Logarithmic accuracy of parton showers: a fixed-order study

Dasgupta, Mrinal; Dreyer, Frédéric A.; Hamilton, Keith; Monni, Pier Francesco; Salam, Gavin P.

doi:10.1007/jhep09(2018)033

Title: Logarithmic accuracy of parton showers: a fixed-order study

Abstract

We formulate some first fundamental elements of an approach for assessing the logarithmic accuracy of parton-shower algorithms based on two broad criteria: their ability to reproduce the singularity structure of multi-parton matrix elements, and their ability to reproduce logarithmic resummation results. We illustrate our approach by considering properties of two transverse-momentum ordered final-state showers, examining features up to second order in the strong coupling. In particular we identify regions where they fail to reproduce the known singular limits of matrix elements. Here, the characteristics of the shower that are responsible for this also affect the logarithmic resummation accuracies of the shower, both in terms of leading (double) logarithms at subleading N_C and next-to-leading (single) logarithms at leading N_C.

Authors:

Dasgupta, Mrinal ^[1];

^[2]; Hamilton, Keith ^[3]; Monni, Pier Francesco ^[4]; Salam, Gavin P. ^[5]

Univ. of Manchester, Manchester (United Kingdom). Consortium for Fundamental Physics, School of Physics and Astronomy
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Center for Theoretical Physics
Univ. College London, London (United Kingdom). Dept. of Physics and Astornomy; European Organization for Nuclear Research (CERN), Geneva (Switzerland). Theoretical Physics Dept.
European Organization for Nuclear Research (CERN), Geneva (Switzerland). Theoretical Physics Dept.
European Organization for Nuclear Research (CERN), Geneva (Switzerland). Theoretical Physics Dept.; CNRS, Paris (France); Rudolf Peierls Centre for Theoretical Physics

Publication Date:: Fri Sep 07 00:00:00 EDT 2018

Research Org.:: Massachusetts Inst. of Technology, Cambridge (United States)

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP)

OSTI Identifier:: 1499042

Grant/Contract Number:: SC0012567

Resource Type:: Accepted Manuscript

Journal Name:: Journal of High Energy Physics (Online)

Additional Journal Information:: Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2018; Journal Issue: 9; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; NLO Computations; QCD Phenomenology

Citation Formats


                    Dasgupta, Mrinal, Dreyer, Frédéric A., Hamilton, Keith, Monni, Pier Francesco, and Salam, Gavin P. Logarithmic accuracy of parton showers: a fixed-order study.  United States: N. p., 2018. 
Web.  doi:10.1007/jhep09(2018)033.

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                    Dasgupta, Mrinal, Dreyer, Frédéric A., Hamilton, Keith, Monni, Pier Francesco, & Salam, Gavin P. Logarithmic accuracy of parton showers: a fixed-order study.  United States.  https://doi.org/10.1007/jhep09(2018)033

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                    Dasgupta, Mrinal, Dreyer, Frédéric A., Hamilton, Keith, Monni, Pier Francesco, and Salam, Gavin P. Fri .  
"Logarithmic accuracy of parton showers: a fixed-order study".  United States.  https://doi.org/10.1007/jhep09(2018)033.  https://www.osti.gov/servlets/purl/1499042.

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@article{osti_1499042,

  title        = {Logarithmic accuracy of parton showers: a fixed-order study},

  author       = {Dasgupta, Mrinal and Dreyer, Frédéric A. and Hamilton, Keith and Monni, Pier Francesco and Salam, Gavin P.},

  abstractNote = {We formulate some first fundamental elements of an approach for assessing the logarithmic accuracy of parton-shower algorithms based on two broad criteria: their ability to reproduce the singularity structure of multi-parton matrix elements, and their ability to reproduce logarithmic resummation results. We illustrate our approach by considering properties of two transverse-momentum ordered final-state showers, examining features up to second order in the strong coupling. In particular we identify regions where they fail to reproduce the known singular limits of matrix elements. Here, the characteristics of the shower that are responsible for this also affect the logarithmic resummation accuracies of the shower, both in terms of leading (double) logarithms at subleading NC and next-to-leading (single) logarithms at leading NC.},

  doi          = {10.1007/jhep09(2018)033},

  journal      = {Journal of High Energy Physics (Online)},

  number       = 9,

  volume       = 2018,

  place        = {United States},

  year         = {Fri Sep 07 00:00:00 EDT 2018},

  month        = {Fri Sep 07 00:00:00 EDT 2018}

}

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Works referencing / citing this record:

Event generation with Sherpa 2.2
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Title: Logarithmic accuracy of parton showers: a fixed-order study

Abstract

Citation Formats

Ordering variable for parton showers journal, June 2014

VINCIA for hadron colliders journal, October 2016

Multiparton interactions in photoproduction at HERA journal, December 1996

A parton shower based on factorization of the quantum density matrix journal, June 2014

A framework for second-order parton showers journal, August 2017

Systematic event generator tuning for the LHC journal, November 2009

Monte Carlo modelling of NLO DGLAP QCD evolution in the fully unintegrated form journal, August 2010

Higher-order corrections to timelike jets journal, September 2011

Jet cross sections at leading double logarithm in e+e− annihilation journal, December 1990

Ariadne version 4 — A program for simulation of QDC cascades implementing the colour dipole model journal, August 1992

A general framework for implementing NLO calculations in shower Monte Carlo programs: the POWHEG BOX journal, June 2010

Improving the simulation of quark and gluon jets with Herwig 7 journal, December 2017

Simulation of multiple partonic interactions in Herwig++ journal, July 2008

A precise determination of α s from LEP thrust data using effective field theory journal, July 2008

Coherent parton showers with local recoils journal, January 2011

The automated computation of tree-level and next-to-leading order differential cross sections, and their matching to parton shower simulations journal, July 2014

Jet structure and infrared sensitive quantities in perturbative QCD journal, November 1983

Multijet matrix elements and shower evolution in hadronic collisions: -jets as a case study journal, June 2002

A general algorithm for calculating jet cross sections in NLO QCD journal, February 1997

Quantum Chromodynamics Test for Jets journal, December 1977

Two-Jet Rate in e + e − at Next-to-Next-to-Leading-Logarithmic Order journal, October 2016

Identifying boosted objects with N-subjettiness journal, March 2011

Tuning Monte Carlo generators: The Perugia tunes journal, October 2010

Qcd jets and Parton Showers conference, March 2012

Coherence effects in deep inelastic scattering journal, December 1989

Transverse-momentum-ordered showers and interleaved multiple interactions journal, February 2005

Measuring colour flows in hard processes: beyond leading order journal, December 1992

The midpoint between dipole and parton showers journal, September 2015

Matching NLO QCD computations with parton shower simulations: the POWHEG method journal, November 2007

A linear algorithm for calculating spin correlations in hadronic collisions journal, April 1990

Merging meets matching in MC@NLO journal, December 2012

Colour connections in e+e− annihilation journal, April 1997

A multiple-interaction model for the event structure in hadron collisions journal, October 1987

Antenna showers with one-loop matrix elements journal, October 2013

Simulation of QCD jets including soft gluon interference journal, May 1984

QCD coherent branching and semi-inclusive processes at large χ journal, February 1991

On the transverse momentum in Z-boson production in a virtuality ordered parton shower journal, March 2010

General-purpose event generators for LHC physics journal, July 2011

New clustering algorithm for multijet cross sections in e+e− annihilation journal, October 1991

Matching NLO QCD with parton shower in Monte Carlo scheme — the KrkNLO method journal, October 2015

A simple shower and matching algorithm journal, July 2008

C -parameter distribution at N 3 LL ′ including power corrections journal, May 2015

Multiparton interactions and rescattering journal, January 2010

Multiparton interactions with an x-dependent proton size journal, May 2011

MINLO: multi-scale improved NLO journal, October 2012

Monte Carlo and large angle gluon radiation journal, March 2009

Two-loop soft corrections and resummation of the thrust distribution in the dijet region journal, August 2011

NNLL Resummation for Jet Broadening journal, November 2012

Final state dipole showers and the DGLAP equation journal, May 2009

Spin correlations in Monte Carlo event generators journal, January 1988

Event shape–energy flow correlations journal, July 2003

Dipole formulation of QCD cascades journal, September 1988

Infrared factorization of tree-level QCD amplitudes at the next-to-next-to-leading order and beyond journal, March 2000

Constraining MPI models using σ eff and recent Tevatron and LHC Underlying Event data journal, October 2013

Jet energy measurement and its systematic uncertainty in proton–proton collisions at $$\sqrt{s}=7$$ s = 7 TeV with the ATLAS detector journal, January 2015

A parton shower algorithm based on Catani-Seymour dipole factorisation journal, March 2008

Asymptotic freedom in parton language journal, August 1977

Comparison of the dipole cascade model versus O(αs2) matrix elements and colour interference in e+e− annihilation journal, August 1992

Some remarks on dipole showers and the DGLAP equation journal, April 2009

Matching fully differential NNLO calculations and parton showers journal, June 2014

Double unresolved approximations to multiparton scattering amplitudes journal, August 1998

Parton showers with quantum interference journal, September 2007

Merging meets matching in MC@NLO text, January 2012

Herwig 7.0/Herwig++ 3.0 release note journal, April 2016

An introduction to PYTHIA 8.2 journal, June 2015

Multiplicity distributions in QCD cascades journal, March 1993

Effects of subleading color in a parton shower journal, July 2015

The automated computation of tree-level and next-to-leading order differential cross sections, and their matching to parton shower simulations text, January 2014

Parton shower evolution with subleading color journal, June 2012

QCD matrix elements + parton showers. The NLO case journal, April 2013

NNLOPS simulation of Higgs boson production journal, October 2013

QCD Matrix Elements + Parton Showers journal, November 2001

Correcting the Colour-Dipole Cascade Model with Fixed Order Matrix Elements journal, May 2002

Matching NLO QCD computations and parton shower simulations journal, June 2002

A New Method for Combining NLO QCD with Shower Monte Carlo Algorithms journal, November 2004

Multiparton interactions in photoproduction at HERA journal, December 1996

An eikonal model for multiparticle production in hadron-hadron interactions journal, September 2002

Ordering variable for parton showers
journal, June 2014

VINCIA for hadron colliders
journal, October 2016

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journal, December 1996

A parton shower based on factorization of the quantum density matrix
journal, June 2014

A framework for second-order parton showers
journal, August 2017

Systematic event generator tuning for the LHC
journal, November 2009

Monte Carlo modelling of NLO DGLAP QCD evolution in the fully unintegrated form
journal, August 2010

Higher-order corrections to timelike jets
journal, September 2011

Jet cross sections at leading double logarithm in e+e− annihilation
journal, December 1990

Ariadne version 4 — A program for simulation of QDC cascades implementing the colour dipole model
journal, August 1992

A general framework for implementing NLO calculations in shower Monte Carlo programs: the POWHEG BOX
journal, June 2010

Improving the simulation of quark and gluon jets with Herwig 7
journal, December 2017

Simulation of multiple partonic interactions in Herwig++
journal, July 2008

A precise determination of α _s from LEP thrust data using effective field theory
journal, July 2008

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journal, January 2011

The automated computation of tree-level and next-to-leading order differential cross sections, and their matching to parton shower simulations
journal, July 2014

Jet structure and infrared sensitive quantities in perturbative QCD
journal, November 1983

Multijet matrix elements and shower evolution in hadronic collisions: -jets as a case study
journal, June 2002

A general algorithm for calculating jet cross sections in NLO QCD
journal, February 1997

Quantum Chromodynamics Test for Jets
journal, December 1977

Two-Jet Rate in $e^{+} e^{-}$ at Next-to-Next-to-Leading-Logarithmic Order
journal, October 2016

Identifying boosted objects with N-subjettiness
journal, March 2011

Tuning Monte Carlo generators: The Perugia tunes
journal, October 2010

Qcd jets and Parton Showers
conference, March 2012

Coherence effects in deep inelastic scattering
journal, December 1989

Transverse-momentum-ordered showers and interleaved multiple interactions
journal, February 2005

Measuring colour flows in hard processes: beyond leading order
journal, December 1992

The midpoint between dipole and parton showers
journal, September 2015

Matching NLO QCD computations with parton shower simulations: the POWHEG method
journal, November 2007

A linear algorithm for calculating spin correlations in hadronic collisions
journal, April 1990

Merging meets matching in MC@NLO
journal, December 2012

Colour connections in e+e− annihilation
journal, April 1997

A multiple-interaction model for the event structure in hadron collisions
journal, October 1987

Antenna showers with one-loop matrix elements
journal, October 2013

Simulation of QCD jets including soft gluon interference
journal, May 1984

QCD coherent branching and semi-inclusive processes at large χ
journal, February 1991

On the transverse momentum in Z-boson production in a virtuality ordered parton shower
journal, March 2010

General-purpose event generators for LHC physics
journal, July 2011

New clustering algorithm for multijet cross sections in e+e− annihilation
journal, October 1991

Matching NLO QCD with parton shower in Monte Carlo scheme — the KrkNLO method
journal, October 2015

A simple shower and matching algorithm
journal, July 2008

$C$ -parameter distribution at $N^{3} {LL}^{'}$ including power corrections
journal, May 2015

Multiparton interactions and rescattering
journal, January 2010

Multiparton interactions with an x-dependent proton size
journal, May 2011

MINLO: multi-scale improved NLO
journal, October 2012

Monte Carlo and large angle gluon radiation
journal, March 2009

Two-loop soft corrections and resummation of the thrust distribution in the dijet region
journal, August 2011

NNLL Resummation for Jet Broadening
journal, November 2012

Final state dipole showers and the DGLAP equation
journal, May 2009

Spin correlations in Monte Carlo event generators
journal, January 1988

Event shape–energy flow correlations
journal, July 2003

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journal, September 1988

Infrared factorization of tree-level QCD amplitudes at the next-to-next-to-leading order and beyond
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Constraining MPI models using σ eff and recent Tevatron and LHC Underlying Event data
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Asymptotic freedom in parton language
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Comparison of the dipole cascade model versus O(αs2) matrix elements and colour interference in e+e− annihilation
journal, August 1992

Some remarks on dipole showers and the DGLAP equation
journal, April 2009

Matching fully differential NNLO calculations and parton showers
journal, June 2014

Double unresolved approximations to multiparton scattering amplitudes
journal, August 1998

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journal, September 2007

Merging meets matching in MC@NLO
text, January 2012

Herwig 7.0/Herwig++ 3.0 release note
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An introduction to PYTHIA 8.2
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Multiplicity distributions in QCD cascades
journal, March 1993

Effects of subleading color in a parton shower
journal, July 2015

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text, January 2014

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journal, June 2012

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journal, April 2013

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journal, October 2013

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journal, November 2001

Correcting the Colour-Dipole Cascade Model with Fixed Order Matrix Elements
journal, May 2002

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journal, November 2004

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journal, December 1996

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journal, September 2002

Multiple Interactions and the Structure of Beam Remnants
journal, March 2004

Energy and virtuality scale dependence in quark and gluon jets
journal, September 1998

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journal, March 2005