Studies of Azimuthal Modulations in Two Hadron Fragmentation of a Transversely Polarised Quark

Abstract

We study the azimuthal modulations of dihadron fragmentation functions (DiFFs) of a transversely polarised quark using an NJL-jet based model that incorporates the Collins effect for single hadron emission. The DiFFs are extracted as Monte Carlo (MC) averages of corresponding multiplicities using their probabilistic interpretation. To simplify the model and highlight the possible mechanisms that create this modulation, we choose the elementary Collins function to be proportional to the elementary unpolarised fragmentation and a constant probability ($P_{SF}$) for the quark to flip its spin after a single hadron emission. Moreover, as a leading order calculation, only one of the produced hadrons in the decay chain of the quark is produced with elementary Collins modulation. We calculate the dependence of the polarised DiFFs on various angles such as the azimuthal angle of the single hadron and the angle of the two hadron production plane ${\phi }_R$ for several values of $P_{SF}$. We observe that the polarised DiFFs for oppositely charged pion pairs exhibit a $\sin ({\phi }_R)$ modulation. This effect is induced purely via the elementary Collins effect and persists even when the quark completely depolarises after a single hadron emission ($P_{SF}=0.5$). Moreover, similar sine modulations are present in the distribution of pion pairs with respect to the azimuthal angle of their total transverse momentum, ${\phi }_T$.

10 pages, 12 figures - small updates and added references, to comply with the version to be published in PLB

References in corpus (11)

• Measurement of Azimuthal Asymmetries in Inclusive Production of Hadron Pairs in e+e- Annihilation at \sqrt{s} = 10.58 GeV
• Evidence for a Transverse Single-Spin Asymmetry in Leptoproduction of pi+pi- Pairs
• A high-statistics measurement of transverse spin effects in dihadron production from muon-proton semi-inclusive deep-inelastic scattering
• Modeling dihadron fragmentation functions
• Asymmetries involving dihadron fragmentation functions: from DIS to e+e- annihilation
• Calculating Kaon Fragmentation Functions from NJL-Jet Model
• Monte Carlo Simulations of Hadronic Fragmentation Functions using NJL-Jet Model
• Dihadron fragmentation functions for large invariant mass
• Collins Fragmentation Function within NJL-jet Model
• Effects of Quark Spin Flip on the Collins Fragmentation Function in a Toy Model
• Transverse spin and transverse momentum structure of the nucleon from the COMPASS experiment

Cited by in corpus (17)

• Parton Fragmentation Functions
• A high-statistics measurement of transverse spin effects in dihadron production from muon-proton semi-inclusive deep-inelastic scattering
• Transverse spin-dependent azimuthal correlations of charged pion pairs measured in p${}^{\uparrow }$+p collisions at $\sqrt{s}$ = 500 GeV
• Dihadron fragmentation functions in the quark-jet model: Longitudinally polarized quarks
• Di-hadron fragmentation and mapping of the nucleon structure
• Dihadron fragmentation functions in the quark-jet model: Transversely polarized quarks
• Interplay among transversity induced asymmetries in hadron leptoproduction
• Quark-Jet model for transverse momentum dependent fragmentation functions
• Single-spin asymmetry in dihadron production in SIDIS off the longitudinally polarized nucleon target
• Monte Carlo Implementation of Polarized Hadronization
• Semi-inclusive back-to-back production of a hadron pair and a single hadron in $e^{+}{e}^{-}$ annihilation
• Double spin asymmetry in dihadron production in SIDIS off the longitudinally polarized nucleon target
• Studies of Transverse Momentum Dependent Parton Distributions and Bessel Weighting
• Single spin asymmetry $A_{UL}^{\sin ({\varphi }_h-{\varphi }_R)}$ in dihadron semi-inclusive DIS
• Azimuthal Correlations in the Structure Functions of polarized Dihadron Semi-Inclusive Deep Inelastic Scattering
• Single spin asymmetry $A_{UL}^{\sin (2{\varphi }_h-2{\varphi }_R)}$ in dihadron semi-inclusive DIS
• Work on the interplay among $h^{+}$, $h^{-}$ and hadron pair transverse spin asymmetries in SIDIS