Hadron mass corrections in semi-inclusive deep inelastic scattering
We derive mass corrections for semi-inclusive deep inelastic scattering of leptons from nucleons using a collinear factorization framework which incorporates the initial state mass of the target nucleon and the final state mass of the produced hadron $$h$$. The hadron mass correction is made by introducing a generalized, finite-$Q^2$ scaling variable $$\zeta_h$$ for the hadron fragmentation function, which approaches the usual energy fraction $$z_h = E_h/\nu$$ in the Bjorken limit. We systematically examine the kinematic dependencies of the mass corrections to semi-inclusive cross sections, and find that these are even larger than for inclusive structure functions. The hadron mass corrections compete with the experimental uncertainties at kinematics typical of current facilities, $$Q^2 \lesssim 10$$~GeV$^2$ and intermediate $$x_B \gtrsim 0.3$$, and will be important to efforts at extracting parton distributions from semi-inclusive processes at intermediate energies.
- Research Organization:
- Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC)
- DOE Contract Number:
- AC05-06OR23177
- OSTI ID:
- 978667
- Report Number(s):
- JLAB-THY-09-1028; DOE/OR/23177-0862
- Journal Information:
- Journal of High Energy Physics, Journal Name: Journal of High Energy Physics Vol. 11
- Country of Publication:
- United States
- Language:
- English
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