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Modeling power corrections to the Bjorken sum rule for the neutrino structure function F_1

C. Weiss
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Abstract

Direct measurements of the the structure functions F_1^{nu p} and F_1^{nu n} at a neutrino factory would allow for an accurate extraction of alpha_s from the Q^2-dependence of the Bjorken sum rule, complementing that based on the Gross-Llewellyn-Smith sum rule for F_3. We estimate the power (1/Q^2-) corrections to the Bjorken sum rule in the instanton vacuum model. For the reduced matrix element of the flavor-nonsinglet twist-4 operator ubar_g_Gdual_gamma_gamma5_u - (u -> d) we obtain a value of 0.18 GeV^2, in good agreement with the QCD sum rule calculations of Braun and Kolesnichenko. Our result allows to reduce the theoretical error in the determination of alpha_s.

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C. Weiss. 2002-10-08. Modeling power corrections to the Bjorken sum rule for the neutrino structure function F_1. https://doi.org/10.1088/0954-3899%2F29%2F8%2F385

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