Semi-inclusive back-to-back production of a hadron pair and a single hadron in $e^{+}{e}^{-}$ annihilation

Abstract

Inclusive hadron production in $e^{+}{e}^{-}$ annihilation has long been used to study both single hadron fragmentation functions (FF) and dihadron fragmentation functions (DiFF). In particular, the polarized DiFFs can be accessed in electron-positron annihilation by measuring azimuthal correlations between two back-to-back pairs of hadrons in the center of mass system, where the relevant structure functions can be expressed as convolutions of two (polarized) DiFFs. Here we explore the advantages of measuring the inclusive back-to-back production of a single hadron on one side against a hadron pair on the opposite side of the detector in two jet events. The leading twist cross section for this process contains convolutions of the corresponding single hadron FFs on one side and the DiFFs for the hadron pair on the other side, which furnishes several interesting new opportunities. A measurement of the unpolarized cross section with a number of different types of observed hadrons will help in untangling the quark flavor dependence of the unpolarized DiFFs, when the results are analyzed together with the inclusive measurements of dihadron pairs, such as those recently performed by the $\text{BELLE}$ collaboration. Even more interesting, with a polarized hyperon on one side we can study the quark spin-dependent DiFFs of an unpolarized hadron pair on the other side. This, in turn, will allow us to test the universality of the spin-dependent DiFFs entering the cross sections of electron-positron annihilation and semi-inclusive deep inelastic scattering processes.

21 pages, 1 figure. V2: Updated to version published in JHEP with minor revisions of the text, corrected typos and an additional reference

References in corpus (16)

• Parton-to-Pion Fragmentation Reloaded
• Parton Fragmentation Functions
• A determination of the fragmentation functions of pions, kaons, and protons with faithful uncertainties
• Measurement of Azimuthal Asymmetries in Inclusive Production of Hadron Pairs in e+e- Annihilation at \sqrt{s} = 10.58 GeV
• Angular dependences in inclusive two-hadron production at BELLE
• Evidence for a Transverse Single-Spin Asymmetry in Leptoproduction of pi+pi- Pairs
• Partonic Pole Matrix Elements for Fragmentation
• First Monte Carlo analysis of fragmentation functions from single-inclusive $e^{+}{e}^{-}$ annihilation
• The NJL-jet model for quark fragmentation functions
• A model independent analysis of gluonic pole matrix elements and universality of TMD fragmentation functions
• Semi-inclusive production of two back-to-back hadron pairs in $e^{+}{e}^{-}$ annihilation revisited
• Longitudinal Polarization of Lambda and anti-Lambda Hyperons in Lepton-Nucleon Deep-Inelastic Scattering
• Invariant-mass and fractional-energy dependence of inclusive production of di-hadrons in $e^{+}{e}^{-}$ annihilation at $\sqrt{s}=$ 10.58 GeV
• Accessing Quark Helicity through Dihadron Studies
• Monte Carlo Implementation of Polarized Hadronization
• Test of the Universality of Naive-time-reversal-odd Fragmentation Functions

Cited by in corpus (4)

• Observation of Transverse $\Lambda /\bar{\Lambda }$ Hyperon Polarization in $e^{+}{e}^{-}$ Annihilation at Belle
• Several Topics on Transverse Momentum-Dependent Fragmentation Functions
• Dihadron fragmentation framework for near-side energy-energy correlators
• Transverse spin polarization as a novel probe of medium-induced transverse-momentum-broadening effect