Azimuthal Dependence of the Heavy Quark Initiated Contributions to DIS

Details Azimuthal Dependence of the Heavy Quark Initiated Contributions to DIS Azimuthal Dependence of the Heavy Quark Initiated Contributions to DIS

2006-09-07

arxiv.org/abs/hep-ph/0609074v3

Phys.Rev.D75:014010,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, 4 figures, revtex4, published version

Scientific paper

10.1103/PhysRevD.75.014010

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 $\gamma^{*}Q$ cross sections in the case of arbitrary values of the heavy quark mass. Then the azimuth-dependent ${\cal O}(\alpha_{s})$ lepton-quark DIS is calculated in the helicity basis. Finally, we investigate numerically the properties of the $\cos\phi$ and $\cos2\phi$ 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 $\cos2\phi$-independent. This fact implies that measurements of the azimuthal distributions in charm leptoproduction could directly probe the charm density in the proton.

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