Azimuthal Dependence of the Heavy Quark Initiated Contributions to DIS

Abstract

We analyze the azimuthal dependence of the heavy-quark-initiated contributions to the lepton-nucleon deep inelastic scattering (DIS). First we derive the relations between the parton level semi-inclusive structure functions and the helicity ${\gamma }^{\ast }Q$ cross sections in the case of arbitrary values of the heavy quark mass. Then the azimuth-dependent $\mathcal{O}({\alpha }_s)$ lepton-quark DIS is calculated in the helicity basis. Finally, we investigate numerically the properties of the $\cos \varphi$ and $\cos 2\varphi$ distributions caused by the photon-quark scattering (QS) contribution. It turns out that, contrary to the basic photon-gluon fusion (GF) component, the QS mechanism is practically $\cos 2\varphi$-independent. This fact implies that measurements of the azimuthal distributions in charm leptoproduction could directly probe the charm density in the proton.

arXiv comment11 pages, 4 figures, revtex4, published version

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• How to measure the linear polarization of gluons in unpolarized proton using the heavy-quark pair leptoproduction
• On the intrinsic bottom content of the nucleon and its impact on heavy new physics at the LHC
• QCD predictions for the azimuthal asymmetry in charm leptoproduction for the COMPASS kinematics
• Determination of the Beam-Spin Asymmetry of Deuteron Photodisintegration in the Energy Region $E_{\gamma }=1.1-2.3$ GeV
• The impact of intrinsic charm on the parton distribution functions
• The uncertainty of parton distribution functions due to physical observables in a global analysis
• How to measure the linear polarization of gluons in unpolarized proton using the heavy-quark pair production
• Spin Effects in Quantum Chromodynamics and Recurrence Lattices with Multi-Site Exchanges
• Perturbative stability of the QCD predictions for the ratio $R=F_L/F_T$ and azimuthal asymmetry in heavy-quark leptoproduction