The semi-inclusive jet function in SCET and small radius resummation for inclusive jet production

Abstract

We introduce a new kind of jet function: the semi-inclusive jet function $J_i(z,{\omega }_J,\mu )$, which describes how a parton $i$ is transformed into a jet with a jet radius $R$ and energy fraction $z={\omega }_J/\omega$, with ${\omega }_J$ and $\omega$ being the large light-cone momentum component of the jet and the corresponding parton $i$ that initiates the jet, respectively. Within the framework of Soft Collinear Effective Theory (SCET) we calculate both $J_q(z,{\omega }_J,\mu )$ and $J_g(z,{\omega }_J,\mu )$ to the next-to-leading order (NLO) for cone and anti-k${}_{\mathrm{T}}$ algorithms. We demonstrate that the renormalization group (RG) equations for $J_i(z,{\omega }_J,\mu )$ follow exactly the usual DGLAP evolution, which can be used to perform the $\ln R$ resummation for {\it inclusive} jet cross sections with a small jet radius $R$. We clarify the difference between our RG equations for $J_i(z,{\omega }_J,\mu )$ and those for the so-called unmeasured jet functions $J_i({\omega }_J,\mu )$, widely used in SCET for {\it exclusive} jet production. Finally, we present applications of the new semi-inclusive jet functions to inclusive jet production in $e^{+}{e}^{-}$ and $pp$ collisions. We demonstrate that single inclusive jet production in these collisions shares the same short-distance hard functions as single inclusive hadron production, with only the fragmentation functions $D_i^h(z,\mu )$ replaced by $J_i(z,{\omega }_J,\mu )$. This can facilitate more efficient higher-order analytical computations of jet cross sections. We further match our $\ln R$ resummation at both LL${}_R$ and NLL${}_R$ to fixed NLO results and present the phenomenological implications for single inclusive jet production at the LHC.

35 pages, 11 figures, published version at JHEP

References in corpus (61)

• FastJet user manual
• An effective field theory for collinear and soft gluons: heavy to light decays
• Soft-Collinear Factorization in Effective Field Theory
• Implications of CTEQ global analysis for collider observables
• Jet substructure as a new Higgs search channel at the LHC
• Summing Sudakov logarithms in B -> X_s + gamma in effective field theory
• Invariant Operators in Collinear Effective Theory
• Improved Parton Distributions from Global Analysis of Recent Deep Inelastic Scattering and Inclusive Jet Data
• Hard Scattering Factorization from Effective Field Theory
• Inclusive Jet Production, Parton Distributions, and the Search for New Physics
• First Results from Pb+Pb collisions at the LHC
• Towards Jetography
• MRST2001: partons and alpha_S from precise deep inelastic scattering and Tevatron jet data
• Jet substructure as a new Higgs search channel at the LHC
• Boosted objects: a probe of beyond the Standard Model physics
• Fragmentation Functions from Flavour-inclusive and Flavour-tagged e^+e^- Annihilations
• Jet Substructure at the Tevatron and LHC: New results, new tools, new benchmarks
• Jet Shapes and Jet Algorithms in SCET
• Jet size dependence of single jet suppression in lead-lead collisions at sqrt(s(NN)) = 2.76 TeV with the ATLAS detector at the LHC
• Efficient evolution of unpolarized and polarized parton distributions with QCD-PEGASUS
• A practical Seedless Infrared-Safe Cone jet algorithm
• Next-to-leading order QCD corrections to high-p_T pion production in longitudinally polarized pp collisions
• Measurement of jet fragmentation in PbPb and pp collisions at sqrt(s[NN]) = 2.76 TeV
• Measurement of jet suppression in central Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 2.76 TeV
• Electron Ion Collider: The Next QCD Frontier - Understanding the glue that binds us all
• Measurement of inclusive jet charged-particle fragmentation functions in Pb+Pb collisions at $\sqrt{s_{NN}}=2.76$ TeV with the ATLAS detector
• Small-radius jets to all orders in QCD
• Second order QCD corrections to jet production at hadron colliders: the all-gluon contribution
• A theory of jet shapes and cross sections: from hadrons to nuclei
• An Effective Field Theory for Jet Processes
• Measurement of charged jet suppression in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}=2.76$ TeV
• Jet tomography of high-energy nucleus-nucleus collisions at next-to-leading order
• $\mathcal{O}({\alpha }_s^3)$ analysis of inclusive jet and di-jet production in heavy ion reactions at the Large Hadron Collider
• Jets in Hadron-Hadron Collisions
• Inclusive jet spectrum for small-radius jets
• Single-Inclusive Jet Production in Polarized pp Collisions at O(alpha_s^3)
• Heavy quarkonium production and polarization
• Heavy Quarkonium Production at Collider Energies: Factorization and Evolution
• Hadron Fragmentation Inside Jets in Hadronic Collisions
• Fragmentation contributions to hadroproduction of prompt $J/\psi$, ${\chi }_{cJ}$, and $\psi (2S)$ states
• Using 1-Jettiness to Measure 2 Jets in DIS 3 Ways
• Jet substructure using semi-inclusive jet functions within SCET
• Jet production in (un)polarized pp collisions: dependence on jet algorithm
• Heavy-ion collisions at the Large Hadron Collider: a review of the results from Run 1
• Approximate next-to-next-to-leading order corrections to hadronic jet production
• Standard Model Handles and Candles Working Group: Tools and Jets Summary Report
• A Soft-Collinear Mode for Jet Cross Sections in Soft Collinear Effective Theory
• Resummed Cross Section for Jet Production at Hadron Colliders
• Fragmentation Functions at Next-to-Next-to-Leading Order Accuracy
• Heavy Quarkonium Production at Collider Energies: Partonic Cross Section and Polarization
• QCD resummation for semi-inclusive hadron production processes
• The 1-Jettiness DIS event shape: NNLL + NLO results
• Jet fragmentation functions in proton-proton collisions using soft-collinear effective theory
• N-Jettiness as a probe of nuclear dynamics
• Single-Inclusive Production of Hadrons and Jets in Lepton-Nucleon Scattering at NLO
• Factorization for Jet Radius Logarithms in Jet Mass Spectra at the LHC
• Effective field theory approach to heavy quark fragmentation
• Probing nuclear dynamics in jet production with a global event shape
• QCD and Jets at Hadron Colliders
• Analytic Calculation of 1-Jettiness in DIS at $\mathcal{O}({\alpha }_s)$
• Jet Shapes in Dijet Events at the LHC in SCET

Cited by in corpus (103)

• 50 Years of Quantum Chromodynamics
• New Angles on Energy Correlation Functions
• The ALICE experiment: a journey through QCD
• Measurement of the nuclear modification factor for inclusive jets in Pb+Pb collisions at $\sqrt{s_{\mathrm{NN}}}=5.02$ TeV with the ATLAS detector
• Analyzing N-point Energy Correlators Inside Jets with CMS Open Data
• Probing the hardest branching of jets in heavy ion collisions
• Fragmentation of a Jet with Small Radius
• Lepton-jet Correlations in Deep Inelastic Scattering at the Electron-Ion Collider
• Measurements of inclusive jet spectra in pp and central Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 5.02 TeV
• Effective field theory approach to open heavy flavor production in heavy-ion collisions
• Resolving the Scales of the Quark-Gluon Plasma with Energy Correlators
• Jet substructure using semi-inclusive jet functions within SCET
• Transverse momentum dependent distributions with jets
• Transverse momentum dependent distributions in $e^{+}{e}^{-}$ and semi-inclusive deep-inelastic scattering using jets
• Anisotropy in Dijet Production in Exclusive and Inclusive Processes
• The transverse momentum distribution of hadrons within jets
• The Energy Distribution of Subjets and the Jet Shape
• Back-to-back inclusive dijets in DIS at small $x$: Sudakov suppression and gluon saturation at NLO
• Soft drop groomed jet angularities at the LHC
• Jet axes and universal transverse-momentum-dependent fragmentation
• Threshold and jet radius joint resummation for single-inclusive jet production
• Non-global logarithms in jet and isolation cone cross sections
• Using hadron-in-jet data in a global analysis of $D^{\ast }$ fragmentation functions
• Jet-based measurements of Sivers and Collins asymmetries at the future Electron-Ion Collider
• A New Paradigm for Precision Top Physics: Weighing the Top with Energy Correlators
• Analytic Continuation and Reciprocity Relation for Collinear Splitting in QCD
• The groomed and ungroomed jet mass distribution for inclusive jet production at the LHC
• Celestial Blocks and Transverse Spin in the Three-Point Energy Correlator
• Bayesian extraction of jet energy loss distributions in heavy-ion collisions
• Factorization of jet cross sections in heavy-ion collisions
• Cone size dependence of jet suppression in heavy-ion collisions
• Transverse Momentum Spectra at Threshold for Groomed Heavy Quark Jets
• Transverse spin effects in hard semi-inclusive collisions
• Phenomenology of single-inclusive jet production with jet radius and threshold resummation
• Jet angularities in photoproduction at the Electron-Ion Collider
• Asymmetric jet clustering in deep-inelastic scattering
• Probing Transverse-Momentum Dependent Evolution With Groomed Jets
• Conformal Colliders Meet the LHC
• Jet angularity measurements for single inclusive jet production
• Effective field theory approach to heavy quark fragmentation
• The soft drop groomed jet radius at NLL
• $J/\psi$ production and polarization within a jet
• Jet tomography in heavy ion collisions with deep learning
• Medium-induced fragmentation and equilibration of highly energetic partons
• Generalized Fragmentation Functions for Fractal Jet Observables
• Bulk medium evolution has considerable effects on jet observables
• Measurements of the groomed and ungroomed jet angularities in pp collisions at $\sqrt{s}=5.02$ TeV
• Fragmentation to a jet in the large $z$ limit
• Inclusive heavy flavor jet production with semi-inclusive jet functions: from proton to heavy-ion collisions
• Calculating the angle between jet axes
• Jet Veto Resummation with Jet Rapidity Cuts
• Phenomenology with a recoil-free jet axis: TMD fragmentation and the jet shape
• Quenching effects in the cumulative jet spectrum
• Two-Loop Beam and Soft Functions for Rapidity-Dependent Jet Vetoes
• Single Inclusive Jet Production in $pA$ Collisions at NLO in the small-$x$ regime
• Non-Gaussianities in Collider Energy Flux
• The Jet Shape at NLL${}^{\prime }$
• Nuclear matter effects on jet production at electron-ion colliders
• Heavy Quark Jet Fragmentation
• Jets and threshold summation in Deductor
• Emergence of high-energy dynamics from cascade-baryon detections at the LHC
• Soft Fragmentation on the Celestial Sphere
• Leading jets and energy loss
• Heavy quark jet production near threshold
• Dynamic Jet Charge
• Energy-Energy Correlator for jet production in $pp$ and $pA$ collisions
• EFT for Soft Drop Double Differential Cross Section
• The soft drop momentum sharing fraction $z_g$ beyond leading-logarithmic accuracy
• Anti-$k_T$ jet function at next-to-next-to-leading order
• Measurement of isolated photon-hadron correlations in $\sqrt{s_{\mathrm{NN}}}$ = 5.02 TeV pp and p-Pb collisions
• Jet energy drop
• The single-jet inclusive cross-section and its definition
• Pure Quark and Gluon Observables in Collinear Drop
• Prospects for strong coupling measurement at hadron colliders using soft-drop jet mass
• Measurement of the angle between jet axes in pp collisions at $\sqrt{s}=5.02$ TeV
• Two-loop anomalous dimensions for small-$R$ jet versus hadronic fragmentation functions
• Probing cold nuclear matter with energy correlators
• Spin correlations and Bell nonlocality in $\Lambda \bar{\Lambda }$ pair production from $e^{+}{e}^{-}$ collisions with a thrust cut
• Higgs Production at NNLL${}^{\prime }$+NNLO using Rapidity Dependent Jet Vetoes
• Measurement of inclusive charged-particle jet production in pp and p-Pb collisions at $\sqrt{s_{\mathrm{NN}}}=5.02$ TeV
• Factorized groomed jet mass distribution in inclusive jet processes
• QCD anatomy of photon isolation
• The leading jet transverse momentum in inclusive jet production and with a loose jet veto
• Exclusive heavy quark dijet cross section
• Polarized fragmenting jet functions in Inclusive and Exclusive Jet Production
• Probing the polarized photon content of the proton in $ep$ collisions at the EIC
• Energy Correlators Beyond Angles
• Nucleon tomography. What can we do better today than Rutherford 100 years ago?
• QCD factorization and universality of jet cross sections in heavy-ion collisions
• Subtracted Cumulants: Mitigating Large Background in Jet Substructure
• The Catchment Area of Groomed Jets at NNLL
• Mass suppression effect in QCD radiation and hadron angular distribution in jet
• One-loop Jet Functions by Geometric Subtraction
• Semi-inclusive jet cross sections within SCET
• Predictions for photon-jet correlations at forward rapidities in heavy-ion collisions
• The Drell-Yan Process at NNLL${}^{\prime }$+NNLO using Rapidity Dependent Jet Vetoes
• Semi-Inclusive Jet Functions and Jet Substructure in $J_{E_T}^{(I)}$ and $J_{E_T}^{(II)}$ Algorithms
• N-jettiness in electroweak high-energy processes
• Calculating the energy loss of leading jets
• Les Houches study on inclusive jet production at NNLO+NNLL
• Medium modified leading hadrons, jets and sub-jets in a single formalism
• Jet cone size dependence of single inclusive jet suppression due to jet quenching in Pb+Pb collisions at $\sqrt{s_{\mathrm{NN}}}=5.02$ TeV
• SCET for jet physics in the vacuum and the medium