CGC factorization for forward particle production in proton-nucleus collisions at next-to-leading order

Iancu, E.; Mueller, A. H.; Triantafyllopoulos, D. N.

doi:10.1007/JHEP12(2016)041

Title: CGC factorization for forward particle production in proton-nucleus collisions at next-to-leading order

Abstract

Within the Color Glass Condensate effective theory, we reconsider the next-to-leading order (NLO) calculation of the single inclusive particle production at forward rapidities in proton-nucleus collisions at high energy. Focusing on quark production for definiteness, we establish a new factorization scheme, perturbatively correct through NLO, in which there is no ‘rapidity subtraction’. That is, the NLO correction to the impact factor is not explicitly separated from the high-energy evolution. Our construction exploits the skeleton structure of the (NLO) Balitsky-Kovchegov equation, in which the first step of the evolution is explicitly singled out. The NLO impact factor is included by computing this first emission with the exact kinematics for the emitted gluon, rather than by using the eikonal approximation. This particular calculation has already been presented in the literature, but the reorganization of the perturbation theory that we propose is new. As compared to the proposal in, our scheme is free of the fine-tuning inherent in the rapidity subtraction, which might be the origin of the negativity of the NLO cross-section observed in previous studies.

Authors:

Iancu, E. ^[1]; Mueller, A. H. ^[2]; Triantafyllopoulos, D. N. ^[3]

Univ. of Paris-Saclay, Gif-sur-Yvette (France). Inst. of Theoretical Physics
Columbia Univ., New York, NY (United States). Dept. of Physics
Fondazione Bruno Kessler, Villazzano (Italy). European Centre for Theoretical Studies in Nuclear Physics and Related Areas (ECT*)

Publication Date:: Tue Dec 13 00:00:00 EST 2016

Research Org.:: Columbia Univ., New York, NY (United States); Univ. of Paris-Saclay, Gif-sur-Yvette (France)

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP); European Research Council (ERC)

Contributing Org.:: Fondazione Bruno Kessler, Villazzano (Italy)

OSTI Identifier:: 1368070

Grant/Contract Number:: FG02-92ER40699; ERC-AD-267258

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: 2016; Journal Issue: 12; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Perturbative QCD; Resummation

Citation Formats


                    Iancu, E., Mueller, A. H., and Triantafyllopoulos, D. N. CGC factorization for forward particle production in proton-nucleus collisions at next-to-leading order.  United States: N. p., 2016. 
Web.  doi:10.1007/JHEP12(2016)041.

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                    Iancu, E., Mueller, A. H., & Triantafyllopoulos, D. N. CGC factorization for forward particle production in proton-nucleus collisions at next-to-leading order.  United States.  https://doi.org/10.1007/JHEP12(2016)041

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                    Iancu, E., Mueller, A. H., and Triantafyllopoulos, D. N. Tue .  
"CGC factorization for forward particle production in proton-nucleus collisions at next-to-leading order".  United States.  https://doi.org/10.1007/JHEP12(2016)041.  https://www.osti.gov/servlets/purl/1368070.

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@article{osti_1368070,

  title        = {CGC factorization for forward particle production in proton-nucleus collisions at next-to-leading order},

  author       = {Iancu, E. and Mueller, A. H. and Triantafyllopoulos, D. N.},

  abstractNote = {Within the Color Glass Condensate effective theory, we reconsider the next-to-leading order (NLO) calculation of the single inclusive particle production at forward rapidities in proton-nucleus collisions at high energy. Focusing on quark production for definiteness, we establish a new factorization scheme, perturbatively correct through NLO, in which there is no ‘rapidity subtraction’. That is, the NLO correction to the impact factor is not explicitly separated from the high-energy evolution. Our construction exploits the skeleton structure of the (NLO) Balitsky-Kovchegov equation, in which the first step of the evolution is explicitly singled out. The NLO impact factor is included by computing this first emission with the exact kinematics for the emitted gluon, rather than by using the eikonal approximation. This particular calculation has already been presented in the literature, but the reorganization of the perturbation theory that we propose is new. As compared to the proposal in, our scheme is free of the fine-tuning inherent in the rapidity subtraction, which might be the origin of the negativity of the NLO cross-section observed in previous studies.},

  doi          = {10.1007/JHEP12(2016)041},

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

  number       = 12,

  volume       = 2016,

  place        = {United States},

  year         = {Tue Dec 13 00:00:00 EST 2016},

  month        = {Tue Dec 13 00:00:00 EST 2016}

}

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https://doi.org/10.1063/1.3293957
Small-x Evolution of Structure Functions in the Next-to-Leading Order

Conference Chirilli, Giovanni Antonio - AIP Conf.Proc.

The high-energy behavior of amplitudes in gauge theories can be reformulated in terms of the evolution of Wilson-line operators. In the leading order this evolution is governed by the nonlinear Balitsky-Kovchegov (BK) equation. The NLO corrections define the scale of the running coupling constant in the BK equation and in QCD, its kernel has both conformal and non-conformal parts. To separate the conformally invariant effects from the running-coupling effects, we calculate the NLO evolution of the color dipoles in the conformal N = 4 SYM theory, then we define the "composite dipole operator" with the rapidity cutoff preserving conformal invariance,more »« less
https://doi.org/10.1063/1.3293957

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Title: CGC factorization for forward particle production in proton-nucleus collisions at next-to-leading order

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High-energy factorization and small-x deep inelastic scattering beyond leading order journal, October 1994

Next-to-leading and resummed BFKL evolution with saturation boundary journal, October 2011

Quark contribution to the small- x evolution of color dipole journal, January 2007

A resummation of large sub-leading corrections at small x journal, July 1998

Next-to-Leading-Order Forward Hadron Production in the Small- x Regime: The Role of Rapidity Factorization journal, August 2014

Saturation in inclusive production beyond leading logarithm accuracy journal, August 2016

The Color Glass Condensate journal, November 2010

Gluon saturation and initial conditions for relativistic heavy ion collisions journal, May 2014

Quark loop contribution to BFKL evolution: Running coupling and leading- NLO intercept journal, June 2007

Single inclusive hadron production at RHIC and the LHC from the color glass condensate journal, April 2010

Triumvirate of running couplings in small-x evolution journal, March 2007

Operator expansion for high-energy scattering journal, March 1996

Towards the Test of Saturation Physics Beyond Leading Logarithm journal, January 2014

Cronin effect and high- p T suppression in pA collisions journal, November 2003

Geometric Scaling for the Total γ * p Cross Section in the Low x Region journal, January 2001

Resummation of double collinear logs in BK evolution versus HERA data journal, January 2017

Unified BFKL and Gribov-Lipatov-Altarelli-Parisi description of F 2 data journal, October 1997

Collinearly-improved BK evolution meets the HERA data journal, November 2015

-Broadening and production processes versus dipole/quadrupole amplitudes at next-to-leading order journal, November 2012

The color glass condensate and hadron production in the forward region journal, February 2006

Azimuthal Correlations of Forward Dihadrons in d + Au Collisions at RHIC in the Color Glass Condensate journal, October 2010

The BFKL equation from the Wilson renormalization group journal, October 1997

Forward inclusive dijet production and azimuthal correlations in pA collisions journal, November 2007

One-Loop Factorization for Inclusive Hadron Production in p − A Collisions in the Saturation Formalism journal, March 2012

High energy factorization and small-x heavy flavour production journal, November 1991

Quantum Chromodynamics at High Energy book, September 2012

Cronin effect and high- suppression in the nuclear gluon distribution at small x journal, September 2004

The renormalization group equation for the color glass condensate journal, June 2001

Geometric Scaling as Traveling Waves journal, December 2003

QCD and Collider Physics book, January 1996

Inclusive production of a pair of hadrons separated by a large interval of rapidity in proton collisions journal, July 2012

Resumming double logarithms in the QCD evolution of color dipoles journal, May 2015

Geometric scaling above the saturation scale journal, October 2002

Renormalization group improved small- x Green’s function journal, December 2003

Inclusive gluon production in deep inelastic scattering at high parton density journal, March 2002

Relating different approaches to nonlinear QCD evolution at finite gluon density journal, October 2000

High energy pA collisions in the color glass condensate approach II: quark pair production journal, October 2004

High energy pA collisions in the color glass condensate approach I: gluon production and the Cronin effect journal, October 2004

The energy dependence of the saturation momentum journal, September 2002

Saturation effects in deep inelastic scattering at low Q 2 and its implications on diffraction journal, November 1998

Forward Quark Jets from Protons Shattering the Color Glass Condensate journal, June 2002

AAMQS: A non-linear QCD analysis of new HERA data at small-x including heavy quarks journal, July 2011

Dipole factorization for DIS at NLO: Loop correction to the γ T , L * → q q ¯ light-front wave functions journal, September 2016

Resummation of singlet parton evolution at small journal, May 2000

An “all-poles” approximation to collinear resummations in the Regge limit of perturbative QCD journal, August 2005

Gluon production in current-nucleus and nucleon-nucleus collisions in a quasi-classical approximation journal, September 1998

Energy Dependence of the Cronin Effect from Nonlinear QCD Evolution journal, February 2004

Collinearly improved JIMWLK evolution in Langevin form journal, August 2016

Gluon splitting in a shockwave journal, October 2013

Renormalization group improved small- x equation journal, November 1999

Gluon distribution functions for very large nuclei at small transverse momentum journal, April 1994

Geometric Scaling for the Total gamma*p Cross Section in the Low x Region text, January 2001

Single Inclusive Hadron Production at RHIC and the LHC from the Color Glass Condensate text, January 2010

The Color Glass Condensate text, January 2010

Azimuthal correlations of forward di-hadrons in d+Au collisions at RHIC in the Color Glass Condensate text, January 2010

Next-to-leading and resummed BFKL evolution with saturation boundary text, January 2011

Inclusive production of a pair of hadrons separated by a large interval of rapidity in proton collisions text, January 2012

Towards the Test of Saturation Physics Beyond Leading Logarithm text, January 2013

Gluon saturation and initial conditions for relativistic heavy ion collisions text, January 2014

Collinearly improved JIMWLK evolution in Langevin form text, January 2016

Saturation in inclusive production beyond leading logarithm accuracy text, January 2016

Relating different approaches to nonlinear QCD evolution at finite gluon density text, January 2000

The Renormalization Group Equation for the Color Glass Condensate text, January 2001

Geometric Scaling above the Saturation Scale text, January 2002

The Energy Dependence of the Saturation Momentum text, January 2002

Cronin Effect and High-p_T Suppression in pA Collisions text, January 2003

Energy Dependence of the Cronin Effect from Non-Linear QCD Evolution text, January 2003

Renormalisation group improved small-x Green's function text, January 2003

An "all-poles" approximation to collinear resummations in the Regge limit of perturbative QCD text, January 2005

Quark contribution to the small-$x$ evolution of color dipole text, January 2006

Quark loop contribution to BFKL evolution: Running coupling and leading-N_f NLO intercept text, January 2006

Gluon Distribution Functions for Very Large Nuclei at Small Transverse Momentum text, January 1993

The BFKL Equation from the Wilson Renormalization Group text, January 1997

Renormalization Group Improved Small-x Equation text, January 1999

Resummation of Singlet Parton Evolution at Small x text, January 1999

Soft photon and two hard jets forward production in proton-nucleus collisions journal, April 2018

Interplay of the CGC and TMD frameworks to all orders in kinematic twist text, January 2019

High-energy factorization and small-x deep inelastic scattering beyond leading order
journal, October 1994

Next-to-leading and resummed BFKL evolution with saturation boundary
journal, October 2011

Quark contribution to the small- $x$ evolution of color dipole
journal, January 2007

A resummation of large sub-leading corrections at small x
journal, July 1998

Next-to-Leading-Order Forward Hadron Production in the Small- $x$ Regime: The Role of Rapidity Factorization
journal, August 2014

Saturation in inclusive production beyond leading logarithm accuracy
journal, August 2016

The Color Glass Condensate
journal, November 2010

Gluon saturation and initial conditions for relativistic heavy ion collisions
journal, May 2014

Quark loop contribution to BFKL evolution: Running coupling and leading- NLO intercept
journal, June 2007

Single inclusive hadron production at RHIC and the LHC from the color glass condensate
journal, April 2010

Triumvirate of running couplings in small-x evolution
journal, March 2007

Operator expansion for high-energy scattering
journal, March 1996

Towards the Test of Saturation Physics Beyond Leading Logarithm
journal, January 2014

Cronin effect and high- $p_{T}$ suppression in pA collisions
journal, November 2003

Geometric Scaling for the Total $γ^{*} p$ Cross Section in the Low $x$ Region
journal, January 2001

Resummation of double collinear logs in BK evolution versus HERA data
journal, January 2017

Unified BFKL and Gribov-Lipatov-Altarelli-Parisi description of $F_{2}$ data
journal, October 1997

Collinearly-improved BK evolution meets the HERA data
journal, November 2015

-Broadening and production processes versus dipole/quadrupole amplitudes at next-to-leading order
journal, November 2012

The color glass condensate and hadron production in the forward region
journal, February 2006

Azimuthal Correlations of Forward Dihadrons in $d + Au$ Collisions at RHIC in the Color Glass Condensate
journal, October 2010

The BFKL equation from the Wilson renormalization group
journal, October 1997

Forward inclusive dijet production and azimuthal correlations in pA collisions
journal, November 2007

One-Loop Factorization for Inclusive Hadron Production in $p − A$ Collisions in the Saturation Formalism
journal, March 2012

High energy factorization and small-x heavy flavour production
journal, November 1991

Quantum Chromodynamics at High Energy
book, September 2012

Cronin effect and high- suppression in the nuclear gluon distribution at small x
journal, September 2004

The renormalization group equation for the color glass condensate
journal, June 2001

Geometric Scaling as Traveling Waves
journal, December 2003

QCD and Collider Physics
book, January 1996

Inclusive production of a pair of hadrons separated by a large interval of rapidity in proton collisions
journal, July 2012

Resumming double logarithms in the QCD evolution of color dipoles
journal, May 2015

Geometric scaling above the saturation scale
journal, October 2002

Renormalization group improved small- $x$ Green’s function
journal, December 2003

Inclusive gluon production in deep inelastic scattering at high parton density
journal, March 2002

Relating different approaches to nonlinear QCD evolution at finite gluon density
journal, October 2000

High energy pA collisions in the color glass condensate approach II: quark pair production
journal, October 2004

High energy pA collisions in the color glass condensate approach I: gluon production and the Cronin effect
journal, October 2004

The energy dependence of the saturation momentum
journal, September 2002

Saturation effects in deep inelastic scattering at low $Q^{2}$ and its implications on diffraction
journal, November 1998

Forward Quark Jets from Protons Shattering the Color Glass Condensate
journal, June 2002

AAMQS: A non-linear QCD analysis of new HERA data at small-x including heavy quarks
journal, July 2011

Dipole factorization for DIS at NLO: Loop correction to the $γ_{T, L}^{*} \to q \bar{q}$ light-front wave functions
journal, September 2016

Resummation of singlet parton evolution at small
journal, May 2000

An “all-poles” approximation to collinear resummations in the Regge limit of perturbative QCD
journal, August 2005

Gluon production in current-nucleus and nucleon-nucleus collisions in a quasi-classical approximation
journal, September 1998

Energy Dependence of the Cronin Effect from Nonlinear QCD Evolution
journal, February 2004

Collinearly improved JIMWLK evolution in Langevin form
journal, August 2016

Gluon splitting in a shockwave
journal, October 2013

Renormalization group improved small- $x$ equation
journal, November 1999

Gluon distribution functions for very large nuclei at small transverse momentum
journal, April 1994

Geometric Scaling for the Total gamma*p Cross Section in the Low x Region
text, January 2001

Single Inclusive Hadron Production at RHIC and the LHC from the Color Glass Condensate
text, January 2010

The Color Glass Condensate
text, January 2010

Azimuthal correlations of forward di-hadrons in d+Au collisions at RHIC in the Color Glass Condensate
text, January 2010

Next-to-leading and resummed BFKL evolution with saturation boundary
text, January 2011

Inclusive production of a pair of hadrons separated by a large interval of rapidity in proton collisions
text, January 2012

Towards the Test of Saturation Physics Beyond Leading Logarithm
text, January 2013

Gluon saturation and initial conditions for relativistic heavy ion collisions
text, January 2014

Collinearly improved JIMWLK evolution in Langevin form
text, January 2016

Saturation in inclusive production beyond leading logarithm accuracy
text, January 2016

Relating different approaches to nonlinear QCD evolution at finite gluon density
text, January 2000

The Renormalization Group Equation for the Color Glass Condensate
text, January 2001

Geometric Scaling above the Saturation Scale
text, January 2002

The Energy Dependence of the Saturation Momentum
text, January 2002

Cronin Effect and High-p_T Suppression in pA Collisions
text, January 2003

Energy Dependence of the Cronin Effect from Non-Linear QCD Evolution
text, January 2003

Renormalisation group improved small-x Green's function
text, January 2003

An "all-poles" approximation to collinear resummations in the Regge limit of perturbative QCD
text, January 2005

Quark contribution to the small-$x$ evolution of color dipole
text, January 2006

Quark loop contribution to BFKL evolution: Running coupling and leading-N_f NLO intercept
text, January 2006

Gluon Distribution Functions for Very Large Nuclei at Small Transverse Momentum
text, January 1993

The BFKL Equation from the Wilson Renormalization Group
text, January 1997

Renormalization Group Improved Small-x Equation
text, January 1999

Resummation of Singlet Parton Evolution at Small x
text, January 1999

Soft photon and two hard jets forward production in proton-nucleus collisions
journal, April 2018

Interplay of the CGC and TMD frameworks to all orders in kinematic twist
text, January 2019

Improvement for Color Glass Condensate factorization: single hadron production in pA collisions at next-to-leading order
text, January 2019