Small-$x$ behaviour of the polarized photon structure function $F_3^\gamma(x,Q^2)$

B. Ermolaev; R. Kirschner; L. Szymanowski

doi:doi:10.1007/s100530050348

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2021 Impact factor 4.991

Particles and Fields

Eur. Phys. J. C 7, 65-72
DOI 10.1007/s100529800977

Small-x behaviour
of the polarized photon structure function $F_3^\gamma(x,Q^2)$

B. Ermolaev^1,2 - R. Kirschner¹ - L. Szymanowski^1,3

¹ Naturwissenschaftlich-Theoretisches Zentrum und Institut für Theoretische Physik, Universität Leipzig Augustusplatz 10, D-04109 Leipzig, Germany
² Ioffe Physico-Technical Institute, St. Petersburg 194021, Russia
³ Soltan Institut for Nuclear Studies, Hoza 69, 00-681 Warsaw, Poland

Received: 23 June 1998 / Published online: 16 September 1998

Abstract
We study the small-x behaviour of the polarized photon structure function $F_3^{\gamma}$ , measuring the gluon transversity distribution, in the leading logarithmic approximation of perturbative QCD. There are two contributions, both arising from two-gluon exchange. The leading contribution to small-x is related to the BFKL pomeron and behaves like $x^{-1-\omega_2}$ , $\omega_2 = {\cal O}(\alpha_S)$ .The other contribution includes in particular the ones summed by the DGLAP equation and behaves like $x^{1-\omega_0^{(+)}}$ , $\omega_0^{(+)} = {\cal O}(\sqrt{\alpha_S})$ .