$\sin ({\varphi }_{\Lambda }-{\varphi }_S)$ azimuthal asymmetry in transversely polarized $\Lambda$ production in SIDIS within TMD factorization at EIC

Abstract

We investigate the $\sin ({\varphi }_{\Lambda }-{\varphi }_S)$ single-spin asymmetry in the transversely polarized $\Lambda$ production in semi-inclusive deeply inelastic scattering process within the framework of the transverse momentum dependent~(TMD) factorization. The asymmetry is contributed by the convolution of the polarizing TMD fragmentation function $D_{1T}^{\perp }$ of the $\Lambda$ hyperon and the unpolarized TMD distribution function $f_1$ of the target nucleon. We apply two sets of $D_{1T}^{\perp ,{\Lambda }^{\uparrow }/q}$, the spectator diquark model result and available parametrization, to numerically estimate the $\sin ({\varphi }_{\Lambda }-{\varphi }_S)$ asymmetry at the kinematical region of electron ion collider (EIC). We take into account the TMD evolution effect in order to include the scale dependence of the TMD distribution functions and fragmentation functions. It is found that different sets of $D_{1T}^{\perp ,{\Lambda }^{\uparrow }/q}$ lead to different $\sin ({\varphi }_{\Lambda }-{\varphi }_S)$ asymmetry, particularly in sign. Future measurements on the $\sin ({\varphi }_{\Lambda }-{\varphi }_S)$ asymmetry with high precision at EIC can provide important cross check on the available $\Lambda$ polarizing fragmentation functions as well as constrain them more stringently.

arXiv comment11 pages, 2 figures. arXiv admin note: text overlap with arXiv:2009.07193

References in corpus (65)

• New parton distributions for collider physics
• The complete tree-level result up to order $1/Q$ for polarized deep-inelastic leptoproduction
• QCD Factorization for Semi-Inclusive Deep-Inelastic Scattering at Low Transverse Momentum
• Single-spin asymmetries in semi-inclusive deep-inelastic scattering on a transversely polarized hydrogen target
• Transverse Polarisation of Quarks in Hadrons
• Tevatron Run-1 Z Boson Data and Collins-Soper-Sterman Resummation Formalism
• TMD Parton Distribution and Fragmentation Functions with QCD Evolution
• QCD Factorization for Spin-Dependent Cross Sections in DIS and Drell-Yan Processes at Low Transverse Momentum
• QCDNUM: Fast QCD Evolution and Convolution
• AKK Update: Improvements from New Theoretical Input and Experimental Data
• Investigating the origins of transverse spin asymmetries at RHIC
• The role of Cahn and Sivers effects in Deep Inelastic Scattering
• Extraction of partonic transverse momentum distributions from semi-inclusive deep-inelastic scattering, Drell-Yan and Z-boson production
• Extraction of Quark Transversity Distribution and Collins Fragmentation Functions with QCD Evolution
• QCD Analysis of Unpolarized and Polarized Lambda - Baryon Production in Leading and Next-to-Leading Order
• Soft and Collinear Factorization and Transverse Momentum Dependent Parton Distribution Functions
• QCD Evolution of the Sivers Asymmetry
• The QCD Evolution of the Sivers Function
• Asymmetries in polarized hadron production in e^+e^- annihilation up to order 1/Q
• Transverse-Spin and Transverse-Momentum Effects in High-Energy Processes
• Universality of the Collins-Soper-Sterman nonperturbative function in gauge boson production
• Dilepton production from polarized hadron hadron collisions
• Model Independent Evolution of Transverse Momentum Dependent Distribution Functions (TMDs) at NNLL
• Understanding the large-distance behavior of transverse-momentum-dependent parton densities and the Collins-Soper evolution kernel
• Sivers effect in semi-inclusive deeply inelastic scattering
• Role of the nonperturbative input in QCD resummed Drell-Yan $Q_T$-distributions
• A Unified Treatment of the QCD Evolution of All (Un-)Polarized TMD Functions: Collins Function as a Study Case
• Intrinsic transverse parton momenta in deeply inelastic reactions
• Asymmetry of Lambda Baryons in Hadronic Z^0 Decays
• Collins Fragmentation and the Single Transverse Spin Asymmetry
• A strategy towards the extraction of the Sivers function with TMD evolution
• Relating Transverse Momentum Dependent and Collinear Factorization Theorems in a Generalized Formalism
• Polarized $q\to \Lambda$ Fragmentation Functions from $e^{+}{e}^{-}\to \Lambda +X^{\ast }$
• Infrared divergences and non-lightlike eikonal lines in Sudakov processes
• Polarized Lambdas in the Current Fragmentation Region
• QCD prediction for heavy boson transverse momentum distributions
• Angular dependences in inclusive two-hadron production at BELLE
• Collins-Soper Equation for the Energy Evolution of Transverse-Momentum and Spin Dependent Parton Distributions
• Vector boson production in hadronic collisions
• Semi-Inclusive Hadron Production at HERA: the Effect of QCD Gluon Resummation
• QCD Resummation for Single Spin Asymmetries
• Lambda polarization from unpolarized quark fragmentation
• Equality of Two Definitions for Transverse Momentum Dependent Parton Distribution Functions
• Observation of Transverse $\Lambda /\bar{\Lambda }$ Hyperon Polarization in $e^{+}{e}^{-}$ Annihilation at Belle
• Limits on TMD Evolution From Semi-Inclusive Deep Inelastic Scattering at Moderate $Q$
• Polarized hadron pair production from electron-positron annihilation
• Extracting the Transverse Momentum Dependent Polarizing Fragmentation Functions
• Scheme dependence and Transverse Momentum Distribution interpretation of Collins-Soper-Sterman resummation
• Transverse Lambda polarization in semi-inclusive DIS
• QCD evolution of naive-time-reversal-odd fragmentation functions
• First extraction of the $\Lambda$ polarising fragmentation function from Belle $e^{+}{e}^{-}$ data
• Leading and higher twist contributions in semi-inclusive e+e- annihilation at high energies
• Helicity and Transversity Distribution of Nucleon and $\Lambda$-Hyperon from $\Lambda$ Fragmentation
• Polarized hyperon production in single-inclusive electron-positron annihilation at next-to-leading order
• Twist-3 fragmentation contribution to polarized hyperon production in unpolarized hadronic collisions
• Transverse momentum spectrum of dilepton pair in the unpolarized ${\pi }^{-}N$ Drell-Yan process within TMD factorization
• Isospin Symmetry of Fragmentation Functions
• Single-spin asymmetries in the leptoproduction of transversely polarized $\Lambda$ hyperons
• Photon structure studied at an Electron Ion Collider
• Transverse polarization of the $\Lambda$ hyperon from unpolarized quark fragmentation in the diquark model
• The Polarising Fragmentation Function and the Lambda polarisation in e+ e- processes
• The transverse polarization of $\Lambda$ hyperons in $e^{+}{e}^{-}\to {\Lambda }^{\uparrow }hX$ processes within TMD factorization
• Polarized Lambda hyperon production in Semi-inclusive deep inelastic scattering off an unpolarized nulceon target
• Sivers Asymmetry in the pion induced Drell-Yan process at COMPASS within TMD factorization
• The $\sin (2\varphi -{\varphi }_S)$ azimuthal asymmetry in the pion induced Drell-Yan process within TMD factorization

Cited by in corpus (3)

• Longitudinal and transverse polarizations of $\Lambda$ hyperon in unpolarized SIDIS and $e^{+}{e}^{-}$ annihilation
• Several Topics on Transverse Momentum-Dependent Fragmentation Functions
• Transverse spin polarization as a novel probe of medium-induced transverse-momentum-broadening effect