Jet shapes and jet algorithms in SCET

By S. D. Ellis, C. Vermilion, Jonathan R. Walsh, A. Hornig, Christopher Lee. 2010

239 citations recorded by the source corpus.

Jet shapes are weighted sums over the four-momenta of the constituents of a jet and reveal details of its internal structure, potentially allowing discrimination of its partonic origin. In this work we make predictions for quark and gluon jet shape distributions in N-jet final states in e+e− collisions, defined with a cone or recombination algorithm, where we measure some jet shape observable on a subset of these jets. Using the framework of Soft-Collinear Effective Theory, we prove a factorization theorem for jet shape distributions and demonstrate the consistent renormalization-group running of the functions in the factorization theorem for any number of measured and unmeasured jets, any number of quark and gluon jets, and any angular size R of the jets, as long as R is much smaller than the angular separation between jets. We calculate the jet and soft functions for angularity jet shapes τα to one-loop order $ \left( {\mathcal{O}\left( {{\alpha_s}} \right)} \right) $ and resum a subset of the large logarithms of τα needed for next-to-leading logarithmic (NLL) accuracy for both cone and kT-type jets. We compare our predictions for the resummed τα distribution of a quark or a gluon jet produced in a 3-jet final state in e+e− annihilation to the output of a Monte Carlo event generator and find that the dependence on a and R is very similar.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/0c0a585cc6356977fb366da3d94cf8e906db079c

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In Nuclear and High Energy Physics

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Citations in the corpus

• Gaining (mutual) information about quark/gluon discrimination (2014, unknown): “[30]), and we summarize the results here.”
• Jet substructure at the Large Hadron Collider: A review of recent advances in theory and machine learning (2017, background): “[200] is that they ignored recoil and so could not calculate observables like broadening.”
• Analytic boosted boson discrimination (2015, background): “This scaling should be recognized as the usual power counting of the collinear and soft modes for the angularities with angular exponent β [74, 110].”
• Soft drop (2014, background): “The value α = 2 is related to jet thrust/mass [7, 91, 107], α = 1 is related to jet broadening/girth/width [25, 47], and arbitrary α > 0 is related to the recoil-free angularities [102].”
• Energy correlation functions for jet substructure (2013, background): “On the theoretical side, there has been substantial progress in computing and understanding these observables and procedures in perturbative QCD [15–23].”
• Jet shapes with the broadening axis (2014, methodology): “[14] and apply it to the jet-based broadening-axis angularities for all β > 0.”
• Jet substructure at the Tevatron and LHC: new results, new tools, new benchmarksReport prepared by the participants of the BOOST 2011 Workshop at Princeton University, 22–26 May 2011. L Asquith (lasquith@hep.anl.gov), S Rappoccio (rappocc@fnal.gov) and C K Vermilion (verm@uw.edu), editors. (2011, methodology): “τ (β) 1 is similar to jet angularities, a jet shaped defined for e+e− events [53, 106, 98, 54].”
• Systematics of quark/gluon tagging (2017, unknown): “[1]. ar X iv :1 Contents”
• The semi-inclusive jet function in SCET and small radius resummation for inclusive jet production (2016, methodology): “It was shown carefully in [55] that the contributions from the above situations 2 and 3 (i.”
• The quark beam function at NNLL (2010, background): “The specific type of beam function may depend on details of the measurements, much as how jet functions depend on the algorithm used to identify radiation in the jet [7, 8, 9].”
• Factorization for groomed jet substructure beyond the next-to-leading logarithm (2016, background): “1 e+e− → qq̄ The one-loop hard function for the process e+e− → qq̄ is [23, 39, 110, 111]”