Semi-Inclusive Jet Functions and Jet Substructure in $J_{E_T}^{(I)}$ and $J_{E_T}^{(II)}$ Algorithms

Abstract

Within the framework of Soft Collinear Effective Theory, we present calculations of semi-inclusive jet functions and fragmenting jet functions at next-to-leading order (NLO) for both quark- and gluon-initiated jets, for jet algorithms of $J_{E_T}^{(I)}$ and $J_{E_T}^{(II)}$ where one maximizes a suitable jet function. We demonstrate the consistency of the obtained results with the standard perturbative QCD calculations for $J_{E_T}^{(I)}$ algorithm, while the results for fragmenting jet functions with the $J_{E_T}^{(II)}$ algorithm are new. The renormalization group (RG) equation for both semi-inclusive jet functions and fragmenting jet functions are derived and shown to follow the time-like DGLAP evolution equations, independent of specific jet algorithms. The RG equation can be used to resum single logarithms of the jet size parameter $\beta$ for highly collimated jets in these algorithms where $\beta \gg 1$.

arXiv comment16 pages, 2 figures, typos corrected, some analytical results updated

References in corpus (50)

• The anti-k_t jet clustering algorithm
• Quantum Annealing in the Transverse Ising Model
• An effective field theory for collinear and soft gluons: heavy to light decays
• Soft-Collinear Factorization in Effective Field Theory
• Successive Combination Jet Algorithm For Hadron Collisions
• Better Jet Clustering Algorithms
• Jet substructure as a new Higgs search channel 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
• Improved Parton Distributions from Global Analysis of Recent Deep Inelastic Scattering and Inclusive Jet Data
• Inclusive Jet Production, Parton Distributions, and the Search for New Physics
• First Results from Pb+Pb collisions at the LHC
• Towards Jetography
• N-Jettiness: An Inclusive Event Shape to Veto Jets
• MRST2001: partons and alpha_S from precise deep inelastic scattering and Tevatron jet data
• Maximizing Boosted Top Identification by Minimizing N-subjettiness
• Jet Substructure at the Large Hadron Collider: A Review of Recent Advances in Theory and Machine Learning
• Jet Substructure at the Tevatron and LHC: New results, new tools, new benchmarks
• Jet Shapes and Jet Algorithms in SCET
• Review of Jet Measurements in Heavy Ion Collisions
• A practical Seedless Infrared-Safe Cone jet algorithm
• Small-radius jets to all orders in QCD
• The semi-inclusive jet function in SCET and small radius resummation for inclusive jet production
• A theory of jet shapes and cross sections: from hadrons to nuclei
• Jet tomography of high-energy nucleus-nucleus collisions at next-to-leading order
• Jets in Hadron-Hadron Collisions
• Jet Mass Spectra in Higgs + One Jet at NNLL
• Quark Fragmentation within an Identified Jet
• Fragmentation of a Jet with Small Radius
• Hadron Fragmentation Inside Jets in Hadronic Collisions
• Jet substructure using semi-inclusive jet functions within SCET
• Heavy-ion collisions at the Large Hadron Collider: a review of the results from Run 1
• Inclusive production of small radius jets in heavy-ion collisions
• Quantum Algorithms for Jet Clustering
• The Energy Distribution of Subjets and the Jet Shape
• Standard Model Handles and Candles Working Group: Tools and Jets Summary Report
• NRQCD Confronts LHCb Data on Quarkonium Production within Jets
• Fragmentation in Jets: Cone and Threshold Effects
• Jets as precision probes in electron-nucleus collisions at the Electron-Ion Collider
• Jet angularities in photoproduction at the Electron-Ion Collider
• Effective field theory approach to heavy quark fragmentation
• $J/\psi$ production and polarization within a jet
• Experimental Aspects of Jet Physics at a Future EIC
• QCD and Jets at Hadron Colliders
• Inclusive heavy flavor jet production with semi-inclusive jet functions: from proton to heavy-ion collisions
• Heavy Quark Jet Fragmentation
• Next-to-leading Order Calculation for Jets Defined by a Maximized Jet Function
• Separated at Birth: Jet Maximization, Axis Minimization, and Stable Cone Finding
• $J_{E_T}^{\mathrm{II}}$: A Two-prong Jet Finding Algorithm

Cited by in corpus (1)

• Global analysis of fragmentation functions to light neutral hadrons