Semi-inclusive deep-inelastic scattering in Wandzura-Wilczek-type approximation

Bastami, Saman; Avakian, Harut; Efremov, A. V.; Kotzinian, Aram; Musch, Bernhard; Parsamyan, B.; Prokudin, Alexei; Schlegel, Mark; Schnell, Gunar; Schweitzer, Peter; Tezgin, Kemal

doi:10.1007/JHEP06(2019)007

Title: Semi-inclusive deep-inelastic scattering in Wandzura-Wilczek-type approximation

Abstract

We present the complete cross-section for the production of unpolarized hadrons in semi-inclusive deep-inelastic scattering up to power-suppressed $${\cal O}(1/Q^2)$$ terms in the Wandzura--Wilczek-type approximation which consists in systematically assuming that $$\bar{q}gq$$--terms are much smaller than $$\bar{q}q$$--correlators. We compute all twist-2 and twist-3 structure functions and the corresponding asymmetries, and discuss the applicability of the Wandzura--Wilczek-type approximations on the basis of available data. We make predictions which can be tested by data from Jefferson Lab, COMPASS, HERMES, and the future Electron-Ion Collider. The results of this paper can be readily used for phenomenology and for event generators, and will help to improve our understanding of the TMD theory beyond leading twist.

Authors:

Bastami, Saman ^[1];

^[2]; Efremov, A. V. ^[3]; Kotzinian, Aram ^[4]; Musch, Bernhard ^[5]; Parsamyan, B. ^[6];

^[7]; Schlegel, Mark ^[8]; Schnell, Gunar ^[9]; Schweitzer, Peter ^[10]; Tezgin, Kemal ^[1]

Univ. of Connecticut, Storrs, CT (United States)
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Joint Inst. for Nuclear Research (JINR), Dubna (Russian Federation)
Yerevan Physics Inst. (YerPhI) (Armenia); Istituto Nazionale di Fisica Nucleare (INFN), Torino (Italy)
Univ. of Regensburg (Germany). Inst. for Theoretische Physik
European Organization for Nuclear Research (CERN), Geneva (Switzerland); Istituto Nazionale di Fisica Nucleare (INFN), Torino (Italy)
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Pennsylvania State Univ., Reading, PA (United States). Penn State Berks, Division of Science
New Mexico State Univ., Las Cruces, NM (United States)
Univ. of the Basque Country UPV/EHU, Bilbao (Spain). Dept. of Theoretical Physics; IKERBASQUE, Basque Foundation for Science, Bilbao (Spain)
Univ. of Connecticut, Storrs, CT (United States); Univ. Tubingen, Tubingen (Germany). Inst. for Theoretical Physics

Publication Date:: 2019-06-04

Research Org.:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Nuclear Physics (NP); National Science Foundation (NSF)

OSTI Identifier:: 1532348

Report Number(s):: JLAB-THY-18-2775; DOE/OR/-23177-4500; arXiv:1807.10606
Journal ID: ISSN 1029-8479

Grant/Contract Number:: AC05-06OR23177; FG02-04ER41309; PHY-1623454; PHY-1812423

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: 2019; Journal Issue: 6; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Deep Inelastic Scattering (Phenomenology); QCD Phenomenology

Citation Formats


                    Bastami, Saman, Avakian, Harut, Efremov, A. V., Kotzinian, Aram, Musch, Bernhard, Parsamyan, B., Prokudin, Alexei, Schlegel, Mark, Schnell, Gunar, Schweitzer, Peter, and Tezgin, Kemal. Semi-inclusive deep-inelastic scattering in Wandzura-Wilczek-type approximation.  United States: N. p., 2019. 
Web.  doi:10.1007/JHEP06(2019)007.

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                    Bastami, Saman, Avakian, Harut, Efremov, A. V., Kotzinian, Aram, Musch, Bernhard, Parsamyan, B., Prokudin, Alexei, Schlegel, Mark, Schnell, Gunar, Schweitzer, Peter, & Tezgin, Kemal. Semi-inclusive deep-inelastic scattering in Wandzura-Wilczek-type approximation.  United States.  https://doi.org/10.1007/JHEP06(2019)007

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                    Bastami, Saman, Avakian, Harut, Efremov, A. V., Kotzinian, Aram, Musch, Bernhard, Parsamyan, B., Prokudin, Alexei, Schlegel, Mark, Schnell, Gunar, Schweitzer, Peter, and Tezgin, Kemal. Tue .  
"Semi-inclusive deep-inelastic scattering in Wandzura-Wilczek-type approximation".  United States.  https://doi.org/10.1007/JHEP06(2019)007.  https://www.osti.gov/servlets/purl/1532348.

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@article{osti_1532348,

  title        = {Semi-inclusive deep-inelastic scattering in Wandzura-Wilczek-type approximation},

  author       = {Bastami, Saman and Avakian, Harut and Efremov, A. V. and Kotzinian, Aram and Musch, Bernhard and Parsamyan, B. and Prokudin, Alexei and Schlegel, Mark and Schnell, Gunar and Schweitzer, Peter and Tezgin, Kemal},

  abstractNote = {We present the complete cross-section for the production of unpolarized hadrons in semi-inclusive deep-inelastic scattering up to power-suppressed ${\cal O}(1/Q^2)$ terms in the Wandzura--Wilczek-type approximation which consists in systematically assuming that $\bar{q}gq$--terms are much smaller than $\bar{q}q$--correlators. We compute all twist-2 and twist-3 structure functions and the corresponding asymmetries, and discuss the applicability of the Wandzura--Wilczek-type approximations on the basis of available data. We make predictions which can be tested by data from Jefferson Lab, COMPASS, HERMES, and the future Electron-Ion Collider. The results of this paper can be readily used for phenomenology and for event generators, and will help to improve our understanding of the TMD theory beyond leading twist.},

  doi          = {10.1007/JHEP06(2019)007},

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

  number       = 6,

  volume       = 2019,

  place        = {United States},

  year         = {2019},

  month        = {6}

}

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Computation of parton distributions from the quasi-PDF approach at the physical point
text, January 2017

Alexandrou, Constantia; Bacchio, Simone; Cichy, Krzysztof
arXiv
DOI: 10.48550/arxiv.1710.06408

First measurement of transverse-spin-dependent azimuthal asymmetries in the Drell-Yan process
preprint, January 2018

Parsamyan, Bakur
arXiv
DOI: 10.48550/arxiv.1801.01487

Measurement of longitudinal-target-polarization dependent azimuthal asymmetries in SIDIS at COMPASS experiment
preprint, January 2018

Parsamyan, Bakur
arXiv
DOI: 10.48550/arxiv.1801.01488

First Extraction of Transversity from a Global Analysis of Electron-Proton and Proton-Proton Data
text, January 2018

Radici, Marco; Bacchetta, Alessandro
arXiv
DOI: 10.48550/arxiv.1802.05212

Transverse momentum dependent distributions with jets
text, January 2018

Gutierrez-Reyes, Daniel; Scimemi, Ignazio; Waalewijn, Wouter J.
arXiv
DOI: 10.48550/arxiv.1807.07573

Lorentz invariance relations among parton distributions revisited
text, January 2003

Goeke, K.; Metz, A.; Pobylitsa, P. V.
arXiv
DOI: 10.48550/arxiv.hep-ph/0302028

Sivers effect in semi-inclusive DIS and in the Drell-Yan process
text, January 2004

Efremov, A. V.; Goeke, K.; Menzel, S.
arXiv
DOI: 10.48550/arxiv.hep-ph/0412353

Light-cone divergence in twist-3 correlation functions
text, January 2006

Gamberg, L. P.; Hwang, D. S.; Metz, A.
arXiv
DOI: 10.48550/arxiv.hep-ph/0604022

Dynamical Parton Distributions Revisited
text, January 1998

Gl"uck, M.; Reya, E.; Vogt, A.
arXiv
DOI: 10.48550/arxiv.hep-ph/9806404

Works referencing / citing this record:

$Cos ϕ_{R}$ asymmetry of dihadron production in double longitudinally polarized SIDIS
journal, October 2019

Yang, Wei; Li, Hui; Lu, Zhun
Physical Review D, Vol. 100, Issue 7
DOI: 10.1103/physrevd.100.074033

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Title: Semi-inclusive deep-inelastic scattering in Wandzura-Wilczek-type approximation

Abstract

Citation Formats

Comparing Extractions of Sivers Functions conference, January 2012

First Measurement of Transverse-Spin-Dependent Azimuthal Asymmetries in the Drell-Yan Process text, January 2017

Q 2 evolution of the nucleon’s chiral-odd twist-three structure function: h L ( x , Q 2 ) journal, June 1995

Azimuthal dependence in leptoproduction: A simple parton model calculation journal, September 1978

First Extraction of Transversity from a Global Analysis of Electron-Proton and Proton-Proton Data journal, May 2018

Transverse Spin Azimuthal Asymmetries in SIDIS at COMPASS: Multidimensional Analysis journal, January 2016

Polarized H, D and 3He targets for particle physics experiments journal, January 2002

Light-cone divergence in twist-3 correlation functions journal, August 2006

Sidis Asymmetries in Quark-Diquark Model conference, January 2012

Unpolarized transverse momentum dependent parton distribution functions beyond leading twist in quark models journal, January 2015

Beam spin asymmetries from semi-inclusive pion electroproduction in deep inelastic scattering conference, January 2009

The role of instantons in quantum chromodynamics journal, August 1982

II – Experimental investigation of transverse spin asymmetries in μ-p SIDIS processes: Sivers asymmetries journal, October 2012

Parton fragmentation functions journal, November 2016

The g[sub 2] Structure Function conference, January 2009

Transverse spin asymmetries at COMPASS: beyond Collins and Sivers effects conference, December 2013

Bounds on Transverse Momentum Dependent Distribution and Fragmentation Functions journal, July 2000

Spin-Orbit Correlations and Single-Spin Asymmetries conference, January 2012

Measurement of longitudinal target polarization dependent azimuthal asymmetries in SIDIS at COMPASS experiment conference, January 2018

Semi-inclusive deep inelastic scattering at small transverse momentum journal, February 2007

First extraction of valence transversities in a collinear framework journal, March 2013

Computation of parton distributions from the quasi-PDF approach at the physical point text, January 2018

Intrinsic quark transverse momentum in the nucleon from lattice QCD journal, December 2009

Computation of parton distributions from the quasi-PDF approach at the physical point journal, January 2018

Improved extraction of valence transversity distributions from inclusive dihadron production journal, May 2015

Extraction of partonic transverse momentum distributions from semi-inclusive deep-inelastic scattering, Drell-Yan and Z-boson production journal, June 2017

QCD corrections of all structure functions in transverse momentum dependent factorization for Drell-Yan processes journal, February 2014

Soft and collinear factorization and transverse momentum dependent parton distribution functions journal, November 2013

Unpolarised transverse momentum dependent distribution and fragmentation functions from SIDIS multiplicities journal, April 2014

The Sivers and other semi-inclusive single-spin asymmetries at HERMES conference, October 2010

First measurement of transverse-spin-dependent azimuthal asymmetries in the Drell-Yan process conference, January 2018

Lorentz invariance relations among parton distributions revisited journal, August 2003

Dynamical parton distributions revisited journal, September 1998

Indication on the Process Dependence of the Sivers Effect journal, June 2013

Solid Polarized Targets for Nuclear and Particle Physics Experiments journal, December 1997

Sum rules for spin-dependent electroproduction- test of relativistic constituent quarks journal, December 1977

Azimuthal and single spin asymmetries in hard scattering processes journal, October 2008

Measurement of the Inclusive Electroproduction of Hadrons journal, September 1972

Dynamical parton distributions revisited journal, January 1998

Twist-2 matching of transverse momentum dependent distributions journal, June 2017

What can break the Wandzura-Wilczek relation? journal, November 2009

Sivers effect in semi-inclusive DIS and in the Drell–Yan process journal, April 2005

Calculation of Transverse-Momentum-Dependent Evolution for Sivers Transverse Single Spin Asymmetry Measurements journal, June 2012

Studying the information content of TMDs using Monte Carlo generators journal, February 2015

Matches and mismatches in the descriptions of semi-inclusive processes at low and high transverse momentum journal, August 2008

Intrinsic transverse momentum and parton correlations from dynamical chiral symmetry breaking journal, January 2013

Constraining Quark Angular Momentum through Semi-Inclusive Measurements journal, November 2011

Transverse-Momentum-Dependent Distributions with Jets journal, October 2018

Investigations into the flavor dependence of partonic transverse momentum journal, November 2013

Unified framework for generalized and transverse-momentum dependent parton distributions within a 3Q light-cone picture of the nucleon journal, May 2011

New quark distributions and semi-inclusive electroproduction on polarized nucleons journal, May 1995

The complete tree-level result up to order 1/Q for polarized deep-inelastic leptoproduction journal, February 1996

Time-reversal odd distribution functions in leptoproduction journal, May 1998

The FILTEX/HERMES polarized hydrogen atomic beam source journal, April 1994

Dilepton production from polarized hadron hadron collisions journal, February 2009

Densities, parton distributions, and measuring the nonspherical shape of the nucleon journal, December 2007

Chiral-odd parton distributions and Drell-Yan processes journal, May 1992

Nucleon matrix elements of higher-twist operators from the instanton vacuum journal, January 1998

Twist-3 contribution to h L in the instanton vacuum journal, March 2000

Lattice calculation of the nucleon’s spin-dependent structure function g 2 reexamined journal, March 2001

Investigation of the second moment of the nucleon’s g 1 and g 2 structure functions in two-flavor lattice QCD journal, September 2005

Longitudinal quark polarization in transversely polarized nucleons journal, July 1996

Probing transverse quark polarization via azimuthal asymmetries in leptoproduction journal, August 1997

Predictions for double spin asymmetry A L T in semiinclusive DIS journal, June 2006

Are there approximate relations among transverse momentum dependent distribution functions? journal, January 2008

Lorentz invariance relations between parton distributions and the Wandzura–Wilczek approximation journal, September 2009

Lorentz Invariance Relations and Wandzura–Wilczek Approximation journal, December 2009

Twist-3 single-spin asymmetries in semi-inclusive deep-inelastic scattering journal, November 2004

Leading-twist single-transverse-spin asymmetries: Drell–Yan and deep-inelastic scattering journal, May 2002

Production of dimuons from high-energy polarized proton-proton collisions journal, May 1979

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

QCD factorization for semi-inclusive deep-inelastic scattering at low transverse momentum journal, February 2005

QCD factorization for spin-dependent cross sections in DIS and Drell–Yan processes at low transverse momentum journal, September 2004

Transverse momentum dependent parton distribution and fragmentation functions with QCD evolution journal, June 2011

QCD evolution of the Sivers function journal, February 2012

QCD evolution of the Sivers asymmetry journal, April 2014

Understanding the large-distance behavior of transverse-momentum-dependent parton densities and the Collins-Soper evolution kernel journal, April 2015

Comparing Extractions of Sivers Functions
conference, January 2012

First Measurement of Transverse-Spin-Dependent Azimuthal Asymmetries in the Drell-Yan Process
text, January 2017

$Q^{2}$ evolution of the nucleon’s chiral-odd twist-three structure function: $h_{L}$ ( x , $Q^{2}$ )
journal, June 1995

Azimuthal dependence in leptoproduction: A simple parton model calculation
journal, September 1978

First Extraction of Transversity from a Global Analysis of Electron-Proton and Proton-Proton Data
journal, May 2018

Transverse Spin Azimuthal Asymmetries in SIDIS at COMPASS: Multidimensional Analysis
journal, January 2016

Polarized H, D and 3He targets for particle physics experiments
journal, January 2002

Light-cone divergence in twist-3 correlation functions
journal, August 2006

Sidis Asymmetries in Quark-Diquark Model
conference, January 2012

Unpolarized transverse momentum dependent parton distribution functions beyond leading twist in quark models
journal, January 2015

Beam spin asymmetries from semi-inclusive pion electroproduction in deep inelastic scattering
conference, January 2009

The role of instantons in quantum chromodynamics
journal, August 1982

II – Experimental investigation of transverse spin asymmetries in μ-p SIDIS processes: Sivers asymmetries
journal, October 2012

Parton fragmentation functions
journal, November 2016

The g[sub 2] Structure Function
conference, January 2009

Transverse spin asymmetries at COMPASS: beyond Collins and Sivers effects
conference, December 2013

Bounds on Transverse Momentum Dependent Distribution and Fragmentation Functions
journal, July 2000

Spin-Orbit Correlations and Single-Spin Asymmetries
conference, January 2012

Measurement of longitudinal target polarization dependent azimuthal asymmetries in SIDIS at COMPASS experiment
conference, January 2018

Semi-inclusive deep inelastic scattering at small transverse momentum
journal, February 2007

First extraction of valence transversities in a collinear framework
journal, March 2013

Computation of parton distributions from the quasi-PDF approach at the physical point
text, January 2018

Intrinsic quark transverse momentum in the nucleon from lattice QCD
journal, December 2009

Computation of parton distributions from the quasi-PDF approach at the physical point
journal, January 2018

Improved extraction of valence transversity distributions from inclusive dihadron production
journal, May 2015

Extraction of partonic transverse momentum distributions from semi-inclusive deep-inelastic scattering, Drell-Yan and Z-boson production
journal, June 2017

QCD corrections of all structure functions in transverse momentum dependent factorization for Drell-Yan processes
journal, February 2014

Soft and collinear factorization and transverse momentum dependent parton distribution functions
journal, November 2013

Unpolarised transverse momentum dependent distribution and fragmentation functions from SIDIS multiplicities
journal, April 2014

The Sivers and other semi-inclusive single-spin asymmetries at HERMES
conference, October 2010

First measurement of transverse-spin-dependent azimuthal asymmetries in the Drell-Yan process
conference, January 2018

Lorentz invariance relations among parton distributions revisited
journal, August 2003

Dynamical parton distributions revisited
journal, September 1998

Indication on the Process Dependence of the Sivers Effect
journal, June 2013

Solid Polarized Targets for Nuclear and Particle Physics Experiments
journal, December 1997

Sum rules for spin-dependent electroproduction- test of relativistic constituent quarks
journal, December 1977

Azimuthal and single spin asymmetries in hard scattering processes
journal, October 2008

Measurement of the Inclusive Electroproduction of Hadrons
journal, September 1972

Dynamical parton distributions revisited
journal, January 1998

Twist-2 matching of transverse momentum dependent distributions
journal, June 2017

What can break the Wandzura-Wilczek relation?
journal, November 2009

Sivers effect in semi-inclusive DIS and in the Drell–Yan process
journal, April 2005

Calculation of Transverse-Momentum-Dependent Evolution for Sivers Transverse Single Spin Asymmetry Measurements
journal, June 2012

Studying the information content of TMDs using Monte Carlo generators
journal, February 2015

Matches and mismatches in the descriptions of semi-inclusive processes at low and high transverse momentum
journal, August 2008

Intrinsic transverse momentum and parton correlations from dynamical chiral symmetry breaking
journal, January 2013

Constraining Quark Angular Momentum through Semi-Inclusive Measurements
journal, November 2011

Transverse-Momentum-Dependent Distributions with Jets
journal, October 2018

Investigations into the flavor dependence of partonic transverse momentum
journal, November 2013

Unified framework for generalized and transverse-momentum dependent parton distributions within a 3Q light-cone picture of the nucleon
journal, May 2011

New quark distributions and semi-inclusive electroproduction on polarized nucleons
journal, May 1995

The complete tree-level result up to order 1/Q for polarized deep-inelastic leptoproduction
journal, February 1996

Time-reversal odd distribution functions in leptoproduction
journal, May 1998

The FILTEX/HERMES polarized hydrogen atomic beam source
journal, April 1994

Dilepton production from polarized hadron hadron collisions
journal, February 2009

Densities, parton distributions, and measuring the nonspherical shape of the nucleon
journal, December 2007

Chiral-odd parton distributions and Drell-Yan processes
journal, May 1992

Nucleon matrix elements of higher-twist operators from the instanton vacuum
journal, January 1998

Twist-3 contribution to $h_{L}$ in the instanton vacuum
journal, March 2000

Lattice calculation of the nucleon’s spin-dependent structure function $g_{2}$ reexamined
journal, March 2001

Investigation of the second moment of the nucleon’s $g_{1}$ and $g_{2}$ structure functions in two-flavor lattice QCD
journal, September 2005

Longitudinal quark polarization in transversely polarized nucleons
journal, July 1996

Probing transverse quark polarization via azimuthal asymmetries in leptoproduction
journal, August 1997

Predictions for double spin asymmetry $A_{L T}$ in semiinclusive DIS
journal, June 2006

Are there approximate relations among transverse momentum dependent distribution functions?
journal, January 2008

Lorentz invariance relations between parton distributions and the Wandzura–Wilczek approximation
journal, September 2009

Lorentz Invariance Relations and Wandzura–Wilczek Approximation
journal, December 2009

Twist-3 single-spin asymmetries in semi-inclusive deep-inelastic scattering
journal, November 2004

Leading-twist single-transverse-spin asymmetries: Drell–Yan and deep-inelastic scattering
journal, May 2002

Production of dimuons from high-energy polarized proton-proton collisions
journal, May 1979

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

QCD factorization for semi-inclusive deep-inelastic scattering at low transverse momentum
journal, February 2005

QCD factorization for spin-dependent cross sections in DIS and Drell–Yan processes at low transverse momentum
journal, September 2004

Transverse momentum dependent parton distribution and fragmentation functions with QCD evolution
journal, June 2011

QCD evolution of the Sivers function
journal, February 2012

QCD evolution of the Sivers asymmetry
journal, April 2014

Understanding the large-distance behavior of transverse-momentum-dependent parton densities and the Collins-Soper evolution kernel
journal, April 2015

Extraction of quark transversity distribution and Collins fragmentation functions with QCD evolution
journal, January 2016

Matching of transverse momentum dependent distributions at twist-3
journal, October 2018

Light-cone singularities and transverse-momentum-dependent factorization at twist-3
journal, May 2017