General Helicity Formalism for Polarized Semi-Inclusive Deep Inelastic Scattering

Abstract

We study polarized Semi-Inclusive Deep Inelastic Scattering (SIDIS) processes, within the QCD parton model and a factorization scheme, taking into account all transverse motions, of partons inside the initial proton and of hadrons inside the fragmenting partons. We use the helicity formalism. The elementary interactions are computed at LO with non collinear exact kinematics, which introduces phases in the expressions of their helicity amplitudes. Several Transverse Momentum Dependent (TMD) distribution and fragmentation functions appear and contribute to the cross sections and to spin asymmetries. Our results agree with those obtained with different formalisms, showing the consistency of our approach. The full expression for single and double spin asymmetries is derived. Simplified, explicit analytical expressions, convenient for phenomenological studies, are obtained assuming a factorized Gaussian dependence on intrinsic momenta for the TMDs.

29 pages, 2 figures

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Cited by in corpus (40)

• Extraction of Quark Transversity Distribution and Collins Fragmentation Functions with QCD Evolution
• Experimental investigation of transverse spin asymmetries in muon-p SIDIS processes: Sivers asymmetries
• A strategy towards the extraction of the Sivers function with TMD evolution
• Collins functions for pions from SIDIS and new e+e- data: a first glance at their transverse momentum dependence
• Probing the gluon Sivers function in $p^{\uparrow }p\to J/\psi X$ and $p^{\uparrow }p\to DX$
• Semi-Inclusive Deep Inelastic Scattering in Wandzura-Wilczek-type approximation
• Extracting the Transverse Momentum Dependent Polarizing Fragmentation Functions
• Transverse spin effects in hard semi-inclusive collisions
• Modelling the nucleon structure
• Transverse structure of proton in a light-front quark-diquark model
• Extraction of the distribution function $h_{1T}^{\perp }$ from experimental data
• Assessing signals of TMD physics in SIDIS azimuthal asymmetries and in the extraction of the Sivers function
• Phenomenology of transverse spin: past, present and future
• Transverse structure of electron in momentum space in basis light-front quantization
• Partonic Transverse Motion in Unpolarized Semi-Inclusive Deep Inelastic Scattering Processes
• General helicity formalism for two-hadron production in $e^{+}{e}^{-}$ annihilation within a TMD approach
• Measurement of pretzelosity asymmetry of charged pion production in Semi-Inclusive Deep Inelastic Scattering on a polarized ${}^3$He target
• Sivers and $\cos 2\varphi$ Asymmetries in Semi-inclusive Deep Inelastic Scattering in Light-front Holographic Model
• Calculating Dihadron Fragmentation Functions in the NJL-jet model
• Probing the longitudinal spin transfer via dihadron polarization correlations in unpolarized $e^{+}{e}^{-}$ and $pp$ collisions
• Role of transverse momentum dependence of unpolarised parton distribution and fragmentation functions in the analysis of azimuthal spin asymmetries
• Collins and Sivers effects in p(transv. polarized) p --> jet pion X: Universality and process dependence
• Reweighting the Sivers function with jet data from STAR
• Dihadron Fragmentation Functions from the NJL-jet model and their QCD Evolution
• Sivers and Boer-Mulders TMDs of proton in a light-front quark-diquark model
• Probing the Gluon Sivers Function through direct photon production at RHIC
• Model predictions for azimuthal spin asymmetries for HERMES and COMPASS kinematics
• Dihadron helicity correlation in photon-nucleus collisions
• Tests of the extraction of the Sivers, Boer-Mulders and transversity distributions in SIDIS reactions
• The difference cross sections of unpolarized SIDIS with transverse momentum dependence
• Phenomenology of TMDs
• On the extraction of the valence transversity distributions from SIDIS data
• Polarized and unpolarized Drell-Yan angular distribution in the helicity formalism
• New study of the Boer-Mulders function: Implications for the quark and hadron transverse momenta
• Consistency tests for the extraction of the Boer-Mulders and Sivers functions
• Parity Violating Deep Inelastic Electron-Deuteron Scattering: Higher Twist and Parton Angular Momentum
• Tests for Sivers, Boer-Mulders and transversity distributions in difference cross sections in SIDIS
• Parton model description of quark and antiquark correlators and TMDs
• Quark-model relations among TMDs in the parton model
• Phenomenology of Sivers Effect with TMD Evolution