Single-spin asymmetries at two loops

doi:10.1103/PhysRevD.100.094027

Title: Single-spin asymmetries at two loops

Abstract

We find a novel mechanism for generating transverse single-spin asymmetry (SSA) in semi-inclusive deep inelastic scattering, distinct from the known ones which involve the Sivers and Collins functions, or their collinear twist-three counterparts. It is demonstrated that a phase needed for SSA can be produced purely within a parton-level cross section starting at two loops. We identify the complete set of two-loop diagrams for SSA, and discuss their gauge invariance and collinear factorization which features the gT distribution function. In the kT factorization framework, many more sources for SSA exist, and contributions from all possible two-parton transverse-momentum-dependent parton distribution functions are presented up to two loops and twist three.

Authors:

Benić, Sanjin;

;

Publication Date:: 2019-11-22

Research Org.:: Brookhaven National Lab. (BNL), Upton, NY (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Nuclear Physics (NP)

OSTI Identifier:: 1575303

Alternate Identifier(s):: OSTI ID: 1575916

Report Number(s):: BNL-212365-2019-JAAM
Journal ID: ISSN 2470-0010; PRVDAQ; 094027

Grant/Contract Number:: SC0012704

Resource Type:: Published Article

Journal Name:: Physical Review D

Additional Journal Information:: Journal Name: Physical Review D Journal Volume: 100 Journal Issue: 9; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Subject:: 73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats


                    Benić, Sanjin, Hatta, Yoshitaka, Li, Hsiang-nan, and Yang, Dong-Jing. Single-spin asymmetries at two loops.  United States: N. p., 2019. 
        Web.  doi:10.1103/PhysRevD.100.094027.

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                    Benić, Sanjin, Hatta, Yoshitaka, Li, Hsiang-nan, & Yang, Dong-Jing. Single-spin asymmetries at two loops.  United States.  doi:10.1103/PhysRevD.100.094027.

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                    Benić, Sanjin, Hatta, Yoshitaka, Li, Hsiang-nan, and Yang, Dong-Jing. Fri .  
        "Single-spin asymmetries at two loops".  United States.  doi:10.1103/PhysRevD.100.094027.

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@article{osti_1575303,

  title        = {Single-spin asymmetries at two loops},

  author       = {Benić, Sanjin and Hatta, Yoshitaka and Li, Hsiang-nan and Yang, Dong-Jing},

  abstractNote = {We find a novel mechanism for generating transverse single-spin asymmetry (SSA) in semi-inclusive deep inelastic scattering, distinct from the known ones which involve the Sivers and Collins functions, or their collinear twist-three counterparts. It is demonstrated that a phase needed for SSA can be produced purely within a parton-level cross section starting at two loops. We identify the complete set of two-loop diagrams for SSA, and discuss their gauge invariance and collinear factorization which features the gT distribution function. In the kT factorization framework, many more sources for SSA exist, and contributions from all possible two-parton transverse-momentum-dependent parton distribution functions are presented up to two loops and twist three.},

  doi          = {10.1103/PhysRevD.100.094027},

  journal      = {Physical Review D},

  number       = 9,

  volume       = 100,

  place        = {United States},

  year         = {2019},

  month        = {11}

}

Copy to clipboard

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DOI: 10.1103/PhysRevD.100.094027

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Title: Single-spin asymmetries at two loops

Abstract

Citation Formats

Fragmentation of transversely polarized quarks probed in transverse momentum distributions journal, May 1993

Single transverse-spin asymmetries in hadronic pion production journal, November 1998

Transverse single spin asymmetries at small x and the anomalous magnetic moment journal, April 2014

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

Λ 0 Hyperon Polarization in Inclusive Production by 300-GeV Protons on Beryllium journal, May 1976

Operator constraints for twist-3 functions and Lorentz invariance properties of twist-3 observables journal, March 2016

Λ0 hyperon polarization in inclusive production by 24 GeV protons on platinum journal, July 1977

Transverse spin and higher twist in QCD journal, January 1986

Single spin asymmetry in forward p A collisions. II. Fragmentation contribution journal, January 2017

Transverse Quark Polarization in Large- p T Reactions, e + e − Jets, and Leptoproduction: A Test of Quantum Chromodynamics journal, December 1978

Partonic description of the transverse target single-spin asymmetry in inclusive deep-inelastic scattering journal, February 2013

k T factorization of exclusive processes journal, February 2003

Computing the gluon Sivers function at small-x journal, March 2019

Partonic state and single transverse spin asymmetry in Drell-Yan process journal, November 2008

Transverse single-spin asymmetry and cross section for π 0 and η mesons at large Feynman x in p ↑ + p collisions at s = 200 GeV journal, September 2012

Double-spin asymmetry A L T in open charm production journal, July 2013

Single-Spin Asymmetries in Inclusive Charged Pion Production by Transversely Polarized Antiprotons journal, September 1996

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

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

Fragmentation contribution to the transverse single-spin asymmetry in proton–proton collisions journal, June 2013

Hard-scattering scaling laws for single-spin production asymmetries journal, January 1991

Partonic Pole Matrix Elements for Fragmentation journal, May 2009

Single-spin production asymmetries from the hard scattering of pointlike constituents journal, January 1990

New approach to the Sivers effect in the collinear twist-3 formalism journal, September 2019

Polarization of Λ ' s and Λ ¯ ' s in pp , p ¯ p , and K − p Interactions at 176 GeV/ c journal, May 1986

Partonic state and single transverse spin asymmetries in semi-inclusive DIS journal, June 2009

Final-state interactions and single-spin asymmetries in semi-inclusive deep inelastic scattering journal, March 2002

Analyzing power in inclusive π+ and π− production at high xF with a 200 GeV polarized proton beam journal, August 1991

Single transverse spin asymmetries journal, October 1991

One-loop corrections of single spin asymmetries in semi-inclusive DIS journal, March 2018

Towards an explanation of transverse single-spin asymmetries in proton-proton collisions: The role of fragmentation in collinear factorization journal, June 2014

New pole contribution to P h ⊥ -weighted single-transverse spin asymmetry in semi-inclusive deep inelastic scattering journal, March 2016

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

Single spin asymmetries in ultraperipheral p ↑ A collisions journal, November 2018

Transverse target spin asymmetry in inclusive DIS with two-photon exchange journal, January 2008

Phenomenological constraints on A N in p ↑ p → π X from Lorentz invariance relations journal, July 2017

Transverse single spin asymmetries in inclusive deep-inelastic scattering journal, December 2006

Single transverse spin asymmetry for large- pion production in semi-inclusive deep inelastic scattering journal, September 2006

Measurement of transverse-single-spin asymmetries for midrapidity and forward-rapidity production of hadrons in polarized p + p collisions at s = 200 and 62.4 GeV journal, July 2014

Single spin asymmetry in inclusive pion production, Collins effect and the string model journal, February 1997

Next-to-leading order calculation of the single transverse spin asymmetry in the Drell-Yan process journal, May 2009

Comparison of spin asymmetries and cross sections in π0 production by 200 GeV polarized antiprotons and protons journal, May 1991

Single spin asymmetry for p↑p → πX in perturbative QCD journal, November 1995

Corrigendum to “Fragmentation contribution to the transverse single-spin asymmetry in proton–proton collisions” [Phys. Lett. B 723 (4–5) (2013) 365–370] journal, November 2016

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

Contribution of the twist-3 fragmentation function to the single transverse-spin asymmetry in semi-inclusive deep inelastic scattering journal, October 2013

Extraction of V ub from the Decay B → π l ν journal, May 1995

Twist-three fragmentation function contribution to the single spin asymmetry in pp collisions journal, August 2010

Measuring transversity densities in singly polarized hadron-hadron and lepton-hadron collisions journal, June 1994

Single spin asymmetries in forward p − p / A collisions revisited: The role of color entanglement journal, August 2017

Twist-4 contributions to the azimuthal asymmetry in semi-inclusive deeply inelastic scattering journal, March 2011

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Transverse momentum-weighted Sivers asymmetry in semi-inclusive deep inelastic scattering at next-to-leading order journal, February 2013

Twist-3 formalism for single transverse spin asymmetry reexamined: Semi-inclusive deep inelastic scattering journal, February 2007

Evolution of twist-3 multiparton correlation functions relevant to single transverse-spin asymmetry journal, January 2009

Observation concerning the process dependence of the Sivers functions journal, May 2011

QCD asymmetry and polarized hadron structure function measurement journal, January 1985

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

Final-State Interactions and Single-Spin Asymmetries in Semi-Inclusive deep Inelastic Scattering journal, March 2003

Fragmentation of transversely polarized quarks probed in transverse momentum distributions
journal, May 1993

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Transverse single spin asymmetries at small $x$ and the anomalous magnetic moment
journal, April 2014

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

$Λ^{0}$ Hyperon Polarization in Inclusive Production by 300-GeV Protons on Beryllium
journal, May 1976

Operator constraints for twist-3 functions and Lorentz invariance properties of twist-3 observables
journal, March 2016

Λ0 hyperon polarization in inclusive production by 24 GeV protons on platinum
journal, July 1977

Transverse spin and higher twist in QCD
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Partonic description of the transverse target single-spin asymmetry in inclusive deep-inelastic scattering
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Computing the gluon Sivers function at small-x
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Transverse single-spin asymmetry and cross section for $π^{0}$ and $η$ mesons at large Feynman $x$ in $p^{↑} + p$ collisions at $\sqrt{s} = 200 GeV$
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Partonic Pole Matrix Elements for Fragmentation
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Single-spin production asymmetries from the hard scattering of pointlike constituents
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New approach to the Sivers effect in the collinear twist-3 formalism
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Partonic state and single transverse spin asymmetries in semi-inclusive DIS
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Final-state interactions and single-spin asymmetries in semi-inclusive deep inelastic scattering
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Analyzing power in inclusive π+ and π− production at high xF with a 200 GeV polarized proton beam
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Single transverse spin asymmetries
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Transverse single spin asymmetries in inclusive deep-inelastic scattering
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Single transverse spin asymmetry for large- pion production in semi-inclusive deep inelastic scattering
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Measurement of transverse-single-spin asymmetries for midrapidity and forward-rapidity production of hadrons in polarized $p + p$ collisions at $\sqrt{s} = 200$ and 62.4 GeV
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Single spin asymmetry in inclusive pion production, Collins effect and the string model
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Next-to-leading order calculation of the single transverse spin asymmetry in the Drell-Yan process
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Comparison of spin asymmetries and cross sections in π0 production by 200 GeV polarized antiprotons and protons
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Single spin asymmetry for p↑p → πX in perturbative QCD
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Sum rules for spin-dependent electroproduction- test of relativistic constituent quarks
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Contribution of the twist-3 fragmentation function to the single transverse-spin asymmetry in semi-inclusive deep inelastic scattering
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Extraction of $V_{ub}$ from the Decay $B \to π l ν$
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Twist-three fragmentation function contribution to the single spin asymmetry in pp collisions
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Measuring transversity densities in singly polarized hadron-hadron and lepton-hadron collisions
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Single spin asymmetries in forward $p − p / A$ collisions revisited: The role of color entanglement
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Twist-4 contributions to the azimuthal asymmetry in semi-inclusive deeply inelastic scattering
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Single spin asymmetry in forward $p A$ collisions: Phenomenology at RHIC
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Transverse momentum-weighted Sivers asymmetry in semi-inclusive deep inelastic scattering at next-to-leading order
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Evolution of twist-3 multiparton correlation functions relevant to single transverse-spin asymmetry
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Observation concerning the process dependence of the Sivers functions
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Matches and mismatches in the descriptions of semi-inclusive processes at low and high transverse momentum
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Final-State Interactions and Single-Spin Asymmetries in Semi-Inclusive deep Inelastic Scattering
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