Abstract
In recent papers [1, 2], two new ways have been proposed to probe the linear polarization of gluons in unpolarized proton: using the azimuthal asymmetries and Callan-Gross ratio in heavy-quark pair leptoproduction, lN → l′QQ̅X. In this talk, we discuss in details the sensitivity of the QCD predictions for the azimuthal cos φ and cos 2φ asymmetries to the contribution of linearly polarized gluons inside unpolarized proton, where the azimuth φ is the angle between the lepton scattering plane (l, l′) and the heavy quark production plane (N, Q). Our analysis shows that the azimuthal distributions under consideration vary from 0 to 1 depending on the value of the gluonic counterpart of the Boer- Mulders function, $h_{1}^{ \bot g}$. We conclude that the cos φ and cos 2φ asymmetries in heavy-quark pair production in DIS processes are predicted to be large in wide kinematic ranges and sensitive to the contribution of linearly polarized gluons.
Highlights
In recent papers [1, 2], two new ways have been proposed to probe the linear polarization of gluons in unpolarized proton: using the azimuthal asymmetries and Callan-Gross ratio in heavy-quark pair leptoproduction, lN → l QQ X
We discuss in details the sensitivity of the QCD predictions for the azimuthal cos φ and cos 2φ asymmetries to the contribution of linearly polarized gluons inside unpolarized proton, where the azimuth φ is the angle between the lepton scattering plane (l, l ) and the heavy quark production plane (N, Q)
Transverse momentum dependent (TMD) distributions of the transversely polarized quarks, h⊥1 q(ζ, kT2 ), and linearly polarized gluons, h⊥1 g(ζ, kT2 ), in an unpolarized nucleon play an especial role in the studies of the spin-orbit couplings of partons
Summary
Transverse momentum dependent (TMD) distributions of the transversely polarized quarks, h⊥1 q(ζ, kT2 ), and linearly polarized gluons, h⊥1 g(ζ, kT2 ), in an unpolarized nucleon play an especial role in the studies of the spin-orbit couplings of partons. Measurements of these quantities could clarify in details the proton spin decomposition puzzle. It was shown that these azimuthal asymmetries (AAs) are expected to be large in wide kinematic ranges and very sensitive to the function h⊥1 g For this reason, measurements of the AAs at the proposed. The p⊥- and z - distributions of the AAs at LHeC energies are considered
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