Analytic expression for the joint x and Q{sup 2} dependences of the structure functions of deep inelastic scattering.

Journal Article · Fri Jun 15 04:00:00 EDT 2007 · Phys. Rev. Lett.

DOI:https://doi.org/10.1103/PhysRevLett.98.242001· OSTI ID:914979

Berger, E L; Block, M M; Tan, C -I

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 Laboratory (ANL)
• Sponsoring Organization: SC
• DOE Contract Number: AC02-06CH11357
• OSTI ID: 914979
• Report Number(s): ANL-HEP-PR-07-13
• Journal Information: Phys. Rev. Lett., Journal Name: Phys. Rev. Lett. Journal Issue: Jun. 15, 2007 Vol. 98; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: ENGLISH

Related Subjects

37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY
ANALYTICAL SOLUTION
DEEP INELASTIC SCATTERING
STRUCTURE FUNCTIONS