Behavior of Deep Inelastic Structure Functions Near Physical Region Endpoints From {QCD}
Oct, 197922 pages
Published in:
- Nucl.Phys.B 171 (1980) 231-252
- Published: 1980
Report number:
- FTUAM/79-08
Citations per year
Abstract: (Elsevier)
We investigate the behaviour of structure functions of deep inelastic scattering F ( x , Q 2 ) as x → 0, 1, under the assumption that it is of a power type (with eventual logarithms) and working to leading order in QCD. The most striking result is that, as x → 0, one must have F ( x , Q 2 ) ∼ C (log( Q 2 / Λ 2 )) d + x − λ s where d + is calculable in terms of λ s and both λ s , d + are strictly positive. (This is contrary to usual parametrizations which, using Pomeranchuk-dominance arguments, take λ s = 0). Using the found x → 0, 1 behaviour, we are able to give extremely simple parametrizations of structure functions compatible with QCD; exactly, near the endpoints, and approximately for all other x . The ensuing fits to the data improve standard ones for x∼0 with λ s ⋍ 1 3 .- DEEP INELASTIC SCATTERING: STRUCTURE FUNCTION
- STRUCTURE FUNCTION: DEEP INELASTIC SCATTERING
- QUANTUM CHROMODYNAMICS
- APPROXIMATION: LEADING ORDER
- POMERON
- STRUCTURE FUNCTION: PARAMETRIZATION
- SUM RULE
- COUPLING CONSTANT: STRONG INTERACTION
- STRONG INTERACTION: COUPLING CONSTANT
- REGGE POLES
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