Analytic expression for the joint x and Q{sup 2} dependences of the structure functions of deep inelastic scattering.
We obtain a good analytic fit to the joint Bjorken-x and Q{sup 2} dependences of ZEUS data on the deep-inelastic structure function F{sub 2}{sup p}(x,Q{sup 2}). At fixed virtuality Q{sup 2}, as we showed previously, our expression is an expansion in powers of ln(1/x) that satisfies the Froissart bound. Here we show that for each x, the Q{sup 2} dependence of the data is well described by an expansion in powers of lnQ{sup 2}. The resulting analytic expression allows us to predict the logarithmic derivatives ({partial_derivative}nF{sub 2}{sup p}/({partial_derivative}lnQ{sup 2}){sup n}){sub x} for n = 1,2 and to compare the results successfully with other data. We extrapolate the proton structure function F{sub 2}{sup p}(x,Q{sup 2}) to the very large Q{sup 2} and the very small x regions that are inaccessible to present-day experiments and contrast our expectations with those of conventional global fits of parton distribution functions.
- Research Organization:
- Argonne National Lab. (ANL), Argonne, IL (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC)
- DOE Contract Number:
- DE-AC02-06CH11357
- OSTI ID:
- 914979
- Report Number(s):
- ANL-HEP-PR-07-13; PRLTAO; TRN: US200817%%47
- Journal Information:
- Phys. Rev. Lett., Vol. 98, Issue Jun. 15, 2007; ISSN 0031-9007
- Country of Publication:
- United States
- Language:
- ENGLISH
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