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We study the three positivity constraints among the eight virtual photon structure functions, derived from the Cauchy-Schwarz inequality and which are hence model-independent. The photon structure functions obtained from the simple parton…

High Energy Physics - Phenomenology · Physics 2009-11-07 Ken Sasaki , Jacques Soffer , Tsuneo Uematsu

We investigate the virtual photon structure function in the supersymmetric QCD (SQCD), where we have squarks and gluinos in addition to the quarks and gluons. Taking into account the heavy particle mass effects to the leading order in QCD…

High Energy Physics - Phenomenology · Physics 2012-01-23 Ryo Sahara , Tsuneo Uematsu , Yoshio Kitadono

We investigate the positivity constraints for the structure functions of both virtual and real photon. From the Cauchy-Schwarz inequality we derive three positivity conditions for the general virtual photon case, which reduce, in the real…

High Energy Physics - Phenomenology · Physics 2009-11-07 K. Sasaki , J. Soffer , T. Uematsu

We evolve virtual photon parton densities up to the SUSY threshold and higher using coupled inhomogeneous DGLAP differential equations. Reliable input parameterizations were available from the c-quark threshold. Limited $P^2$ ( target…

High Energy Physics - Phenomenology · Physics 2010-03-25 D. A. Ross , L. J. Weston

We investigate the one-gluon-exchange ($\alpha \alpha_s$) corrections to the real photon structure functions $W_{TT} $, $W_{LT}$, $W_{TT}^{a} $ and $W_{TT}^\tau$ in the massive parton model. We employ a technique based on the Cutkosky rules…

High Energy Physics - Phenomenology · Physics 2013-08-28 Norihisa Watanabe , Yuichiro Kiyo , Ken Sasaki

We discuss the perturbatively calculable virtual photon structure functions. First we present the framework for analyzing the structure functions of the virtual photon and derive a first moment of $g_1^\gamma$ of the virtual photon. We then…

High Energy Physics - Phenomenology · Physics 2009-11-07 Tsuneo Uematsu

In the framework of the perturbative QCD we investigate heavy particle mass effects on the unpolarized and polarized photon structure functions, $F_2^\gamma$ and $g_1^\gamma$, respectively. We present our basic formalism to treat heavy…

High Energy Physics - Phenomenology · Physics 2015-06-11 Tsuneo Uematsu

The implications of the positivity constraint on the presently unknown polarized structure function of the photon, $g_1^{\gamma}(x,Q^2)$, are studied in detail. In particular the non-trivial consequences of this constraint,…

High Energy Physics - Phenomenology · Physics 2009-11-07 M. Gluck , E. Reya , C. Sieg

Polarized photon structure can be studied in the future polarized $e^{+}e^{-}$ colliding-beam experiments. We investigate the spin-dependent structure function of the virtual photon $g_1^{\gamma}(x,Q^2,P^2)$, in perturbative QCD for…

High Energy Physics - Phenomenology · Physics 2016-08-25 Ken Sasaki , Tsuneo Uematsu

The implications of the positivity constraint, $|g_1^{\gamma(P^2)}(x,Q^2)| \leq F_1^{\gamma(P^2)}(x,Q^2)$, on the presently unknown spin--dependent structure function $g_1^{\gamma(P^2)}(x,Q^2)$ of real and virtual photons are studied at…

High Energy Physics - Phenomenology · Physics 2009-01-07 M. Gluck , E. Reya , C. Sieg

We investigate the one-gluon-exchange ($\alpha \alpha_s$) corrections to the polarized real photon structure function $g_1^\gamma(x,Q^2)$ in the massive parton model. We employ a technique based on the Cutkosky rules and the reduction of…

High Energy Physics - Phenomenology · Physics 2015-05-30 Norihisa Watanabe , Yuichiro Kiyo , Ken Sasaki

The photon structure function is a useful testing ground for QCD. It is perturbatively computable apart from a contribution from what is usually called the hadronic component of the photon. There have been many proposals for this…

High Energy Physics - Phenomenology · Physics 2010-11-01 Sun Myong Kim , Thomas F. Walsh

The QCD treatment of the photon structure is recalled. Emphasis is given to the recently derived momentum sum rule, and to the proper choice of the factorization scheme and/or boundary conditions for the evolution equations beyond the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Andreas Vogt

We investigated top quark effects on virtual photon structure functions by pQCD. We include the top quark mass effects on the virtual photon structure function with the quark parton model and with the operator product expansion up to the…

High Energy Physics - Phenomenology · Physics 2011-08-17 Yoshio Kitadono

The virtual photon structure function $g_1^{\gamma}(x,Q^2,P^2)$, which can be obtained in polarized $e^{+}e^{-}$ colliding-beam experiments, is investigated for $\Lambda^2 \ll P^2 \ll Q^2$, where $-Q^2$ ($-P^2$) is the mass squared of the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ken Sasaki , Tsuneo Uematsu

We calculate the first moment of the photon structure function, $<x>^{\gamma}=\int^1_0 dx F^{\gamma}_2(x,Q^2)$, on the quenched lattices with $\beta=6.0$ using the formalism developed by the authors recently. In this exploratory study, we…

High Energy Physics - Lattice · Physics 2009-11-07 Xiangdong Ji , Chulwoo Jung

We calculate the spin dependent structure function of the polarized virtual photon $g_1^{\gamma}(x,Q^2,p^2)$, especially its hadronic part, using the OPE in the inverse powers of the target photon virtuality. Some model is accepted to…

High Energy Physics - Phenomenology · Physics 2009-09-25 A. V. Belitsky

Fully differential heavy quark contributions to the photon structure functions in deeply inelastic scattering are computed in next-to-leading order QCD, including both the direct and resolved contributions. A variety of distributions are…

High Energy Physics - Phenomenology · Physics 2009-10-28 B. W. Harris , J. F. Owens

We investigate the spin structure of the virtual photon beyond the leading order in QCD. The first moment of the virtual photon spin structure function $g_1^\gamma(x,Q^2,P^2)$ with QCD effects turns out to be non-vanishing in contrast to…

High Energy Physics - Phenomenology · Physics 2009-10-31 Ken Sasaki , Tsuneo Uematsu

We discuss a dispersion relation in the photon mass and show how (in principle) model-independent constraints on the parton distribution functions of the photon, notably a momentum sumrule, can be obtained. We present two sets of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Gerhard A. Schuler
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