N3LO Corrections to Jet Production in Deep Inelastic Scattering using the Projection-to-Born Method

Abstract

Computations of higher-order QCD corrections for processes with exclusive final states require a subtraction method for real-radiation contributions. We present the first-ever generalisation of a subtraction method for third-order (N3LO) QCD corrections. The Projection-to-Born method is used to combine inclusive N3LO coefficient functions with an exclusive second-order (NNLO) calculation for a final state with an extra jet. The input requirements, advantages, and potential applications of the method are discussed, and validations at lower orders are performed. As a test case, we compute the N3LO corrections to kinematical distributions and production rates for single-jet production in deep inelastic scattering in the laboratory frame, and compare them with data from the ZEUS experiment at HERA. The corrections are small in the central rapidity region, where they stabilize the predictions to sub per-cent level. The corrections increase substantially towards forward rapidity where large logarithmic effects are expected, thereby yielding an improved description of the data in this region.

arXiv comment18 pages, 4 figures

References in corpus (79)

• A General Algorithm for Calculating Jet Cross Sections in NLO QCD
• Parton distributions from high-precision collider data
• The total top quark pair production cross-section at hadron colliders through O(alpha_S^4)
• The Three-Loop Splitting Functions in QCD: The Non-Singlet Case
• An NNLO subtraction formalism in hadron collisions and its application to Higgs boson production at the LHC
• High-precision QCD at hadron colliders: electroweak gauge boson rapidity distributions at NNLO
• The Three-Loop Splitting Functions in QCD: The Singlet Case
• Vector boson production at hadron colliders: a fully exclusive QCD calculation at NNLO
• Higgs boson gluon-fusion production in N3LO QCD
• Electroweak gauge boson production at hadron colliders through O(alpha_s^2)
• Antenna Subtraction at NNLO
• Hadronic Z- and tau-Decays in Order alpha_s^4
• ZZ production at hadron colliders in NNLO QCD
• The third-order QCD corrections to deep-inelastic scattering by photon exchange
• A novel subtraction scheme for double-real radiation at NNLO
• Z-boson production in association with a jet at next-to-next-to-leading order in perturbative QCD
• Higgs production via vector-boson fusion at NNLO in QCD
• $W^{+}{W}^{-}$ production at hadron colliders in NNLO QCD
• Fully differential VBF Higgs production at NNLO
• Dilepton rapidity distribution in the Drell-Yan process at NNLO in QCD
• $W$-boson production in association with a jet at next-to-next-to-leading order in perturbative QCD
• Higgs boson production in association with a jet at next-to-next-to-leading order
• Antenna subtraction with hadronic initial states
• High-precision differential predictions for top-quark pairs at the LHC
• Fully differential Higgs boson production and the di-photon signal through next-to-next-to-leading order
• NNLO predictions for the Higgs boson signal in the H->WW->lnu lnu and H->ZZ->4l decay channels
• Associated WH production at hadron colliders: a fully exclusive QCD calculation at NNLO
• Diphoton production at hadron colliders: a fully-differential QCD calculation at NNLO
• Higgs boson production at hadron colliders: differential cross sections through next-to-next-to-leading order
• Precise QCD predictions for the production of a Z boson in association with a hadronic jet
• Higgs Boson Production at Hadron Colliders at N3LO in QCD
• Adler Function, Bjorken Sum Rule, and the Crewther Relation to Order alpha_s^4 in a General Gauge Theory
• Infrared Structure at NNLO Using Antenna Subtraction
• A new method for real radiation at NNLO
• Deep Inelastic Structure Functions at two Loops
• Vector-boson fusion Higgs production at N${}^3$LO in QCD
• NNLO QCD predictions for single jet inclusive production at the LHC
• Gluon-Gluon Antenna Functions from Higgs Boson Decay
• Quark-Gluon Antenna Functions from Neutralino Decay
• Numerical evaluation of phase space integrals by sector decomposition
• ZZ production at the LHC: fiducial cross sections and distributions in NNLO QCD
• Antenna subtraction at NNLO with hadronic initial states: initial-final configurations
• $W^{\pm }Z$ production at hadron colliders in NNLO QCD
• Predictions for diphoton production at the LHC through NNLO in QCD
• Four-Loop Non-Singlet Splitting Functions in the Planar Limit and Beyond
• Multi-jet cross sections in deep inelastic scattering at next-to-leading order
• Event shapes and jet rates in electron-positron annihilation at NNLO
• NNLO QCD corrections to Higgs boson production at large transverse momentum
• Jet rates in electron-positron annihilation at O(α_s^3) in QCD
• Antenna subtraction at NNLO with hadronic initial states: double real initial-initial configurations
• Three-jet production in electron-positron collisions using the CoLoRFulNNLO method
• Infrared structure of e+e- --> 3 jets at NNLO
• Antenna subtraction at NNLO with hadronic initial states: double real radiation for initial-initial configurations with two quark flavours
• Precise predictions for dijet production at the LHC
• $W^{+}{W}^{-}$ production at the LHC: fiducial cross sections and distributions in NNLO QCD
• Large-nf Contributions to the Four-Loop Splitting Functions in QCD
• Direct photon production at next-to-next-to-leading order
• Third-order QCD corrections to the charged-current structure function F_3
• Antenna subtraction at NNLO with hadronic initial states: real-virtual initial-initial configurations
• Complete QCD Corrections to Hadronic $Z$--Decays in Order ${\alpha }_s^4$
• On Higgs decays to hadrons and the R-ratio at N^4LO
• EERAD3: Event shapes and jet rates in electron-positron annihilation at order ${\alpha }_s^3$
• NNLO QCD corrections to the transverse momentum distribution of weak gauge bosons
• NNLO QCD corrections to jet production in deep inelastic scattering
• Second-order QCD effects in Higgs boson production through vector boson fusion
• The Hadronic Final State at HERA
• Dijet Production at HERA in Next-to-Leading Order
• Dominant next-to-leading order QCD corrections to Higgs plus three jet production in vector-boson fusion
• Precise QCD predictions for the production of dijet final states in deep inelastic scattering
• A subtraction scheme for computing QCD jet cross sections at NNLO: integrating the subtraction terms I
• NNLO QCD corrections for Drell-Yan $p_T^Z$ and ${\varphi }^{\ast }$ observables at the LHC
• Precise predictions for the angular coefficients in Z-boson production at the LHC
• Next-to-Leading Order QCD Corrections to Jet Cross Sections and Jet Rates in Deeply Inelastic Electron Proton Scattering
• Single-inclusive jet production in electron-nucleon collisions through next-to-next-to-leading order in perturbative QCD
• $Z\gamma$ production at NNLO including anomalous couplings
• NNLO QCD corrections to event orientation in e+e- annihilation
• Complete O(alpha_s^2) Corrections to (2+1) Jet Cross Sections in Deep Inelastic Scattering
• Parton-shower effects on Higgs boson production via vector-boson fusion in association with three jets
• Projet: Jet Cross Sections in Deeply Inelastic Electron Proton Scattering (VERSION 4.1)

Cited by in corpus (49)

• The Large Hadron-Electron Collider at the HL-LHC
• 50 Years of Quantum Chromodynamics
• Collider Physics at the Precision Frontier
• Higgs boson production at the LHC using the $q_T$ subtraction formalism at N${}^3$LO QCD
• Single-jet inclusive rates with exact color at $\mathcal{O}({\alpha }_s^4)$
• Local Analytic Sector Subtraction at NNLO
• Di-lepton Rapidity Distribution in Drell-Yan Production to Third Order in QCD
• Event Generators for High-Energy Physics Experiments
• May the four be with you: Novel IR-subtraction methods to tackle NNLO calculations
• Removing infrared divergences from two-loop integrals
• Numerical Loop-Tree Duality: contour deformation and subtraction
• Les Houches 2021: Physics at TeV Colliders: Report on the Standard Model Precision Wishlist
• Factorisation and Subtraction beyond NLO
• Tree-level splitting amplitudes for a quark into four collinear partons
• Jet angularities in photoproduction at the Electron-Ion Collider
• Tree-level splitting amplitudes for a gluon into four collinear partons
• Hadronic Final States in DIS at NNLO QCD with Parton Showers
• Two-loop massless QCD corrections to the $g+g\to H+H$ four-point amplitude
• Locally finite two-loop amplitudes for off-shell multi-photon production in electron-positron annihilation
• Quantum algorithm for Feynman loop integrals
• A subtraction scheme for massive QED
• A general algorithm to build real-radiation antenna functions for higher-order calculations
• A POWHEG generator for deep inelastic scattering
• Analytic integration of soft and collinear radiation in factorised QCD cross sections at NNLO
• A general algorithm to build mixed real and virtual antenna functions for higher-order calculations
• Matrix Element Method at NLO for (anti-)${\mathbf{k}}_{\mathbf{t}}$-jet algorithms
• Probing Proton Structure at the Large Hadron electron Collider
• Matching N3LO QCD calculations to parton showers
• The parton-level structure of $e^{+}{e}^{-}$ to 2 jets at N${}^3$LO
• Locally finite two-loop QCD amplitudes from IR universality for electroweak production
• Initial-Final and Initial-Initial antenna functions for real radiation at next-to-leading order
• A Forward Branching Phase Space Generator for Hadron colliders
• A Phenomenological Analysis of LHC Neutrino Scattering at NLO Accuracy Matched to Parton Showers
• Independently Parameterised Momenta Variables and Monte Carlo IR Subtraction
• The parton-level structure of Higgs decays to hadrons at N${}^3$LO
• Two-loop $N$-jettiness soft function for $pp\to 2j$ production
• Sampling NNLO QCD phase space with normalizing flows
• 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
• Four-loop large-n_f contributions to the non-singlet structure functions F_2 and F_L
• disorder: Deep inelastic scattering at high orders
• N${}^3$LL + $\mathcal{O}({\alpha }_s^2)$ predictions of lepton-jet azimuthal angular distribution in deep-inelastic scattering
• General mass variable flavor number scheme for $Z$ boson production in association with a heavy quark at hadron colliders
• Fully Differential Higgs Boson Production to Third Order in QCD
• $q_T$-slicing with multiple jets
• An analysis of Bayesian estimates for missing higher orders in perturbative calculations
• NNLO soft function for threshold single inclusive jet production
• Event generation at MEPS@NLO accuracy in neutral and charged current DIS at the EIC
• Monte Carlo Event Generators for Future Lepton Colliders