Extraction of Quark Transversity Distribution and Collins Fragmentation Functions with QCD Evolution

Abstract

We study the transverse momentum dependent (TMD) evolution of the Collins azimuthal asymmetries in $e^{+}{e}^{-}$ annihilations and semi-inclusive hadron production in deep inelastic scattering (SIDIS) processes. All the relevant coefficients are calculated up to the next-to-leading logarithmic (NLL) order accuracy. By applying the TMD evolution at the approximate NLL order in the Collins-Soper-Sterman (CSS) formalism, we extract transversity distributions for $u$ and $d$ quarks and Collins fragmentation functions from current experimental data by a global analysis of the Collins asymmetries in back-to-back di-hadron productions in $e^{+}{e}^{-}$ annihilations measured by BELLE and BABAR Collaborations and SIDIS data from HERMES, COMPASS, and JLab HALL A experiments. The impact of the evolution effects and the relevant theoretical uncertainties are discussed. We further discuss the TMD interpretation for our results, and illustrate the unpolarized quark distribution, transversity distribution, unpolarized quark fragmentation and Collins fragmentation functions depending on the transverse momentum and the hard momentum scale. We make detailed predictions for future experiments and discuss their impact.

45 pages, 31 figures

References in corpus (29)

• Parton distributions for the LHC
• New parton distributions for collider physics
• Global analysis of fragmentation functions for pions and kaons and their uncertainties
• Drell-Yan production at small q_T, transverse parton distributions and the collinear anomaly
• Extraction of Spin-Dependent Parton Densities and Their Uncertainties
• Evidence for polarization of gluons in the proton
• Sivers Effect for Pion and Kaon Production in Semi-Inclusive Deep Inelastic Scattering
• Parton-to-Pion Fragmentation Reloaded
• A Unified Picture for Single Transverse-Spin Asymmetries in Hard Processes
• Measurement of Azimuthal Asymmetries in Inclusive Production of Hadron Pairs in e+e- Annihilation at \sqrt{s} = 10.58 GeV
• Understanding the large-distance behavior of transverse-momentum-dependent parton densities and the Collins-Soper evolution kernel
• Nucleon isovector couplings from $N_f=2$ lattice QCD
• Single Transverse-Spin Asymmetry in Drell-Yan Production at Large and Moderate Transverse Momentum
• Towards an explanation of transverse single-spin asymmetries in proton-proton collisions: the role of fragmentation in collinear factorization
• Collins Fragmentation and the Single Transverse Spin Asymmetry
• Collins and Sivers asymmetries in muonproduction of pions and kaons off transversely polarised proton
• TMDlib and TMDplotter: library and plotting tools for transverse-momentum-dependent parton distributions
• Soft Factor Subtraction and Transverse Momentum Dependent Parton Distributions on Lattice
• Angular dependences in inclusive two-hadron production at BELLE
• Partonic Pole Matrix Elements for Fragmentation
• Beyond-Standard-Model Tensor Interaction and Hadron Phenomenology
• Nucleon tensor charges and electric dipole moments
• Spectral analysis of gluonic pole matrix elements for fragmentation
• Nucleon tensor charge from Collins azimuthal asymmetry measurements
• Scheme dependence and Transverse Momentum Distribution interpretation of Collins-Soper-Sterman resummation
• Drell-Yan processes, transversity and light-cone wavefunctions
• Resummation for Polarized Semi-Inclusive Deep-Inelastic Scattering at Small Transverse Momentum
• Comparative analysis of the transversities and the longitudinally polarized distribution functions of the nucleon
• QCD evolution of naive-time-reversal-odd fragmentation functions

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• FLAG Review 2019
• FLAG Review 2021
• Large-Momentum Effective Theory
• Nucleon Helicity and Transversity Parton Distributions from Lattice QCD
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• Probing exotic phenomena at the interface of nuclear and particle physics with the electric dipole moments of diamagnetic atoms: A unique window to hadronic and semi-leptonic CP violation
• Axial, Scalar and Tensor Charges of the Nucleon from 2+1+1-flavor Lattice QCD
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• Origin of single transverse-spin asymmetries in high-energy collisions
• Collins-Soper Kernel for TMD Evolution from Lattice QCD
• Nucleon axial, tensor and scalar charges and $\sigma$-terms in lattice QCD
• First Extraction of Transversity from a Global Analysis of Electron-Proton and Proton-Proton Data
• First Monte Carlo global analysis of nucleon transversity with lattice QCD constraints
• Nucleon charges with dynamical overlap fermions
• Quantum Interference in Jet Substructure from Spinning Gluons
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• Nucleon structure from basis light-front quantization
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• Collins azimuthal asymmetries of hadron production inside jets
• Measurement of azimuthal asymmetries in inclusive charged dipion production in $e^{+}{e}^{-}$ annihilations at $\sqrt{s}$ = 3.65 GeV
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• Transverse Parton Distribution and Fragmentation Functions at NNLO: the Gluon Case
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• Unveiling the nucleon tensor charge at Jefferson Lab: A study of the SoLID case
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• Azimuthal transverse single-spin asymmetries of inclusive jets and charged pions within jets from polarized-proton collisions at $\sqrt{s}=500$ GeV
• Lattice Calculation of the Intrinsic Soft Function and the Collins-Soper Kernel
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• Updated QCD global analysis of single transverse-spin asymmetries I: Extracting $\tilde{H}$, and the role of the Soffer bound and lattice QCD
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• Phenomenological constraints on $A_N$ in $p^{\uparrow }p\to \pi X$ from Lorentz invariance relations
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• Where do we stand with a 3-D picture of the proton?
• Exploring universality of transversity in proton-proton collisions
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• Tomography of pions and protons via transverse momentum dependent distributions
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• Role of transverse momentum dependence of unpolarised parton distribution and fragmentation functions in the analysis of azimuthal spin asymmetries
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• Efficient Fourier Transforms for Transverse Momentum Dependent Distributions
• Semi-inclusive back-to-back production of a hadron pair and a single hadron in $e^{+}{e}^{-}$ annihilation
• Transverse momentum dependent of charged pion, kaon and proton/antiproton fragmentation functions from $e^{+}{e}^{-}$ annihilation process
• QCD$\times$QED evolution of TMDs
• Sivers Asymmetry in the pion induced Drell-Yan process at COMPASS within TMD factorization
• Transverse Energy-Energy Correlators in the Color-Glass Condensate at the Electron-Ion Collider
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• Collinear Factorization in Wide-Angle Hadron Pair Production in $e^{+}{e}^{-}$ Annihilation
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