Angular dependences in inclusive two-hadron production at BELLE

Abstract

A collection of results is presented relevant for the analysis of azimuthal asymmetries in inclusive two-hadron production at BELLE. The aim of this overview is to provide theoretical ingredients necessary to extract the Collins effect fragmentation function. The latter arises within the Collins-Soper factorization formalism, which describes both the transverse momentum and Q^2 dependence of the cross section and its angular dependences at low and moderate transverse momentum. Since the Collins effect is not the only source of angular dependences, a discussion of various other effects is included. This concerns higher twist contributions, photon-Z-boson interference effects, radiative corrections, beam polarization and weak decays. Furthermore, different frames, transverse momentum weighting and ratios of asymmetries are discussed. These issues are all of relevance for the unambiguous measurement of the Collins effect.

37 pages, 7 eps figures; mostly modifications in sections IX and XI, minor changes also in sections III,VI,XV

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• The Physics of the B Factories
• TMD Parton Distribution and Fragmentation Functions with QCD Evolution
• Extraction of Quark Transversity Distribution and Collins Fragmentation Functions with QCD Evolution
• Parton Fragmentation Functions
• Update on transversity and Collins functions from SIDIS and e+ e- data
• The QCD Evolution of the Sivers Function
• Understanding the large-distance behavior of transverse-momentum-dependent parton densities and the Collins-Soper evolution kernel
• TMD Evolution: Matching SIDIS to Drell-Yan and W/Z Boson Production
• Measurement of Collins asymmetries in inclusive production of charged pion pairs in e^+e^- annihilation at BABAR
• First glances at the transversity parton distribution through dihadron fragmentation functions
• Energy Evolution for the Sivers Asymmetries in Hard Processes
• Semi-inclusive Deep Inelastic Scattering at small x
• Measurement of azimuthal asymmetries in inclusive charged dipion production in $e^{+}{e}^{-}$ annihilations at $\sqrt{s}$ = 3.65 GeV
• Limits on TMD Evolution From Semi-Inclusive Deep Inelastic Scattering at Moderate $Q$
• An Overview of Transverse Momentum Dependent Factorization and Evolution
• TMD evolution and the Higgs transverse momentum distribution
• Polarized hadron pair production from electron-positron annihilation
• Asymmetries involving dihadron fragmentation functions: from DIS to e+e- annihilation
• Updated QCD global analysis of single transverse-spin asymmetries I: Extracting $\tilde{H}$, and the role of the Soffer bound and lattice QCD
• Extracting the transversity distributions from single-hadron and dihadron production
• Azimuthal asymmetries in unpolarized SIDIS and Drell-Yan processes: a case study towards TMD factorization at subleading twist
• Collins asymmetries in inclusive charged $KK$ and $K\pi$ pairs produced in $e^{+}{e}^{-}$ annihilation
• Tensor polarization dependent fragmentation functions and e+e-\to V πX at high energies
• Transverse Spin Structure of the Nucleon
• Phenomenology of transverse spin: past, present and future
• TMD evolution of the Sivers asymmetry
• Higher twist contribution to fragmentation function in inclusive hadron production in e^+e^- annihilation
• Momentum sum rules for fragmentation functions
• Transverse momentum spectrum of dilepton pair in the unpolarized ${\pi }^{-}N$ Drell-Yan process within TMD factorization
• Probing Transverse Momentum Dependent Structures with Azimuthal Dependence of Energy Correlators
• Semi-inclusive production of two back-to-back hadron pairs in $e^{+}{e}^{-}$ annihilation revisited
• Invariant-mass and fractional-energy dependence of inclusive production of di-hadrons in $e^{+}{e}^{-}$ annihilation at $\sqrt{s}=$ 10.58 GeV
• Quark fragmentation in the $\theta$-vacuum
• Energy dependence of hadron polarization in $e^{+}{e}^{-}\to hX$ at high energies
• Quark-gluon correlation functions relevant to single transverse spin asymmetries
• Azimuthal asymmetries of back-to-back ${\pi }^{\pm }-({\pi }^0,\eta ,{\pi }^{\pm })$ pairs in $e^{+}{e}^{-}$ annihilation
• Longitudinal and transverse polarizations of $\Lambda$ hyperon in unpolarized SIDIS and $e^{+}{e}^{-}$ annihilation
• The Spin Alignment of Vector Mesons in High Energy pp Collisions
• Combining nonperturbative transverse momentum dependence with TMD evolution
• Twist-4 contributions to semi-inclusive $e^{+}{e}^{-}$-annihilation process
• Several Topics on Transverse Momentum-Dependent Fragmentation Functions
• The transverse polarization of $\Lambda$ hyperons in $e^{+}{e}^{-}\to {\Lambda }^{\uparrow }hX$ processes within TMD factorization
• Dihadron Azimuthal Correlation from Collins Effect in Unpolarized Hadron Collisions
• Semi-inclusive back-to-back production of a hadron pair and a single hadron in $e^{+}{e}^{-}$ annihilation
• Different approaches to TMD Evolution with scale
• Collinear Factorization in Wide-Angle Hadron Pair Production in $e^{+}{e}^{-}$ Annihilation
• Inclusive and semi-inclusive production of spin-3/2 hadrons in $e^{+}{e}^{-}$ annihilation
• Polarized TMD fragmentation functions for $J/\psi$ production
• The $\sin (2\varphi -{\varphi }_S)$ azimuthal asymmetry in the pion induced Drell-Yan process within TMD factorization
• Factorization and transverse momentum for two-hadron production in inclusive $e^{+}{e}^{-}$ annihilation
• Spin Orbit Correlations and the Structure of the Nucleon
• $\sin ({\varphi }_{\Lambda }-{\varphi }_S)$ azimuthal asymmetry in transversely polarized $\Lambda$ production in SIDIS within TMD factorization at EIC
• Double Collins effect in $e^{+}{e}^{-}\to \Lambda \bar{\Lambda }X$ process in a diquark spectator model
• The Collins asymmetry in electroproduction of Kaon at the electron ion colliders within TMD factorization
• The $\sin 2{\varphi }_h$ azimuthal asymmetry of pion production in SIDIS within TMD factorization
• Transversity Asymmetries
• Polarized vector meson production in semi-inclusive DIS
• Overview of TMD evolution
• Aspects of TMD evolution of azimuthal asymmetries
• $\pi -N$ Drell-Yan process in TMD factorization
• Dihadron Angular Correlations in the $e^{+}{e}^{-}$ Collision
• Semi-inclusive processes at low and high transverse momentum