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IR-Renormalon Contribution to the Polarized Structure Function $g_1$

M. Meyer-Hermann·M. Maul·L. Mankiewicz·E. Stein·A. Schäfer
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Abstract

An estimation of the higher twist contribution to the polarized nonsinglet structure function $g_1$ is given. Its first moment is generally assumed to be small but this could be due to a cancellation of its contribution in different Bjorken-$x$ ranges. We estimate the magnitude of $g_1^{tw4}$ as a function of $x$ in the framework of the renormalon method. The calculated higher-twist-correction to $g_1$ turn out to be in fact small for all $x$ values. The correction to the determination of the nonsinglet matrix element $d_{NS}^{(2)}$ from data for transversely nucleon polarization due to the calculated higher twist effects is of order $10\%$.

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M. Meyer-Hermann, M. Maul, L. Mankiewicz, E. Stein, A. Schäfer. 1996-05-08. IR-Renormalon Contribution to the Polarized Structure Function $g_1$. https://doi.org/10.1016/s0370-2693(96)01653-x

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