Abstract
The spin-dependent cross sections for semi-inclusive lepton-nucleon scattering are derived in the framework of collinear factorization, including the effects of masses of the target and produced hadron at finite momentum transfer squared Q^2. At leading order the cross sections factorize into products of parton distribution and fragmentation functions evaluated in terms of new, mass-dependent scaling variables. The size of the hadron mass corrections is estimated at kinematics relevant for future semi-inclusive deep-inelastic scattering experiments.
Highlights
JHEP09(2015)169 double-spin asymmetries has opened up the largely unexplored realm of transverse momentum dependent parton distributions [14,15,16]
While target mass corrections have been incorporated in some global spin-PDF analyses [31,32,33,34,35], none of the analyses which have included polarized SIDIS data [32, 49] have accounted for hadron mass corrections” (HMCs)
To disentangle the separate HMC effects in the SIDIS cross sections arising from the PDFs and fragmentation functions, in figure 5 we illustrate the ratios of PDFs at finite Q2 to the corresponding massless limit distributions
Summary
The semi-inclusive lepton-nucleon scattering process is illustrated in figure 1, where the incident lepton (with momentum l) scatters from an initial state nucleon (p) to a recoil lepton (l′) via the exchange of a virtual photon (q), producing a final state hadron h (with momentum ph). The semi-inclusive lepton-nucleon scattering process is illustrated, where the incident lepton (with momentum l) scatters from an initial state nucleon (p) to a recoil lepton (l′) via the exchange of a virtual photon (q), producing a final state hadron h (with momentum ph). We first review the external kinematics and choice of variables, before outlining the collinear factorization framework for describing the hard scattering process. After defining the hadronic tensor in terms of quark-nucleon and quark-hadron correlation functions, we derive expressions for the spin-averaged and spin-dependent cross sections in terms of parton distribution and fragmentation functions at leading order in the strong coupling constant and for finite values of Q2
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