An Introduction To Quantum Field Theory - M. Peskin, D. Schroeder (Perseus, 1995) · Problem 17.5

Quantum Chromodynamics — M. Peskin, D. Schroeder (Perseus, 1995)

Physics — QFT · qcd-heavy-quark-photoproduction

Problem

17.5 Photoproduction of heavy quarks. Consider the process of heavy quark pair photoproduction, γ+p→QQˉ+X\gamma + p \to Q\bar{Q} + X, for a heavy quark of mass MM and electric charge Q\mathcal{Q}. If MM is large enough, any diagram contributing to this process must involve a large momentum transfer; thus a perturbative QCD analysis should apply. This idea applies in practice already for the production of cc quark pairs. Work out the cross section to the leading order in QCD. Choose the parton subprocess that gives the leading contribution to this reaction, and write the parton-model expression for the cross section. You will need to compute the relevant subprocess cross section, but this can be taken directly from one of the QED calculations in Chapter 5. Then use this result to write an expression for the cross section for γ\gamma-proton scattering.

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