Small-x behaviour of the polarized photon structure function F_3^\gamma(x,Q^2) |
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| Authors: | B Ermolaev R Kirschner L Szymanowski |
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| Institution: | Naturwissenschaftlich-Theoretisches Zentrum und Institut für Theoretische Physik, Universit?t Leipzig Augustusplatz 10, D-04109 Leipzig, Germany, DE
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| Abstract: | We study the small-x behaviour of the polarized photon structure function F3gF_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-w2x^{-1-\omega_2}, w2 = O(aS)\omega_2 ={\cal O}(\alpha_S). The other contribution includes in particular the ones summed by the DGLAP equation and behaves like x1-w0(+)x^{1-\omega_0^{(+)}}, w0(+) = O(?{aS})\omega_0^{(+)} = {\cal O}(\sqrt{\alpha_S}). |
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