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Approximate analytical lower bounds on ‘double asymptotic scaling’ variables and physics at HERA

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Abstract

We analytically examine the asymptotic solution of gluon evolution equation in terms of the ‘double scaling variables’ρ andσ of perturbative QCD and find the approximate lower bounds on these, above which the solution is considered to be valid. Comparison of this asymptotic solution is made with the fit obtained from data and the estimated lower bound onρ is nearly equal to our analytical finding. To analyze the data below the lower bound onρ, other analytical solutions of gluon evolution equation are to be used which depend highly on the inputx-distributions of gluon to study the physics at low-x of HERA range.

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  1. Department of Physics, Arya Vidyapeeth College, 781 016, Guwahati, India

    A Saikia

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  1. A Saikia
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Saikia, A. Approximate analytical lower bounds on ‘double asymptotic scaling’ variables and physics at HERA. Pramana - J. Phys. 47, 393–400 (1996). https://doi.org/10.1007/BF02847826

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  • DOI: https://doi.org/10.1007/BF02847826

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