Implementing NLO DGLAP evolution in parton showers

Hoche, Stefan; Krauss, Frank; Prestel, Stefan

doi:10.1007/JHEP10(2017)093

Title: Implementing NLO DGLAP evolution in parton showers

Abstract

Here, we present a parton shower which implements the DGLAP evolution of parton densities and fragmentation functions at next-to-leading order precision up to effects stemming from local four-momentum conservation. The Monte-Carlo simulation is based on including next-to-leading order collinear splitting functions in an existing parton shower and combining their soft enhanced contributions with the corresponding terms at leading order. Soft double counting is avoided by matching to the soft eikonal. Example results from two independent realizations of the algorithm, implemented in the two event generation frameworks Pythia and Sherpa, illustrate the improved precision of the new formalism.

Authors:

^[1]; Krauss, Frank ^[2]; Prestel, Stefan ^[3]

SLAC National Accelerator Lab., Menlo Park, CA (United States)
Durham Univ., Durham (United Kingdom)
Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)

Publication Date:: Fri Oct 13 00:00:00 EDT 2017

Research Org.:: SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)

Sponsoring Org.:: USDOE

OSTI Identifier:: 1407421

Report Number(s):: SLAC-PUB-16965
Journal ID: ISSN 1029-8479; PII: 6851; TRN: US1703148

Grant/Contract Number:: AC02-76SF00515

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: 2017; Journal Issue: 10; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

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

Citation Formats


                    Hoche, Stefan, Krauss, Frank, and Prestel, Stefan. Implementing NLO DGLAP evolution in parton showers.  United States: N. p., 2017. 
Web.  doi:10.1007/JHEP10(2017)093.

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                    Hoche, Stefan, Krauss, Frank, & Prestel, Stefan. Implementing NLO DGLAP evolution in parton showers.  United States.  https://doi.org/10.1007/JHEP10(2017)093

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                    Hoche, Stefan, Krauss, Frank, and Prestel, Stefan. Fri .  
"Implementing NLO DGLAP evolution in parton showers".  United States.  https://doi.org/10.1007/JHEP10(2017)093.  https://www.osti.gov/servlets/purl/1407421.

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@article{osti_1407421,

  title        = {Implementing NLO DGLAP evolution in parton showers},

  author       = {Hoche, Stefan and Krauss, Frank and Prestel, Stefan},

  abstractNote = {Here, we present a parton shower which implements the DGLAP evolution of parton densities and fragmentation functions at next-to-leading order precision up to effects stemming from local four-momentum conservation. The Monte-Carlo simulation is based on including next-to-leading order collinear splitting functions in an existing parton shower and combining their soft enhanced contributions with the corresponding terms at leading order. Soft double counting is avoided by matching to the soft eikonal. Example results from two independent realizations of the algorithm, implemented in the two event generation frameworks Pythia and Sherpa, illustrate the improved precision of the new formalism.},

  doi          = {10.1007/JHEP10(2017)093},

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

  number       = 10,

  volume       = 2017,

  place        = {United States},

  year         = {Fri Oct 13 00:00:00 EDT 2017},

  month        = {Fri Oct 13 00:00:00 EDT 2017}

}

Copy to clipboard

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Title: Implementing NLO DGLAP evolution in parton showers

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Quark fragmentation within an identified jet journal, April 2010

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

Parton fragmentation within an identified jet at NNLL journal, May 2011

Merging H/W/Z + 0 and 1 jet at NLO with no merging scale: a path to parton shower + NNLO matching journal, May 2013

Coherent parton showers with local recoils journal, January 2011

On regularizing the infrared singularities in QCD NLO splitting functions with the new Principal Value prescription journal, May 2014

QCD analyses and determinations of $\alpha_s$ in ${\rm e}^+{\rm e}^-$ annihilation at energies between 35 and 189 GeV journal, October 2000

Antenna showers with hadronic initial states journal, January 2013

Comparative study of various algorithms for the merging of parton showers and matrix elements in hadronic collisions journal, December 2007

Fooling around with the Sudakov veto algorithm journal, March 2013

QCD Matrix Elements + Parton Showers journal, November 2001

Event generation with SHERPA 1.1 journal, February 2009

Merging multi-leg NLO matrix elements with parton showers journal, March 2013

Initial-state showering based on colour dipoles connected to incoming parton lines journal, July 2008

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

A model for initial state parton showers journal, July 1985

A QCD model for jet fragmentation including soft gluon interference journal, June 1984

The midpoint between dipole and parton showers journal, September 2015

Controlling inclusive cross sections in parton shower + matrix element merging journal, August 2013

Matching matrix elements and shower evolution for top-pair production in hadronic collisions journal, January 2007

Merging meets matching in MC@NLO journal, December 2012

Improving NLO-parton shower matched simulations with higher order matrix elements journal, June 2010

NLLjet: a Monte Carlo code for e+e- QCD jets including next-to-leading order terms journal, April 1991

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

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

Studies of QCD at ${\rm e}^ + {\rm e}^-$ centre-of-mass energies between 91 and 209 GeV journal, July 2004

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

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

Matrix Elements and Parton Showers in Hadronic Interactions journal, August 2002

Two real parton contributions to non-singlet kernels for exclusive QCD DGLAP evolution journal, August 2011

Singlet parton densities beyond leading order journal, December 1980

Drell–Yan production at small q T , transverse parton distributions and the collinear anomaly journal, June 2011

Space- and time-like cut vertices in QCD beyond the leading order—The singlet sector journal, January 1981

Dipole formulation of QCD cascades journal, September 1988

Monte Carlo simulation of general hard processes with coherent QCD radiation journal, December 1988

Subleading Nc improved parton showers journal, July 2012

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

Asymptotic freedom in parton language journal, August 1977

The string effect and QCD coherence journal, December 1985

Two-loop anomalous dimension in light-cone gauge with Mandelstam-Leibbrandt prescription journal, May 1998

An introduction to PYTHIA 8.2 journal, June 2015

Coherent parton showers versus matrix elements - implications of PETRA/PEP data journal, February 1987

Space and time like cut vertices in QCD beyond the leading order - non-singlet sector journal, January 1981

QCD matrix elements and truncated showers journal, May 2009

A comparative study of coherent and non-coherent parton shower evolution journal, January 1987

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

NNLOPS simulation of Higgs boson production journal, October 2013

New formalism for QCD parton showers journal, December 2003

QCD matrix elements and truncated showers text, January 2009

Merging meets matching in MC@NLO text, January 2012

Event generation with SHERPA 1.1 text, January 2009

Studies of QCD at e(+)e(-) centre-of-mass energies between 91 and 209 GeV text, January 2004

A parton shower algorithm based on Catani-Seymour dipole factorisation text, January 2007

Initial-state showering based on colour dipoles connected to incoming parton lines text, January 2007

QCD matrix elements and truncated showers text, January 2009

Quark Fragmentation within an Identified Jet text, January 2009

Two real parton contributions to non-singlet kernels for exclusive QCD DGLAP evolution text, January 2011

Merging meets matching in MC@NLO text, January 2012

Fooling Around with the Sudakov Veto Algorithm text, January 2012

Merging Multi-leg NLO Matrix Elements with Parton Showers text, January 2012

Merging H/W/Z + 0 and 1 jet at NLO with no merging scale: a path to parton shower + NNLO matching text, January 2012

Antenna Showers with One-Loop Matrix Elements text, January 2013

NNLOPS simulation of Higgs boson production text, January 2013

On regularizing the infrared singularities in QCD NLO splitting functions with the new Principal Value prescription text, January 2014

QCD Matrix Elements + Parton Showers text, January 2001

New formalism for QCD parton showers text, January 2003

Transverse-Momentum-Ordered Showers and Interleaved Multiple Interactions text, January 2004

Two-loop anomalous dimension in light-cone gauge with Mandelstam-Leibbrandt prescription text, January 1997

NLL′ resummation of jet mass journal, April 2019

FCC Physics Opportunities: Future Circular Collider Conceptual Design Report Volume 1 journal, June 2019

Event generation with Sherpa 2.2 journal, January 2019

Collinear and TMD Quark and Gluon Densities from Parton Branching Solution of QCD Evolution Equations text, January 2018

What is a parton shower? text, January 2018

Collinear and TMD parton densities from fits to precision DIS measurements in the parton branching method text, January 2019

FCC Physics Opportunities text, January 2019

A critical appraisal of NLO+PS matching methods
journal, September 2012

Evolution of parton densities beyond leading order
journal, November 1980

Quark fragmentation within an identified jet
journal, April 2010

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

Parton fragmentation within an identified jet at NNLL
journal, May 2011

Merging H/W/Z + 0 and 1 jet at NLO with no merging scale: a path to parton shower + NNLO matching
journal, May 2013

Coherent parton showers with local recoils
journal, January 2011

On regularizing the infrared singularities in QCD NLO splitting functions with the new Principal Value prescription
journal, May 2014

QCD analyses and determinations of $\alpha_s$ in ${\rm e}^+{\rm e}^-$ annihilation at energies between 35 and 189 GeV
journal, October 2000

Antenna showers with hadronic initial states
journal, January 2013

Comparative study of various algorithms for the merging of parton showers and matrix elements in hadronic collisions
journal, December 2007

Fooling around with the Sudakov veto algorithm
journal, March 2013

QCD Matrix Elements + Parton Showers
journal, November 2001

Event generation with SHERPA 1.1
journal, February 2009

Merging multi-leg NLO matrix elements with parton showers
journal, March 2013

Initial-state showering based on colour dipoles connected to incoming parton lines
journal, July 2008

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

A model for initial state parton showers
journal, July 1985

A QCD model for jet fragmentation including soft gluon interference
journal, June 1984

The midpoint between dipole and parton showers
journal, September 2015

Controlling inclusive cross sections in parton shower + matrix element merging
journal, August 2013

Matching matrix elements and shower evolution for top-pair production in hadronic collisions
journal, January 2007

Merging meets matching in MC@NLO
journal, December 2012

Improving NLO-parton shower matched simulations with higher order matrix elements
journal, June 2010

NLLjet: a Monte Carlo code for e+e- QCD jets including next-to-leading order terms
journal, April 1991

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

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

Studies of QCD at ${\rm e}^ + {\rm e}^-$ centre-of-mass energies between 91 and 209 GeV
journal, July 2004

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

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

Matrix Elements and Parton Showers in Hadronic Interactions
journal, August 2002

Two real parton contributions to non-singlet kernels for exclusive QCD DGLAP evolution
journal, August 2011

Singlet parton densities beyond leading order
journal, December 1980

Drell–Yan production at small q T , transverse parton distributions and the collinear anomaly
journal, June 2011

Space- and time-like cut vertices in QCD beyond the leading order—The singlet sector
journal, January 1981

Dipole formulation of QCD cascades
journal, September 1988

Monte Carlo simulation of general hard processes with coherent QCD radiation
journal, December 1988

Subleading Nc improved parton showers
journal, July 2012

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

Asymptotic freedom in parton language
journal, August 1977

The string effect and QCD coherence
journal, December 1985

Two-loop anomalous dimension in light-cone gauge with Mandelstam-Leibbrandt prescription
journal, May 1998

An introduction to PYTHIA 8.2
journal, June 2015

Coherent parton showers versus matrix elements - implications of PETRA/PEP data
journal, February 1987

Space and time like cut vertices in QCD beyond the leading order - non-singlet sector
journal, January 1981

QCD matrix elements and truncated showers
journal, May 2009

A comparative study of coherent and non-coherent parton shower evolution
journal, January 1987

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

NNLOPS simulation of Higgs boson production
journal, October 2013

New formalism for QCD parton showers
journal, December 2003

QCD matrix elements and truncated showers
text, January 2009

Merging meets matching in MC@NLO
text, January 2012

Event generation with SHERPA 1.1
text, January 2009

Studies of QCD at e(+)e(-) centre-of-mass energies between 91 and 209 GeV
text, January 2004

A parton shower algorithm based on Catani-Seymour dipole factorisation
text, January 2007

Initial-state showering based on colour dipoles connected to incoming parton lines
text, January 2007

QCD matrix elements and truncated showers
text, January 2009

Quark Fragmentation within an Identified Jet
text, January 2009

Two real parton contributions to non-singlet kernels for exclusive QCD DGLAP evolution
text, January 2011

Merging meets matching in MC@NLO
text, January 2012

Fooling Around with the Sudakov Veto Algorithm
text, January 2012

Merging Multi-leg NLO Matrix Elements with Parton Showers
text, January 2012

Merging H/W/Z + 0 and 1 jet at NLO with no merging scale: a path to parton shower + NNLO matching
text, January 2012

Antenna Showers with One-Loop Matrix Elements
text, January 2013

NNLOPS simulation of Higgs boson production
text, January 2013

On regularizing the infrared singularities in QCD NLO splitting functions with the new Principal Value prescription
text, January 2014

QCD Matrix Elements + Parton Showers
text, January 2001

New formalism for QCD parton showers
text, January 2003

Transverse-Momentum-Ordered Showers and Interleaved Multiple Interactions
text, January 2004

Two-loop anomalous dimension in light-cone gauge with Mandelstam-Leibbrandt prescription
text, January 1997

NLL′ resummation of jet mass
journal, April 2019

FCC Physics Opportunities: Future Circular Collider Conceptual Design Report Volume 1
journal, June 2019

Event generation with Sherpa 2.2
journal, January 2019

Collinear and TMD Quark and Gluon Densities from Parton Branching Solution of QCD Evolution Equations
text, January 2018

What is a parton shower?
text, January 2018

Collinear and TMD parton densities from fits to precision DIS measurements in the parton branching method
text, January 2019

FCC Physics Opportunities
text, January 2019

What is a parton shower?
text, January 2017

Collinear and TMD Quark and Gluon Densities from Parton Branching Solution of QCD Evolution Equations
text, January 2017

Non-global logarithms in jet and isolation cone cross sections
text, January 2018