Analytic Expression for the Joint x and Q{sup 2} Dependences of the Deep-Inelastic Structure Functions
- High Energy Physics Division, Argonne National Laboratory, Argonne, Illinois 60439 (United States)
- Department of Physics and Astronomy, Northwestern University, Evanston, Illinois 60208 (United States)
- Physics Department, Brown University, Providence, Rhode Island 02912 (United States)
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}{sup n}F{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.
- OSTI ID:
- 20953281
- Journal Information:
- Physical Review Letters, Vol. 98, Issue 24; Other Information: DOI: 10.1103/PhysRevLett.98.242001; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0031-9007
- Country of Publication:
- United States
- Language:
- English
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