculation of 1-Jettiness in DIS at $\mathcal{O}({\alpha }_s)$
• Jet vetoes for Higgs production at future hadron colliders

Cited by in corpus (87)

• Z-boson production in association with a jet at next-to-next-to-leading order in perturbative QCD
• Fully differential NNLO computations with MATRIX
• $W$-boson production in association with a jet at next-to-next-to-leading order in perturbative QCD
• Color singlet production at NNLO in MCFM
• Precise QCD predictions for the production of a Z boson in association with a hadronic jet
• NNLO QCD predictions for single jet inclusive production at the LHC
• $W^{\pm }Z$ production at the LHC: fiducial cross sections and distributions in NNLO QCD
• Subleading Power Corrections for N-Jettiness Subtractions
• Higgs boson production at the LHC using the $q_T$ subtraction formalism at N${}^3$LO QCD
• Direct photon production at next-to-next-to-leading order
• The $q_T$ subtraction method for top quark production at hadron colliders
• NNLO QCD corrections to jet production in deep inelastic scattering
• Phenomenology of the Z-boson plus jet process at NNLO
• N-Jettiness Subtractions for $gg\to H$ at Subleading Power
• The Transverse Energy-Energy Correlator in the Back-to-Back Limit
• Fiducial Drell-Yan production at the LHC improved by transverse-momentum resummation at N${}^4$LL+N${}^3$LO
• Power Corrections for N-Jettiness Subtractions at $\mathcal{O}({\alpha }_s)$
• Precise QCD predictions for the production of dijet final states in deep inelastic scattering
• Soft drop groomed jet angularities at the LHC
• May the four be with you: Novel IR-subtraction methods to tackle NNLO calculations
• XCone: N-jettiness as an Exclusive Cone Jet Algorithm
• Threshold and jet radius joint resummation for single-inclusive jet production
• Differential Higgs production at N3LO beyond threshold
• Single-top-quark production in the $t$-channel at NNLO
• Calculation of Feynman loop integration and phase-space integration via auxiliary mass flow
• The impact of the LHC Z-boson transverse momentum data on PDF determinations
• Les Houches 2021: Physics at TeV Colliders: Report on the Standard Model Precision Wishlist
• Factorization and Resummation for Generic Hierarchies between Jets
• Single-inclusive jet production in electron-nucleon collisions through next-to-next-to-leading order in perturbative QCD
• Jet production in charged-current deep-inelastic scattering to third order in QCD
• Tree-level splitting amplitudes for a quark into four collinear partons
• Phenomenology of single-inclusive jet production with jet radius and threshold resummation
• Generic dijet soft functions at two-loop order: correlated emissions
• SCET approach to regularization-scheme dependence of QCD amplitudes
• Driving Miss Data: Going up a gear to NNLO
• N-jettiness beam functions at N3LO
• H+1 jet production revisited
• Matching NNLO to parton shower using N${}^3$LL colour-singlet transverse momentum resummation in GENEVA
• A comparison of NNLO QCD predictions with 7 TeV ATLAS and CMS data for $V$+jet processes
• Employing Helicity Amplitudes for Resummation
• Tree-level splitting amplitudes for a gluon into four collinear partons
• Higher-order power corrections in a transverse-momentum cut for colour-singlet production at NLO
• The NNLO QCD soft function for 1-jettiness
• Higgs-differential cross section at NNLO in dimensional regularisation
• $H\to b\overline{b}j$ at Next-to-Next-to-Leading Order Accuracy
• Jet vetoes versus giant K-factors in the exclusive Z+1-jet cross section
• Third order QCD predictions for fiducial W-boson production
• Linear power corrections for two-body kinematics in the $q_T$ subtraction formalism
• Next-to-Next-to-Leading Order $N$-Jettiness Soft Function for One Massive Colored Particle Production at Hadron Colliders
• N-jettiness Subtractions for NNLO QCD Calculations
• The spin-dependent quark beam function at NNLO
• On phase-space integrals with Heaviside functions
• Bottom-induced contributions to Higgs plus jet at next-to-next-to-leading order
• Locally finite two-loop QCD amplitudes from IR universality for electroweak production
• Power corrections in a transverse-momentum cut for vector-boson production at NNLO: the $qg$-initiated real-virtual contribution
• Antenna subtraction at NNLO with identified hadrons
• Anti-$k_T$ jet function at next-to-next-to-leading order
• 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
• A Forward Branching Phase Space Generator for Hadron colliders
• Automated Calculation of Dijet Soft Functions in Soft-Collinear Effective Theory
• Hadron-in-jet production at partonic threshold
• The SAGEX Review on Scattering Amplitudes, Chapter 12: Amplitudes and collider physics
• Two-loop $N$-jettiness soft function for $pp\to 2j$ production
• Analytic Boosted Boson Discrimination
• Inclusive jet and dijet productions using $k_t$ and $(z,k_t)\text{-factorizations}$ versus ZEUS collaboration data
• Les Houches 2023 -- Physics at TeV Colliders: Report on the Standard Model Precision Wishlist
• Double-Real-Virtual and Double-Virtual-Real Corrections to the Three-Loop Thrust Soft Function
• One-loop corrections to the double-real emission contribution to the zero-jettiness soft function at N3LO in QCD
• Higgs plus one jet production at NNLO
• 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
• Precision DIS thrust predictions for HERA and EIC
• Fully Differential Higgs Boson Production to Third Order in QCD
• Automated Calculation of $N$-jet Soft Functions
• Five-Point Two-Loop Amplitudes from Numerical Unitarity
• Three-Loop QCD corrections to the production of a Higgs boson and a Jet
• The Unresolved Behaviour of Polarized Scattering Matrix Elements at NNLO in QCD
• Monte Carlo Event Generators
• Effective Field Theories for the LHC
• Standard Model Theory for Collider Physics
• Simulating collider physics on quantum computers using effective field theories
• Jet Charge with Global Event Shapes: Probing Quark Flavor Dynamics
• NNLO phenomenology using N-jettiness subtraction
• Higher-Order Corrections to Higgs Boson Amplitudes with Full Quark Mass Dependence in Quantum Chromodynamics
• Two-loop tensor integral coefficients in OpenLoops