Momentum conservation and unitarity in parton showers and NLL resummation

doi:10.1007/jhep01(2018)118

Title: Momentum conservation and unitarity in parton showers and NLL resummation

Abstract

We present a systematic study of differences between NLL resummation and parton showers. We first construct a Markovian Monte-Carlo algorithm for resummation of additive observables in electron-positron annihilation. Approximations intrinsic to the pure NLL result are then removed, in order to obtain a traditional, momentum and probability conserving parton shower based on the coherent branching formalism. The impact of each approximation is studied, and an overall comparison is made between the parton shower and pure NLL resummation. Differences compared to modern parton-shower algorithms formulated in terms of color dipoles are analyzed.

Authors:

^[1]; Reichelt, Daniel ^[2]; Siegert, Frank ^[2]

SLAC National Accelerator Lab., Menlo Park, CA (United States)
TU Dresden (Germany). Inst. of Nuclear and Particle Physics

Publication Date:: 2018-01-23

Research Org.:: SLAC National Accelerator Lab., Menlo Park, CA (United States); TU Dresden (Germany)

Sponsoring Org.:: USDOE; German Academic Exchange Service (DAAD); German Research Foundation (DFG)

OSTI Identifier:: 1425581

Grant/Contract Number:: AC02-76SF00515; SI 2009/1-1

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: 1; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; QCD phenomenology

Citation Formats


                    Höche, Stefan, Reichelt, Daniel, and Siegert, Frank. Momentum conservation and unitarity in parton showers and NLL resummation.  United States: N. p., 2018. 
        Web.  doi:10.1007/jhep01(2018)118.

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                    Höche, Stefan, Reichelt, Daniel, & Siegert, Frank. Momentum conservation and unitarity in parton showers and NLL resummation.  United States.  doi:10.1007/jhep01(2018)118.

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                    Höche, Stefan, Reichelt, Daniel, and Siegert, Frank. Tue .  
        "Momentum conservation and unitarity in parton showers and NLL resummation".  United States.  doi:10.1007/jhep01(2018)118.  https://www.osti.gov/servlets/purl/1425581.

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@article{osti_1425581,

  title        = {Momentum conservation and unitarity in parton showers and NLL resummation},

  author       = {Höche, Stefan and Reichelt, Daniel and Siegert, Frank},

  abstractNote = {We present a systematic study of differences between NLL resummation and parton showers. We first construct a Markovian Monte-Carlo algorithm for resummation of additive observables in electron-positron annihilation. Approximations intrinsic to the pure NLL result are then removed, in order to obtain a traditional, momentum and probability conserving parton shower based on the coherent branching formalism. The impact of each approximation is studied, and an overall comparison is made between the parton shower and pure NLL resummation. Differences compared to modern parton-shower algorithms formulated in terms of color dipoles are analyzed.},

  doi          = {10.1007/jhep01(2018)118},

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

  number       = 1,

  volume       = 2018,

  place        = {United States},

  year         = {2018},

  month        = {1}

}

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DOI: 10.1007/jhep01(2018)118

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Works referenced in this record:

Soft evolution of multi-jet final states
journal, February 2015

Gerwick, Erik; Schumann, Steffen; Höche, Stefan
Journal of High Energy Physics, Vol. 2015, Issue 2
DOI: 10.1007/JHEP02(2015)106

Sudakov resummation of multiparton QCD cross sections
journal, November 2003

Bonciani, Roberto; Catani, Stefano; Mangano, Michelangelo L.
Physics Letters B, Vol. 575, Issue 3-4
DOI: 10.1016/j.physletb.2003.09.068

Small transverse momentum distributions in hard processes
journal, August 1979

Parisi, G.; Petronzio, R.
Nuclear Physics B, Vol. 154, Issue 3
DOI: 10.1016/0550-3213(79)90040-3

Back-to-back jets in QCD
journal, December 1981

Collins, John C.; Soper, Davison E.
Nuclear Physics B, Vol. 193, Issue 2
DOI: 10.1016/0550-3213(81)90339-4

Interjet Energy Flow/Event Shape Correlations
journal, September 2003

Berger, Carola F.; Kúcs, Tibor; Sterman, George
International Journal of Modern Physics A, Vol. 18, Issue 23
DOI: 10.1142/S0217751X03016161

Triple collinear emissions in parton showers
journal, October 2017

Höche, Stefan; Prestel, Stefan
Physical Review D, Vol. 96, Issue 7
DOI: 10.1103/PhysRevD.96.074017

Comment of QCD exponentiation at large x
journal, April 1991

Catani, S.; Trentadue, L.
Nuclear Physics B, Vol. 353, Issue 1
DOI: 10.1016/0550-3213(91)90506-S

Quark fragmentation within an identified jet
journal, April 2010

Procura, Massimiliano; Stewart, Iain W.
Physical Review D, Vol. 81, Issue 7
DOI: 10.1103/PhysRevD.81.074009

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

Jain, Ambar; Procura, Massimiliano; Waalewijn, Wouter J.
Journal of High Energy Physics, Vol. 2011, Issue 5
DOI: 10.1007/JHEP05(2011)035

Resummation of non-global QCD observables
journal, July 2001

Dasgupta, M.; Salam, G. P.
Physics Letters B, Vol. 512, Issue 3-4
DOI: 10.1016/S0370-2693(01)00725-0

Hard processes in quantum chromodynamics
journal, February 1980

Dokshitzer, Yu. L.; Dyakonov, D. I.; Troyan, S. I.
Physics Reports, Vol. 58, Issue 5
DOI: 10.1016/0370-1573(80)90043-5

Principles of general final-state resummation and automated implementation
journal, March 2005

Banfi, Andrea; Salam, Gavin P.; Zanderighi, Giulia
Journal of High Energy Physics, Vol. 2005, Issue 03
DOI: 10.1088/1126-6708/2005/03/073

Determination of the strong coupling constant using matched NNLO+NLLA predictions for hadronic event shapes in e ⁺ e ⁻ annihilations
journal, August 2009

Dissertori, G.; Ridder, A. Gehrmann-De; Gehrmann, T.
Journal of High Energy Physics, Vol. 2009, Issue 08
DOI: 10.1088/1126-6708/2009/08/036

Effects of higher-order threshold corrections in high- $E_{T}$ jet production
journal, February 2001

Kidonakis, Nikolaos; Owens, J. F.
Physical Review D, Vol. 63, Issue 5
DOI: 10.1103/PhysRevD.63.054019

Event shape–energy flow correlations
journal, July 2003

Berger, Carola F.; Kúcs, Tibor; Sterman, George
Physical Review D, Vol. 68, Issue 1
DOI: 10.1103/PhysRevD.68.014012

Threshold resummation for dijet cross sections
journal, August 1998

Kidonakis, Nikolaos; Oderda, Gianluca; Sterman, George
Nuclear Physics B, Vol. 525, Issue 1-2
DOI: 10.1016/S0550-3213(98)00243-0

Summation of large corrections to short-distance hadronic cross sections
journal, January 1987

Sterman, George
Nuclear Physics B, Vol. 281, Issue 1-2
DOI: 10.1016/0550-3213(87)90258-6

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

Marchesini, G.; Webber, B. R.
Nuclear Physics B, Vol. 310, Issue 3-4
DOI: 10.1016/0550-3213(88)90089-2

Resummation of the QCD perturbative series for hard processes
journal, November 1989

Catani, S.; Trentadue, L.
Nuclear Physics B, Vol. 327, Issue 2
DOI: 10.1016/0550-3213(89)90273-3

Asymptotic freedom in parton language
journal, August 1977

Altarelli, G.; Parisi, G.
Nuclear Physics B, Vol. 126, Issue 2
DOI: 10.1016/0550-3213(77)90384-4

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

Catani, S.; Seymour, M. H.
Nuclear Physics B, Vol. 485, Issue 1-2
DOI: 10.1016/S0550-3213(96)00589-5

Resummation of large logarithms in e+e− event shape distributions
journal, October 1993

Catani, S.; Trentadue, L.; Turnock, G.
Nuclear Physics B, Vol. 407, Issue 1
DOI: 10.1016/0550-3213(93)90271-P

Hadronisation effects in event-shape moments
journal, March 2010

Gehrmann, T.; Jaquier, M.; Luisoni, G.
The European Physical Journal C, Vol. 67, Issue 1-2
DOI: 10.1140/epjc/s10052-010-1288-4

Hard scattering factorization from effective field theory
journal, July 2002

Bauer, Christian W.; Fleming, Sean; Pirjol, Dan
Physical Review D, Vol. 66, Issue 1
DOI: 10.1103/PhysRevD.66.014017

Resummation for QCD hard scattering
journal, November 1997

Kidonakis, Nikolaos; Sterman, George
Nuclear Physics B, Vol. 505, Issue 1-2
DOI: 10.1016/S0550-3213(97)00506-3

Evolution of color exchange in QCD hard scattering
journal, October 1998

Kidonakis, Nikolaos; Oderda, Gianluca; Sterman, George
Nuclear Physics B, Vol. 531, Issue 1-3
DOI: 10.1016/S0550-3213(98)00441-6

A treatment of hard processes sensitive to the infrared structure of QCD
journal, October 1980

Amati, D.; Bassetto, A.; Ciafaloni, M.
Nuclear Physics B, Vol. 173, Issue 3
DOI: 10.1016/0550-3213(80)90012-7

Quantum Chromodynamics Test for Jets
journal, December 1977

Farhi, Edward
Physical Review Letters, Vol. 39, Issue 25
DOI: 10.1103/PhysRevLett.39.1587

Subleading logarithms in QCD hard scattering
journal, October 1996

Kidonakis, Nikolaos; Sterman, George
Physics Letters B, Vol. 387, Issue 4
DOI: 10.1016/0370-2693(96)01080-5

Fooling around with the Sudakov veto algorithm
journal, March 2013

Lönnblad, Leif
The European Physical Journal C, Vol. 73, Issue 3
DOI: 10.1140/epjc/s10052-013-2350-9

Hard elastic scattering in QCD: Leading behavior
journal, October 1989

Botts, James; Sterman, George
Nuclear Physics B, Vol. 325, Issue 1
DOI: 10.1016/0550-3213(89)90372-6

Hard photon production and matrix-element parton-shower merging
journal, February 2010

Höche, Stefan; Schumann, Steffen; Siegert, Frank
Physical Review D, Vol. 81, Issue 3
DOI: 10.1103/PhysRevD.81.034026

Resummation of threshold corrections for single-particle inclusive cross sections
journal, October 1998

Laenen, Eric; Oderda, Gianluca; Sterman, George
Physics Letters B, Vol. 438, Issue 1-2
DOI: 10.1016/S0370-2693(98)00960-5

A model for parton showers in QCD
journal, June 1980

Fox, Geoffrey C.; Wolfram, Stephen
Nuclear Physics B, Vol. 168, Issue 2
DOI: 10.1016/0550-3213(80)90111-X

A model for initial state parton showers
journal, July 1985

Sjöstrand, Torbjörn
Physics Letters B, Vol. 157, Issue 4
DOI: 10.1016/0370-2693(85)90674-4

The perturbative calculation of jet structure in e+e− annihilation
journal, February 1981

Ellis, R. K.; Ross, D. A.; Terrano, A. E.
Nuclear Physics B, Vol. 178, Issue 3
DOI: 10.1016/0550-3213(81)90165-6

The midpoint between dipole and parton showers
journal, September 2015

Höche, Stefan; Prestel, Stefan
The European Physical Journal C, Vol. 75, Issue 9
DOI: 10.1140/epjc/s10052-015-3684-2

Dijet rapidity gaps in photoproduction from perturbative QCD
journal, November 1999

Oderda, Gianluca
Physical Review D, Vol. 61, Issue 1
DOI: 10.1103/PhysRevD.61.014004

Semi-numerical resummation of event shapes
journal, January 2002

Banfi, Andrea; Salam, Gavin P.; Zanderighi, Giulia
Journal of High Energy Physics, Vol. 2002, Issue 01
DOI: 10.1088/1126-6708/2002/01/018

A general method for the resummation of event-shape distributions in e + e − annihilation
journal, May 2015

Banfi, Andrea; McAslan, Heather; Monni, Pier Francesco
Journal of High Energy Physics, Vol. 2015, Issue 5
DOI: 10.1007/JHEP05(2015)102

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

Marchesini, G.; Webber, B. R.
Nuclear Physics B, Vol. 238, Issue 1
DOI: 10.1016/0550-3213(84)90463-2

Soft-collinear factorization in effective field theory
journal, February 2002

Bauer, Christian W.; Pirjol, Dan; Stewart, Iain W.
Physical Review D, Vol. 65, Issue 5
DOI: 10.1103/PhysRevD.65.054022

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

Catani, S.; Webber, B. R.; Marchesini, G.
Nuclear Physics B, Vol. 349, Issue 3
DOI: 10.1016/0550-3213(91)90390-J

Introduction to Parton-Shower Event Generators
conference, November 2015

Höche, Stefan
2014 Theoretical Advanced Study Institute in Elementary Particle Physics, Journeys Through the Precision Frontier: Amplitudes for Colliders
DOI: 10.1142/9789814678766_0005

Works referencing / citing this record:

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Title: Momentum conservation and unitarity in parton showers and NLL resummation

Abstract

Citation Formats

Soft evolution of multi-jet final states journal, February 2015

Sudakov resummation of multiparton QCD cross sections journal, November 2003

Small transverse momentum distributions in hard processes journal, August 1979

Back-to-back jets in QCD journal, December 1981

Interjet Energy Flow/Event Shape Correlations journal, September 2003

Triple collinear emissions in parton showers journal, October 2017

Comment of QCD exponentiation at large x journal, April 1991

Quark fragmentation within an identified jet journal, April 2010

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

Resummation of non-global QCD observables journal, July 2001

Hard processes in quantum chromodynamics journal, February 1980

Principles of general final-state resummation and automated implementation journal, March 2005

Determination of the strong coupling constant using matched NNLO+NLLA predictions for hadronic event shapes in e + e − annihilations journal, August 2009

Effects of higher-order threshold corrections in high- E T jet production journal, February 2001

Event shape–energy flow correlations journal, July 2003

Threshold resummation for dijet cross sections journal, August 1998

Summation of large corrections to short-distance hadronic cross sections journal, January 1987

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

Resummation of the QCD perturbative series for hard processes journal, November 1989

Asymptotic freedom in parton language journal, August 1977

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

Resummation of large logarithms in e+e− event shape distributions journal, October 1993

Hadronisation effects in event-shape moments journal, March 2010

Hard scattering factorization from effective field theory journal, July 2002

Resummation for QCD hard scattering journal, November 1997

Evolution of color exchange in QCD hard scattering journal, October 1998

A treatment of hard processes sensitive to the infrared structure of QCD journal, October 1980

Quantum Chromodynamics Test for Jets journal, December 1977

Subleading logarithms in QCD hard scattering journal, October 1996

Fooling around with the Sudakov veto algorithm journal, March 2013

Hard elastic scattering in QCD: Leading behavior journal, October 1989

Hard photon production and matrix-element parton-shower merging journal, February 2010

Resummation of threshold corrections for single-particle inclusive cross sections journal, October 1998

A model for parton showers in QCD journal, June 1980

A model for initial state parton showers journal, July 1985

The perturbative calculation of jet structure in e+e− annihilation journal, February 1981

The midpoint between dipole and parton showers journal, September 2015

Dijet rapidity gaps in photoproduction from perturbative QCD journal, November 1999

Semi-numerical resummation of event shapes journal, January 2002

A general method for the resummation of event-shape distributions in e + e − annihilation journal, May 2015

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

Soft-collinear factorization in effective field theory journal, February 2002

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

Introduction to Parton-Shower Event Generators conference, November 2015

Jet Structure Studies in Small Systems journal, May 2019

Jet Structure Studies in Small Systems journal, May 2019

Soft evolution of multi-jet final states
journal, February 2015

Sudakov resummation of multiparton QCD cross sections
journal, November 2003

Small transverse momentum distributions in hard processes
journal, August 1979

Back-to-back jets in QCD
journal, December 1981

Interjet Energy Flow/Event Shape Correlations
journal, September 2003

Triple collinear emissions in parton showers
journal, October 2017

Comment of QCD exponentiation at large x
journal, April 1991

Quark fragmentation within an identified jet
journal, April 2010

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

Resummation of non-global QCD observables
journal, July 2001

Hard processes in quantum chromodynamics
journal, February 1980

Principles of general final-state resummation and automated implementation
journal, March 2005

Determination of the strong coupling constant using matched NNLO+NLLA predictions for hadronic event shapes in e ⁺ e ⁻ annihilations
journal, August 2009

Effects of higher-order threshold corrections in high- $E_{T}$ jet production
journal, February 2001

Event shape–energy flow correlations
journal, July 2003

Threshold resummation for dijet cross sections
journal, August 1998

Summation of large corrections to short-distance hadronic cross sections
journal, January 1987

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

Resummation of the QCD perturbative series for hard processes
journal, November 1989

Asymptotic freedom in parton language
journal, August 1977

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

Resummation of large logarithms in e+e− event shape distributions
journal, October 1993

Hadronisation effects in event-shape moments
journal, March 2010

Hard scattering factorization from effective field theory
journal, July 2002

Resummation for QCD hard scattering
journal, November 1997

Evolution of color exchange in QCD hard scattering
journal, October 1998

A treatment of hard processes sensitive to the infrared structure of QCD
journal, October 1980

Quantum Chromodynamics Test for Jets
journal, December 1977

Subleading logarithms in QCD hard scattering
journal, October 1996

Fooling around with the Sudakov veto algorithm
journal, March 2013

Hard elastic scattering in QCD: Leading behavior
journal, October 1989

Hard photon production and matrix-element parton-shower merging
journal, February 2010

Resummation of threshold corrections for single-particle inclusive cross sections
journal, October 1998

A model for parton showers in QCD
journal, June 1980

A model for initial state parton showers
journal, July 1985

The perturbative calculation of jet structure in e+e− annihilation
journal, February 1981

The midpoint between dipole and parton showers
journal, September 2015

Dijet rapidity gaps in photoproduction from perturbative QCD
journal, November 1999

Semi-numerical resummation of event shapes
journal, January 2002

A general method for the resummation of event-shape distributions in e + e − annihilation
journal, May 2015

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

Soft-collinear factorization in effective field theory
journal, February 2002

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

Introduction to Parton-Shower Event Generators
conference, November 2015

Jet Structure Studies in Small Systems
journal, May 2019

Jet Structure Studies in Small Systems
journal, May 2019