QCD factorization for semi-inclusive deep-inelastic scattering at low transverse momentum

By X. Ji, Jian-ping Ma, F. Yuan. 2004

352 citations recorded by the source corpus.

We demonstrate a factorization formula for semi-inclusive deep-inelastic scattering with hadrons in the current fragmentation region detected at low transverse momentum. To facilitate the factorization, we introduce the transverse-momentum dependent parton distributions and fragmentation functions with gauge links slightly off the light-cone, and with soft-gluon radiations subtracted. We verify the factorization to one-loop order in perturbative quantum chromodynamics and argue that it is valid to all orders in perturbation theory.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/f1cd78d98e47a75f6bb8f44266b9e24db3e90556

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In Nuclear and High Energy Physics

Citations in the corpus

Soft and collinear factorization and transverse momentum dependent parton distribution functions (2012, background): “as the scale factorization remains intact under any arbitrary boost transformations. TMD parton distribution functions (TMDPDFs) where introduced by Collins and Soper [1, 2]. Later on Ji, Ma and Yuan [3] re-deﬁned TMDPDFs by subtracting a complete soft function from the bi-local collinear quark ﬁeld”
Effects of transversity in deep-inelastic scattering by polarized protons (2010, neutral): “ons (see, e.g, Ref. [9]). When the transversemomentum ofthe producedhadron is small compared to the hard scale Q, semi-inclusive DIS can be described using transverse-momentum-dependent factorization [10,11]. The semi-inclusive structure functions can be interpreted in terms of convolutions involvin”
A formalism for the systematic treatment of rapidity logarithms in Quantum Field Theory (2012, background): “TMDPDF with analogous definitions has been discussed intensely in various contents [59–61, 64–68].”
Parton distributions and lattice-QCD calculations: Toward 3D structure (2020, methodology): “Lastly, TMD PDFs as introduced by Ji, Ma and Yuan (JMY) (Ji et al., 2005) employ a scheme where Hij depends not only on the MS-renormalization scale µ, but also on an additional parameter ρ related to the regulation of rapidity divergences, which we discuss below.”
A Large Hadron Electron Collider at CERN: Report on the Physics and Design Concepts for Machine and Detector (2012, methodology): “On the theory side, these concern the relation between different formalisms for evolution [246,465,469,474,479], the extension of factorisation theorems to a larger number of particles in the final state, and the matching to Monte Carlo generators.”
Elements of a theory for multiparton interactions in QCD (2011, methodology): “58) As discussed earlier, we require v to be spacelike (although the manipulations in the following would also work for timelike v, which is the choice adopted in [52]).”