The Virtual Photon Structure to the Next-to-next-to-leading Order in QCD

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dc.creatorUeda, T.
dc.creatorSasaki, K.
dc.creatorUematsu, T.
dc.date2007-03-28
dc.date2007-05-18
dc.date.accessioned2026-07-07T11:59:15Z
dc.date.available2026-07-07T11:59:15Z
dc.descriptionWe investigate the unpolarized virtual photon structure functions $F_2^gamma(x,Q^2,P^2)$ and $F_L^gamma(x,Q^2,P^2)$ in perturbative QCD for 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. Using the framework of the operator product expansion supplemented by the renormalization group method, we derive the definite predictions for the moments of $F_2^gamma(x,Q^2,P^2)$ up to the next-to-next-to-leading order (NNLO) (the order $alphaalpha_s$) and for the moments of $F_L^gamma(x,Q^2,P^2)$ up to the next-to-leading order (NLO) (the order $alphaalpha_s$). The NNLO corrections to the sum rule of $F_2^gamma(x,Q^2,P^2)$ are negative and found to be $7% sim10%$ of the sum of the LO and NLO contributions, when $P^2=1 {rm GeV}^2$ and $Q^2=30sim 100 {rm GeV}^2$ or $P^2=3 {rm GeV}^2$ and $Q^2=100 {rm GeV}^2$, and the number of active quark flavors $n_f$ is three or four. The NLO corrections to $F_L^gamma$ are also negative. The moments are inverted numerically to obtain the predictions for $F_2^gamma(x,Q^2,P^2)$ and $F_L^gamma(x,Q^2,P^2)$ as functions of $x$.
dc.description52 pages, 7 figures; three lines added in section V, two lines added in section VII, references added for section I and V
dc.identifierhttps://arxiv.org/abs/hep-ph/0703296
dc.identifierhttp://arxiv.org/abs/hep-ph/0703296
dc.identifierPhys.Rev.D75:114009,2007
dc.identifierdoi:10.1103/PhysRevD.75.114009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/206499
dc.subjectHigh Energy Physics - Phenomenology
dc.titleThe Virtual Photon Structure to the Next-to-next-to-leading Order in QCD
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