Summary
We consider the energy dependence of charm and beauty production cross-sections in pp or\(\bar pp\) collisions up to √s=200 TeV for different values of the scale μ2, using different proton structure functions. The cross-sections are computed accounting for leading-order and next-to-leading order perturbative QCD contributions. The values ofK-factors increase significantly with the energy for relatively small scale values, μ2≈M 2, whereM is the heavy-quark mass, and do not practically depend on the energy for higher values, μ2=4M 2−8M 2. The calculated cross-sections as functions of the energy for different values of μ2 have a common crossing point if the gluon structure functions used have proper Altarelli-Parisi μ2-evolution. The same holds true when considering the energy and scale dependence of the heavy-quark cross-sections in high-energy photoproduction.
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Anzivino, G., Arzarello, F., Bari, G. et al. Energy and scale dependence of heavy-quark production in QCD. Nuov Cim A 107, 901–919 (1994). https://doi.org/10.1007/BF02731104
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DOI: https://doi.org/10.1007/BF02731104