Fragmentation functions at next-to-next-to-leading order accuracy

Anderle, Daniele P.; Stratmann, Marco; Ringer, Felix

doi:10.1103/PhysRevD.92.114017

Title: Fragmentation functions at next-to-next-to-leading order accuracy

Abstract

We present a first analysis of parton-to-pion fragmentation functions at next-to-next-to-leading order accuracy in QCD based on single-inclusive pion production in electron-positron annihilation. Special emphasis is put on the technical details necessary to perform the QCD scale evolution and cross section calculation in Mellin moment space. Lastly, we demonstrate how the description of the data and the theoretical uncertainties are improved when next-to-next-to-leading order QCD corrections are included.

Authors:

Anderle, Daniele P. ^[1]; Stratmann, Marco ^[1]; Ringer, Felix ^[2]

Univ. of Tubingen, Tubingen (Germany)
Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Univ. of Tubingen, Tubingen (Germany)

Publication Date:: Tue Dec 01 00:00:00 EST 2015

Research Org.:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Org.:: USDOE

OSTI Identifier:: 1255117

Alternate Identifier(s):: OSTI ID: 1229594

Report Number(s):: LA-UR-15-28093
Journal ID: ISSN 1550-7998; PRVDAQ

Grant/Contract Number:: AC52-06NA25396

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review. D, Particles, Fields, Gravitation and Cosmology

Additional Journal Information:: Journal Volume: 92; Journal Issue: 11; Journal ID: ISSN 1550-7998

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Atomic and Nuclear Physics

Citation Formats


                    Anderle, Daniele P., Stratmann, Marco, and Ringer, Felix. Fragmentation functions at next-to-next-to-leading order accuracy.  United States: N. p., 2015. 
Web.  doi:10.1103/PhysRevD.92.114017.

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                    Anderle, Daniele P., Stratmann, Marco, & Ringer, Felix. Fragmentation functions at next-to-next-to-leading order accuracy.  United States.  https://doi.org/10.1103/PhysRevD.92.114017

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                    Anderle, Daniele P., Stratmann, Marco, and Ringer, Felix. Tue .  
"Fragmentation functions at next-to-next-to-leading order accuracy".  United States.  https://doi.org/10.1103/PhysRevD.92.114017.  https://www.osti.gov/servlets/purl/1255117.

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@article{osti_1255117,

  title        = {Fragmentation functions at next-to-next-to-leading order accuracy},

  author       = {Anderle, Daniele P. and Stratmann, Marco and Ringer, Felix},

  abstractNote = {We present a first analysis of parton-to-pion fragmentation functions at next-to-next-to-leading order accuracy in QCD based on single-inclusive pion production in electron-positron annihilation. Special emphasis is put on the technical details necessary to perform the QCD scale evolution and cross section calculation in Mellin moment space. Lastly, we demonstrate how the description of the data and the theoretical uncertainties are improved when next-to-next-to-leading order QCD corrections are included.},

  doi          = {10.1103/PhysRevD.92.114017},

  journal      = {Physical Review. D, Particles, Fields, Gravitation and Cosmology},

  number       = 11,

  volume       = 92,

  place        = {United States},

  year         = {Tue Dec 01 00:00:00 EST 2015},

  month        = {Tue Dec 01 00:00:00 EST 2015}

}

Copy to clipboard

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Moch, S.; Vermaseren, J. A. M.; Vogt, A.
arXiv
DOI: 10.48550/arxiv.hep-ph/0411112

Crossing Heavy-Flavour Thresholds in Fragmentation Functions
text, January 2005

Cacciari, Matteo; Nason, Paolo; Oleari, Carlo
arXiv
DOI: 10.48550/arxiv.hep-ph/0504192

Next-to-Next-to-Leading Order Evolution of Non-Singlet Fragmentation Functions
text, January 2006

Mitov, A.; Moch, S.; Vogt, A.
arXiv
DOI: 10.48550/arxiv.hep-ph/0604053

Determination of fragmentation functions and their uncertainties
text, January 2007

Hirai, M.; Kumano, S.; Nagai, T. -H.
arXiv
DOI: 10.48550/arxiv.hep-ph/0702250

Next-to-Leading Order Fragmentation Functions for Pions and Kaons
text, January 1994

Binnewies, J.; Kniehl, B. A.; Kramer, G.
arXiv
DOI: 10.48550/arxiv.hep-ph/9407347

Higher order QCD corrections to the transverse and longitudinal fragmentation functions in electron-positron annihilation
text, January 1996

Rijken, P. J.; van Neerven, W. L.
arXiv
DOI: 10.48550/arxiv.hep-ph/9609377

Charm electroproduction viewed in the variable-flavour number scheme versus fixed-order perturbation theory
text, January 1996

Buza, M.; Matiounine, Y.; Smith, J.
arXiv
DOI: 10.48550/arxiv.hep-ph/9612398

Harmonic Polylogarithms
text, January 1999

Remiddi, E.; Vermaseren, J. A. M.
arXiv
DOI: 10.48550/arxiv.hep-ph/9905237

Works referencing / citing this record:

Determination of $D_{s}^{+}$ meson fragmentation functions through two different approaches
journal, December 2019

Salajegheh, Maral; Nejad, S. Mohammad Moosavi; Delpasand, Mahdi
Physical Review D, Vol. 100, Issue 11
DOI: 10.1103/physrevd.100.114031

$B$ -hadron fragmentation functions at next-to-next-to-leading order from a global analysis of $e^{+} e^{-}$ annihilation data
journal, June 2019

Salajegheh, Maral; Nejad, S. Mohammad Moosavi; Khanpour, Hamzeh
Physical Review D, Vol. 99, Issue 11
DOI: 10.1103/physrevd.99.114001

Proton fragmentation functions considering finite-mass corrections
journal, October 2016

Moosavi Nejad, S. M.; Soleymaninia, M.; Maktoubian, A.
The European Physical Journal A, Vol. 52, Issue 10
DOI: 10.1140/epja/i2016-16316-6

First determination of $D^{*}$ -meson fragmentation functions and their uncertainties at next-to-next-to-leading order
journal, April 2018

Soleymaninia, Maryam; Khanpour, Hamzeh; Nejad, S. Mohammad Moosavi
Physical Review D, Vol. 97, Issue 7
DOI: 10.1103/physrevd.97.074014

Proton fragmentation functions considering finite-mass corrections
text, January 2015

Nejad, S. M. Moosavi; Soleymaninia, M.; Maktoubian, A.
arXiv
DOI: 10.48550/arxiv.1512.01855

Fragmentation Functions Beyond Fixed Order Accuracy
text, January 2016

Anderle, Daniele P.; Kaufmann, Tom; Ringer, Felix
arXiv
DOI: 10.48550/arxiv.1611.03371

First simultaneous extraction of spin-dependent parton distributions and fragmentation functions from a global QCD analysis
text, January 2017

Ethier, J. J.; Sato, N.; Melnitchouk, W.
arXiv
DOI: 10.48550/arxiv.1705.05889

First determination of $D^{*+}$-meson fragmentation functions and their uncertainties at next-to-next-to-leading order
text, January 2017

Soleymaninia, Maryam; Khanpour, Hamzeh; Nejad, S. Mohammad Moosavi
arXiv
DOI: 10.48550/arxiv.1711.11344

Jet angularity measurements for single inclusive jet production
text, January 2018

Kang, Zhong-Bo; Lee, Kyle; Ringer, Felix
arXiv
DOI: 10.48550/arxiv.1801.00790

First global QCD analysis of charged hadron fragmentation functions and their uncertainties at next-to-next-to-leading order
text, January 2018

Soleymaninia, Maryam; Goharipour, Muhammad; Khanpour, Hamzeh
arXiv
DOI: 10.48550/arxiv.1805.04847

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Title: Fragmentation functions at next-to-next-to-leading order accuracy

Abstract

Citation Formats

Multiplicity and hadron distributions in QCD jets journal, March 1983

Evolution of parton densities beyond leading order journal, November 1980

AKK update: Improvements from new theoretical input and experimental data journal, November 2008

QCD corrections to semi-inclusive hadron production in electron–positron annihilation at two loops journal, September 2006

Scaling violation in e+e− fragmentation functions: QCD evolution, hadronization and heavy quark mass effects journal, June 1994

Pion and Kaon multiplicities in heavy quark jets from e+e− annihilation at 29 GeV journal, January 1987

Higher-order corrections to in quantum chromodynamics journal, August 1979

HPL, a Mathematica implementation of the harmonic polylogarithms journal, February 2006

corrections to particle multiplicity ratios in gluon and quark jets journal, July 1984

Reference results for time-like evolution up to O α s 3 $$ \mathcal{O}\left({\alpha}_s^3\right) $$ journal, March 2015

α(Q2) corrections to particle multiplicity ratios in gluon and quark jets journal, January 1985

Higher-order effects in asymptotically free gauge theories: The anomalous dimensions of Wilson operators journal, October 1977

Next-to-next-to-leading order evolution of non-singlet fragmentation functions journal, June 2006

Efficient evolution of unpolarized and polarized parton distributions with QCD-Pegasus journal, July 2005

Structural relations of harmonic sums and Mellin transforms up to weight w=5 journal, November 2009

On the next-to-next-to-leading order evolution of flavour-singlet fragmentation functions journal, January 2012

On third-order timelike splitting functions and top-mediated Higgs decay into hadrons journal, January 2008

Parton distributions in the LHC era: MMHT 2014 PDFs journal, May 2015

On the multiplicity of hadrons in QCD jets journal, August 1981

Errata journal, March 1983

Fragmentation functions for light charged hadrons with complete quark flavour separation journal, October 2005

Crossing heavy-flavour thresholds in fragmentation functions journal, October 2005

The three-loop splitting functions in QCD: the singlet case journal, July 2004

Timelike single-logarithm-resummed splitting functions journal, February 2012

Harmonic sums and Mellin transforms up to two-loop order journal, June 1999

O(αS2) contributions to the longitudinal fragmentation function in e+e− annihilation journal, October 1996

Processes involving fragmentation functions beyond the leading order in QCD journal, December 1979

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

Fully double-logarithm-resummed cross sections journal, October 2011

Jet multiplicity and soft gluon factorization journal, November 1982

Analytic continuation of Mellin transforms up to two-loop order journal, December 2000

timelike Wilson coefficients for parton–fragmentation functions in Mellin space journal, August 2006

The gell-mann-low function of QCD in the three-loop approximation journal, June 1980

$\pi^{\pm}$ , ${\rm K}^{\pm}$ , p and $\overline p$ production in ${\rm Z}^0 \rightarrow q\overline{q}$ , ${\rm Z}^0 \rightarrow b\overline{b}$ , ${\rm Z}^0 \rightarrow u\overlineu$ , $d\overline{d}$ , $s\overline{s}$ journal, October 1998

The longitudinal structure function at the third order journal, January 2005

The three-loop splitting functions in QCD: the non-singlet case journal, June 2004

Parton distribution and decay functions journal, January 1982

MT: A Mathematica package to compute convolutions journal, February 2014

Perspectives on Higgs Physics II book, November 1997

Fragmentation functions from flavor-inclusive and flavor-tagged e + e − annihilations journal, July 2000

Next-to-leading order fragmentation functions for pions and kaons journal, September 1995

Fragmentation functions for pions, kaons, and protons at next-to-leading order journal, August 2000

Determination of fragmentation functions and their uncertainties journal, May 2007

Global analysis of fragmentation functions for pions and kaons and their uncertainties journal, June 2007

Global analysis of fragmentation functions for protons and charged hadrons journal, October 2007

Parton-to-pion fragmentation reloaded journal, January 2015

Precision Measurement of Charged Pion and Kaon Differential Cross Sections in e + e − Annihilation at s = 10.52 GeV journal, August 2013

Production of charged pions, kaons, and protons in e + e − annihilations into hadrons at s = 10.54 GeV journal, August 2013

Parton distributions for the LHC run II journal, April 2015

Higher order QCD corrections to the transverse and longitudinal fragmentation functions in electron-positron annihilation journal, March 1997

Higher-Order Quantum Chromodynamic Corrections in e + e − Annihilation journal, September 1979

Analytic Calculation of Higher-Order Quantum-Chromodynamic Corrections in e + e − Annihilation journal, March 1980

Lepton-hadron processes beyond leading order in quantum chromodynamics journal, December 1982

Harmonic Polylogarithms journal, February 2000

Flavour symmetry breaking in antiquark distributions journal, March 1979

Towards Three-loop QCD Corrections to the Time-like Splitting Functions journal, January 2015

Perturbative Generation of a Strange-Quark Asymmetry in the Nucleon journal, October 2004

The three-loop QCD β-function and anomalous dimensions journal, April 1993

Charm electroproduction viewed in the variable-flavour number scheme versus fixed-order perturbation theory journal, March 1998

The large quark mass expansion of Λ(Z0 → hadrons) and Λ(τ− → vτ + hadrons)in the order αs3 journal, March 1995

Strong Coupling Constant with Flavor Thresholds at Four Loops in the Modified Minimal-Subtraction Scheme journal, September 1997

Small-x physics in perturbative QCD journal, July 1997

Production of π + , K + , K 0 , K * 0 , φ , p and Λ 0 in hadronic Z 0 decays journal, January 1999

Inclusive ?�, K� and $$(p,\bar p)$$ differential cross-sections at the Z resonance journal, September 1995

Measurement of the production rates of charged hadrons ine + e ?-annihilation at theZ 0 journal, June 1994

Charged-Hadron Inclusive Cross Sections and Fractions in e + e − Annihilation at s = 29 GeV journal, September 1988

Interplay of threshold resummation and hadron mass corrections in deep inelastic processes journal, February 2015

Resummation of small-x double logarithms in QCD: semi-inclusive electron-positron annihilation journal, October 2011

Resummed small-x and first-moment evolution of fragmentation functions in perturbative QCD journal, October 2012

Soft-gluon resummation for the fragmentation of light and heavy quarks at large x journal, December 2001

QCD resummation for semi-inclusive hadron production processes journal, February 2013

Charm electroproduction viewed in the variable-flavour number scheme versus fixed-order perturbation theory journal, January 1998

Perturbative Generation of a Strange-Quark Asymmetry in the Nucleon conference, June 2012

Harmonic sums and Mellin transforms up to two-loop order text, January 1999

Multiplicity and hadron distributions in QCD jets journal, November 1983

AKK Update: Improvements from New Theoretical Input and Experimental Data text, January 2008

Fully double-logarithm-resummed cross sections text, January 2011

Multiplicity and hadron distributions in QCD jets
journal, March 1983

Evolution of parton densities beyond leading order
journal, November 1980

AKK update: Improvements from new theoretical input and experimental data
journal, November 2008

QCD corrections to semi-inclusive hadron production in electron–positron annihilation at two loops
journal, September 2006

Scaling violation in e+e− fragmentation functions: QCD evolution, hadronization and heavy quark mass effects
journal, June 1994

Pion and Kaon multiplicities in heavy quark jets from e+e− annihilation at 29 GeV
journal, January 1987

Higher-order corrections to in quantum chromodynamics
journal, August 1979

HPL, a Mathematica implementation of the harmonic polylogarithms
journal, February 2006

corrections to particle multiplicity ratios in gluon and quark jets
journal, July 1984

Reference results for time-like evolution up to O α s 3 $$ \mathcal{O}\left({\alpha}_s^3\right) $$
journal, March 2015

α(Q2) corrections to particle multiplicity ratios in gluon and quark jets
journal, January 1985

Higher-order effects in asymptotically free gauge theories: The anomalous dimensions of Wilson operators
journal, October 1977

Next-to-next-to-leading order evolution of non-singlet fragmentation functions
journal, June 2006

Efficient evolution of unpolarized and polarized parton distributions with QCD-Pegasus
journal, July 2005

Structural relations of harmonic sums and Mellin transforms up to weight w=5
journal, November 2009

On the next-to-next-to-leading order evolution of flavour-singlet fragmentation functions
journal, January 2012

On third-order timelike splitting functions and top-mediated Higgs decay into hadrons
journal, January 2008

Parton distributions in the LHC era: MMHT 2014 PDFs
journal, May 2015

On the multiplicity of hadrons in QCD jets
journal, August 1981

Errata
journal, March 1983

Fragmentation functions for light charged hadrons with complete quark flavour separation
journal, October 2005

Crossing heavy-flavour thresholds in fragmentation functions
journal, October 2005

The three-loop splitting functions in QCD: the singlet case
journal, July 2004

Timelike single-logarithm-resummed splitting functions
journal, February 2012

Harmonic sums and Mellin transforms up to two-loop order
journal, June 1999

O(αS2) contributions to the longitudinal fragmentation function in e+e− annihilation
journal, October 1996

Processes involving fragmentation functions beyond the leading order in QCD
journal, December 1979

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

Fully double-logarithm-resummed cross sections
journal, October 2011

Jet multiplicity and soft gluon factorization
journal, November 1982

Analytic continuation of Mellin transforms up to two-loop order
journal, December 2000

timelike Wilson coefficients for parton–fragmentation functions in Mellin space
journal, August 2006

The gell-mann-low function of QCD in the three-loop approximation
journal, June 1980

$\pi^{\pm}$ , ${\rm K}^{\pm}$ , p and $\overline p$ production in ${\rm Z}^0 \rightarrow q\overline{q}$ , ${\rm Z}^0 \rightarrow b\overline{b}$ , ${\rm Z}^0 \rightarrow u\overlineu$ , $d\overline{d}$ , $s\overline{s}$
journal, October 1998

The longitudinal structure function at the third order
journal, January 2005

The three-loop splitting functions in QCD: the non-singlet case
journal, June 2004

Parton distribution and decay functions
journal, January 1982

MT: A Mathematica package to compute convolutions
journal, February 2014

Perspectives on Higgs Physics II
book, November 1997

Fragmentation functions from flavor-inclusive and flavor-tagged $e^{+} e^{-}$ annihilations
journal, July 2000

Next-to-leading order fragmentation functions for pions and kaons
journal, September 1995

Fragmentation functions for pions, kaons, and protons at next-to-leading order
journal, August 2000

Determination of fragmentation functions and their uncertainties
journal, May 2007

Global analysis of fragmentation functions for pions and kaons and their uncertainties
journal, June 2007

Global analysis of fragmentation functions for protons and charged hadrons
journal, October 2007

Parton-to-pion fragmentation reloaded
journal, January 2015

Precision Measurement of Charged Pion and Kaon Differential Cross Sections in $e^{+} e^{-}$ Annihilation at $\sqrt{s} = 10.52 GeV$
journal, August 2013

Production of charged pions, kaons, and protons in $e^{+} e^{-}$ annihilations into hadrons at $\sqrt{s} = 10.54 GeV$
journal, August 2013

Parton distributions for the LHC run II
journal, April 2015

Higher order QCD corrections to the transverse and longitudinal fragmentation functions in electron-positron annihilation
journal, March 1997

Higher-Order Quantum Chromodynamic Corrections in $e^{+} e^{-}$ Annihilation
journal, September 1979

Analytic Calculation of Higher-Order Quantum-Chromodynamic Corrections in $e^{+} e^{-}$ Annihilation
journal, March 1980

Lepton-hadron processes beyond leading order in quantum chromodynamics
journal, December 1982

Harmonic Polylogarithms
journal, February 2000

Flavour symmetry breaking in antiquark distributions
journal, March 1979

Towards Three-loop QCD Corrections to the Time-like Splitting Functions
journal, January 2015

Perturbative Generation of a Strange-Quark Asymmetry in the Nucleon
journal, October 2004

The three-loop QCD β-function and anomalous dimensions
journal, April 1993

Charm electroproduction viewed in the variable-flavour number scheme versus fixed-order perturbation theory
journal, March 1998

The large quark mass expansion of Λ(Z0 → hadrons) and Λ(τ− → vτ + hadrons)in the order αs3
journal, March 1995

Strong Coupling Constant with Flavor Thresholds at Four Loops in the Modified Minimal-Subtraction Scheme
journal, September 1997

Small-x physics in perturbative QCD
journal, July 1997

Production of $π^{+},$ $K^{+},$ $K^{0},$ $K^{* 0},$ $φ,$ $p$ and $Λ^{0}$ in hadronic $Z^{0}$ decays
journal, January 1999

Inclusive ?�, K� and $$(p,\bar p)$$ differential cross-sections at the Z resonance
journal, September 1995

Measurement of the production rates of charged hadrons ine + e ?-annihilation at theZ 0
journal, June 1994

Charged-Hadron Inclusive Cross Sections and Fractions in $e^{+} e^{-}$ Annihilation at $\sqrt{s} = 29$ GeV
journal, September 1988

Interplay of threshold resummation and hadron mass corrections in deep inelastic processes
journal, February 2015

Resummation of small-x double logarithms in QCD: semi-inclusive electron-positron annihilation
journal, October 2011

Resummed small-x and first-moment evolution of fragmentation functions in perturbative QCD
journal, October 2012

Soft-gluon resummation for the fragmentation of light and heavy quarks at large x
journal, December 2001

QCD resummation for semi-inclusive hadron production processes
journal, February 2013

Charm electroproduction viewed in the variable-flavour number scheme versus fixed-order perturbation theory
journal, January 1998

Perturbative Generation of a Strange-Quark Asymmetry in the Nucleon
conference, June 2012

Harmonic sums and Mellin transforms up to two-loop order
text, January 1999

Multiplicity and hadron distributions in QCD jets
journal, November 1983

AKK Update: Improvements from New Theoretical Input and Experimental Data
text, January 2008

Fully double-logarithm-resummed cross sections
text, January 2011

Timelike Single-logarithm-resummed Splitting Functions
text, January 2011

QCD resummation for semi-inclusive hadron production processes
text, January 2012

Parton-to-Pion Fragmentation Reloaded
text, January 2014