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Low transverse momentum heavy quark pair production to probe gluon tomography. (English) Zbl 1331.81326

Summary: We derive the transverse momentum dependent (TMD) factorization for heavy quark pair production in deep inelastic scattering, where the total transverse momentum is much smaller than the invariant mass of the pair. The factorization is demonstrated at one-loop order, in both Ji-Ma-Yuan and Collins-11 schemes for the TMD definitions, and the hard factors are calculated accordingly. Our result provides a solid theoretical foundation for the phenomenological investigations of the gluon TMDs in this process, and can be extended to other similar hard processes, including di-jet (di-hadron) production in DIS.

MSC:

81V05 Strong interaction, including quantum chromodynamics
81U35 Inelastic and multichannel quantum scattering
81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics

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