Strange quark helicity in the proton from chiral effective theory

Abstract

We compute the helicity-dependent strange quark distribution in the proton in the framework of chiral effective theory. Starting from the most general chiral SU(3) Lagrangian that respects Lorentz and gauge invariance, we derive the complete set of hadronic splitting functions at the one meson loop level, including the octet and decuplet rainbow, tadpole, Kroll-Ruderman and octet-decuplet transition configurations. By matching hadronic and quark level operators, we obtain generalized convolution formulas for the quark distributions in the proton in terms of hadronic splitting functions and quark distributions in the hadronic configurations, and from these derive model-independent relations for the leading nonanalytic behavior of their moments. Within the limits of parameters of the Pauli-Villars regulators derived from inclusive hyperon production, we find that the polarized strange quark distribution is rather small and mostly negative.

arXiv comment43 pages, 4 figures, 1 table

References in corpus (79)

• Parton distributions from high-precision collider data
• The Spin Structure of the Nucleon
• Measurements of the Proton and Deuteron Spin Structure Functions g1 and g2
• Extraction of Spin-Dependent Parton Densities and Their Uncertainties
• Precise determination of the spin structure function ${\mathbf{g}}_1$ of the proton, deuteron and neutron
• A first unbiased global determination of polarized PDFs and their uncertainties
• Precision Determination of the Neutron Spin Structure Function g1n
• Evidence for polarization of gluons in the proton
• Constraints on large-$x$ parton distributions from new weak boson production and deep-inelastic scattering data
• Measurement of the Neutron Spin Structure Function $g_1^n$ with a Polarized ^3He Target
• Chiral Perturbation Theory and Baryon Properties
• The Deuteron Spin-dependent Structure Function g1d and its First Moment
• Deep Inelastic Scattering of Polarized Electrons by Polarized ${}^3$He and the Study of the Neutron Spin Structure
• Measurements of the $Q^2$-Dependence of the Proton and Neutron Spin Structure Functions g1p and g1n
• Parton distributions and lattice QCD calculations: a community white paper
• First simultaneous extraction of spin-dependent parton distributions and fragmentation functions from a global QCD analysis
• Measurement of the Deuteron Spin Structure Function g_1^d(x) for 1 (GeV/c)^2 < Q^2 < 40 (GeV/c)^2
• Precision Measurement of the Neutron Spin Asymmetries and Spin-dependent Structure Functions in the Valence Quark Region
• Determination of Polarized PDFs from a QCD Analysis of Inclusive and Semi-inclusive Deep Inelastic Scattering Data
• The Spin-dependent Structure Function of the Proton g_1^p and a Test of the Bjorken Sum Rule
• Precision Measurement of the Proton and Deuteron Spin Structure Functions g2 and Asymmetries A2
• Flavour and Spin of the Proton and the Meson Cloud
• QCD Analysis of the Polarized World Data
• QCD Analysis of Polarized Deep Inelastic Scattering Data
• Chiral extrapolation of lattice moments of proton quark distributions
• Iterative Monte Carlo analysis of spin-dependent parton distributions
• Quenched Chiral Perturbation Theory for Baryons
• Complete flavor decomposition of the spin and momentum fraction of the proton using lattice QCD simulations at physical pion mass
• SU(3) Baryon Chiral Perturbation Theory and Long Distance Regularization
• The nucleon spin and momentum decomposition using lattice QCD simulations
• Measurement of the $x$- and $Q^2$-Dependence of the Asymmetry $A_1$ on the Nucleon
• Baryon Masses from Lattice QCD: Beyond the Perturbative Chiral Regime
• Precision Measurement of the Neutron Spin Asymmetry $A_1^n$ and Spin-Flavor Decomposition in the Valence Quark Region
• Interplay of Spin and Orbital Angular Momentum in the Proton
• Measurement of the Proton and Deuteron Spin Structure Functions g2 and Asymmetry A2
• Strange quark suppression from a simultaneous Monte Carlo analysis of parton distributions and fragmentation functions
• Pion and sigma meson properties in a relativistic quark model
• Systematic uncertainties in parton distribution functions from lattice QCD simulations at the physical point
• Chiral Corrections to Matrix Elements of Twist-2 Operators
• Perturbative generation of a strange-quark asymmetry in the nucleon
• Including the $\Delta (1232)$ resonance in baryon chiral perturbation theory
• Strange quark contributions to nucleon mass and spin from lattice QCD
• Dynamical Symmetry Breaking in the Sea of the Nucleon
• Determination of gluon polarization from deep inelastic scattering and collider data
• Parton Distribution Functions from Ioffe time pseudo-distributions
• Measurement of longitudinal spin asymmetries for weak boson production in polarized proton-proton collisions at RHIC
• First Monte Carlo analysis of fragmentation functions from single-inclusive $e^{+}{e}^{-}$ annihilation
• Resolution of the Proton Spin Problem
• The nucleon's octet axial-charge g_A^8 with chiral corrections
• Longitudinal double-spin asymmetry for inclusive jet and dijet production in $pp$ collisions at $\sqrt{s}=510$ GeV
• Quark contribution to the proton spin from 2+1+1-flavor lattice QCD
• Determination of the Proton Spin Structure Functions for 0.05 < Q^2 < 5 GeV^2 using CLAS
• Strangeness in the Nucleon on the Light-Cone
• Moments of the Spin Structure Functions g_1^p and g_1^d for 0.05 < Q^2 < 3.0 GeV^2
• Constructing Parton Convolution in Effective Field Theory
• New analysis concerning the strange quark polarization puzzle
• Precision measurements of $g_1$ of the proton and the deuteron with 6 GeV electrons
• Measurement of the virtual-photon asymmetry A2 and the spin-structure function g2 of the proton
• Chiral Extrapolation of Hadronic Observables
• $\bar{d}-\bar{u}$ asymmetry in the proton in chiral effective theory
• Precise Determination of the Deuteron Spin Structure at Low to Moderate $Q^2$ with CLAS and Extraction of the Neutron Contribution
• A Possible Resolution of the Strange Quark Polarization Puzzle ?
• Nucleon spin structure functions at NNLO in the presence of target mass corrections and higher twist effects
• Measurement of parity-violating spin asymmetries in W${}^{\pm }$ production at midrapidity in longitudinally polarized $p$$+$$p$ collisions
• Strange Asymmetries in the Nucleon Sea
• Precision Measurements of $A_1^n$ in the Deep Inelastic Regime
• Strange quark asymmetry in the proton in chiral effective theory
• Non-perturbative structure of the polarized nucleon sea
• Strange and Charm Quark Spins from Anomalous Ward Identity
• Revealing Color Forces with Transverse Polarized Electron Scattering
• Parton distributions from nonlocal chiral SU(3) effective theory. I. Splitting functions
• The Role of Nucleon Strangeness in Supernova Explosions
• A Precision Measurement of the Neutron Twist-3 Matrix Element $d_2^n$: Probing Color Forces
• Constraints on $s-\bar{s}$ asymmetry of the proton in chiral effective theory
• Parton distributions from nonlocal chiral SU(3) effective theory: Flavor asymmetries
• A Mathematica interface to NNPDFs
• The Spin Budget of the Proton at NNLO and Beyond
• Moments of the neutron $g_2$ structure function at intermediate $Q^2$
• Chiral expansion of moments of quark distributions

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• Helicity-dependent distribution of strange quarks in the proton from nonlocal chiral effective theory