A Simple shower and matching algorithm

By W. Giele, David A. Kosower, Peter Z. Skands. 2007

186 citations recorded by the source corpus.

We present a simple formalism for parton-shower Markov chains. As a first step towards more complete ''uncertainty bands,'' we incorporate a comprehensive exploration of the ambiguities inherent in such calculations. To reduce this uncertainty, we then introduce a matching formalism which allows a generated event sample to simultaneously reproduce any infrared-safe distribution calculated at leading or next-to-leading order in perturbation theory, up to subleading corrections. To enable a more universal definition of perturbative calculations, we also propose a more general definition of the hadronization cutoff. Finally, we present an implementation of some of these ideas for final-state gluon showers, in a code dubbed Vincia.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/1e3fa7250e235f621a87103ee013a0297b661217

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In Nuclear and High Energy Physics

Citations in the corpus

Antenna subtraction at NNLO with hadronic initial states: initial-final configurations (2009, background): “The formalism can be extended to include parton showers at higher orders [85], thereby offering a process-independent matching of fixed-order calculations and logarithmic resummations [81, 86], which is done on a case-by-case basis for individual observables [87] up to now.”
Searching for long-lived particles beyond the Standard Model at the Large Hadron Collider (2019, background): “A known solution is to phrase the shower in the language of 2→ 3 evolution kernels [552], where radiation is treated as coming from dipoles rather than individual charges, as in figure 89.”
Jet substructure at the Large Hadron Collider: A review of recent advances in theory and machine learning (2017, background): “Six parton shower generators—Pythia 8.205, Herwig++ 2.7.1, Sherpa 2.1.1, Vincia 1.201, Deductor 1.0.2, and Ariadne 5.0.”
String formation beyond leading colour (2015, methodology): “ones based on QCD dipoles [13–19]), and better techniques for how to combine them (matching and merging, see [3,12,20–22] and references therein).”
A perturbative framework for jet quenching (2012, background): “The latter resum the dominant collinear logarithms associated to the emission of additional partons to leading (and partly sub-leading) logarithmic accuracy, with many improvements and reformulations in the past decades [5–13].”
General-purpose event generators for LHC physics (2011, methodology): “The NL(3) procedure [78] and the procedure being implemented in the Vincia program[55, 79] go further and try to also correct the higher jet cross sections to NLO, but so far no easily accessible implementation exists.”
Les Houches 2015: Physics at TeV Colliders Standard Model Working Group Report (2016, background): “Zapp 2With the notable exception of the Vincia shower [517,518].”
Coherent parton showers with local recoils (2009, methodology): “The groups [57, 58] used the Catani–Seymour (CS) [59] terms, while [60] based a shower on Lund dipoles and [61] on antenna subtraction terms.”
Parton showers with quantum interference (2007, unknown): “We note here the recent paper [ 16 ], which explores other possibilities for both momentum mapping and splitting functions.”
QCD matrix elements and truncated showers (2009, background): “(1) is modified accordingly, the kernels can also incorporate more than two partons, for example in the case of dipole [29, 30, 31, 32] or dipole-like [33, 34, 35] cascades.”