Gluonic Transversity from Lattice QCD

Abstract

We present an exploratory study of the gluonic structure of the $\varphi$ meson using lattice QCD (LQCD). This includes the first investigation of gluonic transversity via the leading moment of the twist-two double-helicity-flip gluonic structure function $\Delta (x,Q^2)$. This structure function only exists for targets of spin $J\ge 1$ and does not mix with quark distributions at leading twist, thereby providing a particularly clean probe of gluonic degrees of freedom. We also explore the gluonic analogue of the Soffer bound which relates the helicity flip and non-flip gluonic distributions, finding it to be saturated at the level of 80%. This work sets the stage for more complex LQCD studies of gluonic structure in the nucleon and in light nuclei where $\Delta (x,Q^2)$ is an 'exotic glue' observable probing gluons in a nucleus not associated with individual nucleons.

References in corpus (3)

• Gluon and Wilson loop TMDs for hadrons of spin $\le$ 1
• Two Nucleon Systems at $m_{\pi }\sim 450\mathrm{MeV}$ from Lattice QCD
• Spin observables and spin structure functions: inequalities and dynamics

Cited by in corpus (9)

• Gluon gravitational structure of hadrons of different spin
• Covariant multipole expansion of local currents for massive states of any spin
• Form factors of two-hadron states from a covariant finite-volume formalism
• Nonperturbatively-renormalized glue momentum fraction at physical pion mass from Lattice QCD
• Gluon transversity in polarized proton-deuteron Drell-Yan process
• Deuteron polarizations in the proton-deuteron Drell-Yan process for finding the gluon transversity
• Off-forward gluonic structure of vector mesons
• Equation-of-motion and Lorentz-invariance relations for tensor-polarized parton distribution functions of spin-1 hadrons
• Parton distribution functions and fragmentation functions of spin-1 hadrons