arXiv subjects

T. Ueda

Publications and source records attributed to T. Ueda.

40 records · Page 3Linked to original sources

arXiv2007

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

We 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 $x$.

hep-ph↗

arXiv2006

Transition from real to virtual polarized photon structures

We investigate the transition of the polarized photon structure function $g_1^γ(x,Q^2,P^2)$ when the target photon shifts from on-shell ($P^2=0$) to far off-shell ($P^2\gg Λ^2$) region. The analysis is performed to the next-to-leading order in QCD. The first moment of $g_1^γ$ which vanishes for the real photon, turns to be a negative value when target photon becomes off-shell. The explicit $P^2$-dependence of the first moment sum rule as well as of the structure function $g_1^γ(x,Q^2,P^2)$ as a function of $x$ is studied in the framework of the vector meson dominance model.

hep-ph↗

arXiv2006

Sum rules of polarized photon structure functions revisited-- NNLO corrections to the first moment of $g_1^γ(x,Q^2,P^2)$ --

We present the next-to-next-to-leading order ($αα_s^2$) corrections to the first moment of the polarized virtual photon structure function $g_1^γ(x,Q^2,P^2)$ in the kinematical region $Q^2\gg P^2 \gg Λ^2$ in QCD. We find that the $αα_s^2$ corrections are about 3% of the sum of the leading ($α$) and the next-to-leading ($αα_s$) contributions, when $Q^2=30\sim 100 {\rm GeV}^2$ and $P^2=3 {\rm GeV}^2$.

hep-ph↗

arXiv2006

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

We 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.

hep-ph↗