A fifth order perturbative solution to the Gribov - Lipatov equation

Abstract

Fifth order exact corrections to the non-singlet electron structure function in QED are the leading logarithmic approximation using the ad hoc exponentiation prescription proposed by Jadach and Ward and a recurence formula for the elements of the Jadach-Ward series. A comparison with existing third order solutions is also presented. The three next elements of the Jadac Ward series were calculated numerically and parametrized with an accuracy better than 5x10-6 in the range of x between 0.01 and 1.

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