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000482180 0247_ $$2arXiv$$aarXiv:2211.15337
000482180 0247_ $$2datacite_doi$$a10.3204/PUBDB-2022-04667
000482180 037__ $$aPUBDB-2022-04667
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000482180 088__ $$2Other$$aDO–TH 15/01
000482180 088__ $$2Other$$aTTP 22–023
000482180 088__ $$2Other$$aSAGEX–20–11
000482180 088__ $$2arXiv$$aarXiv:2211.15337
000482180 088__ $$2Other$$aZU-TH 57/22
000482180 1001_ $$0P:(DE-H253)PIP1005124$$aBierenbaum, Isabella$$b0
000482180 245__ $$a$O(\alpha_s^2$)  Polarized Heavy Flavor Corrections to Deep-Inelastic Scattering at {$Q^2 \gg m^2$}
000482180 260__ $$c2022
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000482180 500__ $$a58 pages Latex, 12 Figures
000482180 520__ $$aWe calculate the quarkonic $O(\alpha_s^2)$ massive operator matrix elements $\Delta A_{Qg}(N),\Delta A_{Qq}^{\rm PS}(N)$ and $\Delta A_{qq,Q}^{\rm NS}(N)$ for the twist--2 operators whichcontribute to the heavy flavor Wilson coefficients in polarized deeply inelastic scatteringin the region $Q^2 \gg m^2$ to $O(\varepsilon)$ in the case of the inclusive heavy flavorcontributions. The evaluation is performed in Mellin space, without applying theintegration-by-parts method. The result is given in terms of harmonic sums. This leads to asignificant compactification of the operator matrix elements derived previously in \cite{BUZA2},which we partly confirm, and also partly correct. The results allow to determine the heavyflavor Wilson coefficients for $g_1(x,Q^2)$ to $O(\alpha_s^2)$ for all but the power suppressedterms $\propto (m^2/Q^2)^k, k \geq 1$. The results in $z$-space are also presented.  We alsodiscuss the small $x$ effects in the polarized case. Numerical results are presentedand we compute the matching coefficients in the two--mass variable flavor number scheme.
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000482180 650_7 $$2INSPIRE$$aheavy quark
000482180 650_7 $$2INSPIRE$$adeep inelastic scattering
000482180 650_7 $$2INSPIRE$$acompactification
000482180 650_7 $$2INSPIRE$$aquarkonium
000482180 650_7 $$2INSPIRE$$ainelastic scattering
000482180 650_7 $$2INSPIRE$$amathematical methods
000482180 650_7 $$2INSPIRE$$asuppression
000482180 650_7 $$2INSPIRE$$anumerical calculations
000482180 650_7 $$2INSPIRE$$aflavor
000482180 693__ $$0EXP:(DE-588)4443767-5$$1EXP:(DE-588)4159571-3$$5EXP:(DE-588)4443767-5$$aHERA$$eHERA: H1$$x0
000482180 7001_ $$0P:(DE-H253)PIP1003764$$aBlümlein, Johannes$$b1$$eCorresponding author
000482180 7001_ $$0P:(DE-H253)PIP1007138$$aFreitas, Abilio de$$b2
000482180 7001_ $$0P:(DE-HGF)0$$aGoedicke, Alexander$$b3
000482180 7001_ $$0P:(DE-H253)PIP1005984$$aKlein, Sebastian$$b4
000482180 7001_ $$0P:(DE-HGF)0$$aSchoenwald, kay$$b5
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000482180 9141_ $$y2022
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000482180 9201_ $$0I:(DE-H253)Z_ZPPT-20210408$$kZ_ZPPT$$lZeuthen Particle PhysicsTheory$$x0
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