Evolution equation for the structure function g2( x, Q2)

We perform an extensive study of the scale dependence of flavor-singlet contributions to the structure function g 2( x, Q 2) in polarized deep-inelastic scattering. We find that the mixing between quark–antiquark–gluon and three-gluon twist-3 operators only involves the three-gluon operator with the...

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Bibliographic Details
Published in:Nuclear physics. B 2001-06, Vol.603 (1), p.69-124
Main Authors: Braun, V.M., Korchemsky, G.P., Manashov, A.N.
Format: Article
Language:English
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Summary:We perform an extensive study of the scale dependence of flavor-singlet contributions to the structure function g 2( x, Q 2) in polarized deep-inelastic scattering. We find that the mixing between quark–antiquark–gluon and three-gluon twist-3 operators only involves the three-gluon operator with the lowest anomalous dimension and is weak in other cases. This means, effectively, that only those three-gluon operators with the lowest anomalous dimension for each moment are important, and allows to formulate a simple two-component parton-like description of g 2( x, Q 2) in analogy with the conventional description of twist-2 parton distributions. The similar simplification was observed earlier for the nonsinglet distributions, although the reason is in our case different.
ISSN:0550-3213
1873-1562
DOI:10.1016/S0550-3213(01)00165-1