The $alpha alpha_s^2$ corrections to the first moment of the polarized virtual photon structure function $g_1^gamma(x,Q^2,P^2)$

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dc.creatorSasaki, K.
dc.creatorUeda, T.
dc.creatorUematsu, T.
dc.date2006-04-14
dc.date.accessioned2026-07-07T10:45:03Z
dc.date.available2026-07-07T10:45:03Z
dc.descriptionWe present the next-to-next-to-leading order ($alpha alpha_s^2$) corrections to the first moment of the polarized virtual photon structure function $g_1^gamma(x,Q^2,P^2)$ in the kinematical region $Lambda^2 ll P^2 ll Q^2$, where $-Q^2(-P^2)$ is the mass squared of the probe (target) photon and $Lambda$ is the QCD scale parameter. In order to evaluate the three-loop-level photon matrix element of the flavor singlet axial current, we resort to the Adler-Bardeen theorem for the axial anomaly and we calculate in effect the two-loop diagrams for the photon matrix element of the gluon operator. The $alpha alpha_s^2$ corrections are found to be about 3% of the sum of the leading order ($alpha$) andthe next-to-leading order ($alpha alpha_s$) contributions, when $Q^2=30 sim 100 {rm GeV}^2$and $P^2=3{rm GeV}^2$, and the number of active quark flavors $n_f$ is three to five.
dc.description21 pages
dc.identifierhttps://arxiv.org/abs/hep-ph/0604130
dc.identifierhttp://arxiv.org/abs/hep-ph/0604130
dc.identifierPhys.Rev.D73:094024,2006
dc.identifierdoi:10.1103/PhysRevD.73.094024
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/182802
dc.subjectHigh Energy Physics - Phenomenology
dc.titleThe $alpha alpha_s^2$ corrections to the first moment of the polarized virtual photon structure function $g_1^gamma(x,Q^2,P^2)$
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