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How to measure the Charm Density in the Proton at EIC
We study two experimental ways to measure the heavy-quark content of the
proton: using the Callan-Gross ratio and/or the azimuthal
asymmetry in deep inelastic lepton-nucleon scattering. Our
approach is based on the following observations. First, unlike the production
cross sections, the ratio and the azimuthal
asymmetry in heavy-quark leptoproduction are sufficiently stable, both
parametricallly and perturbatively, in a wide region of variables and
within the fixed-flavor-number scheme of QCD. Second, both these quantities,
and asymmetry, are sensitive to resummation of
the mass logarithms of the type within
the variable-flavor-number schemes. These two facts together imply that the
heavy-quark densities in the nucleon can, in principle, be determined from
high- data on the Callan-Gross ratio and/or the azimuthal asymmetry in
heavy-quark leptoproduction. In particular, the charm content of the proton can
be measured in future studies at the proposed Large Hadron-Electron (LHeC) and
Electron-Ion (EIC) Colliders.Comment: 9 pages, 4 figures, LaTeX. Talk given at the Workshop on Exclusive
Reactions at High Momentum Transfer (IV), May 18-21, 2010, TJNAF, Newport
News, VA and Electron-Ion Collider Collaboration Meeting, July 29-31, 2010,
Catholic University of America, Washington, D
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