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

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

1996-05-06

arxiv.org/abs/hep-ph/9605229v2

Phys.Lett. B383 (1996) 463-469; Erratum-ibid. B393 (1997) 487-488

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, latex, 2 figures, additional references included

Scientific paper

10.1016/S0370-2693(96)01653-X

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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