Target mass effects in polarized electroproduction

Matsuda, Shôichi; Uematsu, Tsuneo

doi:10.1016/0550-3213(80)90283-7

Cited by 66 publications

(71 citation statements)

References 22 publications

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“…Some years later, using the same procedure, the target mass contributions for polarized deep inelastic scattering were studied in Refs. [13][14][15][16]. A short review of Nachtmann's method in deep inelastic lepton-hadron scattering was given in Ref.…”

Section: Introductionmentioning

confidence: 99%

Power corrections of off-forward quark distributions and harmonic operators with definite geometric twist

2001

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We introduce a group theoretically motivated procedure of parametrizing non-forward matrix elements of non-local QCD operators by (two-variable) distribution amplitudes of well-defined geometric twist being multiplied by kinematical factors (related to the Lorentz structure of the operators and to the target states) as well as position-dependent coefficient functions resulting from the (infinite) twist decomposition of the operators. These distribution amplitudes are interpreted as (sum over) power corrections of the double distributions. -Using the technique of harmonic polynomials for the local operators we determine the (infinite) twist decomposition of totally symmetric operators completely and for operators with non-trivial symmetry type up to twist τ = 3. This covers the phenomenological interesting quark-antiquark operators. Using these results we determine the power corrections to the various double distributions and the vector meson wave functions. It is shown that the structure of the kinematical power corrections may be obtained, by harmonic extension, from the corresponding expressions for operators or distribution amplitudes, on the light-cone. PACS number(s): 12.38 Bx, 13.85 Fb

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Section: Introductionmentioning

confidence: 99%

Power corrections of off-forward quark distributions and harmonic operators with definite geometric twist

2001

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“…[7] for the polarized nucleon case, and we obtain the analytic expression of the Nachtmann moments [4] for the twist-2 and twist-3 operators with definite spin n. By writing down the dispersion relations for the amplitudes and with the use of orthogonality relations as well as an integration formula for Gegenbauer polynomials C (ν)…”

Section: Nachtmann Momentsmentioning

confidence: 99%

“…[7,14]. The powerseries expansion in P 2 /Q 2 gives the first order TME, the difference of LHS's of (16) and (15):…”

Section: Qcd Sum Rules With Tmementioning

confidence: 99%

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Mass effects in the polarized virtual photon structure

Sasaki

Uematsu

2004

Nuclear Physics B - Proceedings Supplements

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We discuss target mass effects in the polarized virtual photon structure functions $g_1^\gamma (x,Q^2,P^2)$, $g_2^\gamma (x,Q^2,P^2)$ for the kinematic region $\Lambda^2\ll P^2 \ll Q^2$, where $-Q^2 (-P^2)$ is the mass squared of the probe (target) photon. We obtain the expressions for the structure functions in closed form by inverting the Nachtmann moments for the twist-2 and twist-3 operators. Numerical analysis shows that target mass effects appear at large $x$ and become sizable near the maximal value of $x$, as the ratio $P^2/Q^2$ increases. Target mass effects for the QCD sum rules of $g_1^\gamma$ and $g_2^\gamma$ are also investigated.Comment: 5 pages, LaTeX, 4 eps figures, npb.sty file included, Talk given at Loops and Legs 2004, Zinnowitz, Germany, April 25-30, 2004, to appear in the Proceeding

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“…The same procedure was then applied later on by various authors to calculate target mass corrections in polarized deep inelastic scattering [9,10,11,12,13] and to determine meson mass corrections [14,15]. Ref.…”

Section: Introductionmentioning

confidence: 99%