# Mellin Moments of the {$Oα s^3$} Heavy Flavor Contributions to unpolarized Deep-Inelastic Scattering at $Q^2 gg m^2$ and Anomalous Dimensions - High Energy Physics - Phenomenology

Mellin Moments of the {$Oα s^3$} Heavy Flavor Contributions to unpolarized Deep-Inelastic Scattering at $Q^2 gg m^2$ and Anomalous Dimensions - High Energy Physics - Phenomenology - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

Abstract: We calculate the $O\alpha s^3$ heavy flavor contributions to the Wilsoncoefficients of the structure function $F 2x,Q^2$ and the massive operatormatrix elements OMEs for the twist-2 operators of unpolarized deeplyinelastic scattering in the region $Q^2 \gg m^2$. The massive Wilsoncoefficients are obtained as convolutions of massive OMEs and the known lightflavor Wilson coefficients. We also compute the massive OMEs which are neededto evaluate heavy flavor parton distributions in the variable flavor numberscheme VFNS to 3-loop order. All contributions to the Wilson coefficientsand operator matrix elements but the genuine constant terms at $O\alpha s^3$of the OMEs are derived in terms of quantities, which are known for generalvalues in the Mellin variable $N$. For the operator matrix elements$A {Qg}^{3}, A {qg,Q}^{3}$ and $A {gg,Q}^{3}$ the moments $N = 2$ to 10,for $A {Qq}^{3, m PS}$ to $N = 12$, and for $A {qq,Q}^{3, m NS}$,$A {qq,Q}^{3, m PS}$, $A {gq,Q}^{3}$ to N=14 are computed. These termscontribute to the light flavor +-combinations. For the flavor non-singletterms, we calculate as well the odd moments N=1 to 13, corresponding to thelight flavor $-$-combinations. We also obtain the moments of the 3-loopanomalous dimensions, their color projections for the present processesrespectively, in an independent calculation, which agree with the results givenin the literature.

Autor: Isabella Bierenbaum, Johannes Blümlein, Sebastian Klein

Fuente: https://arxiv.org/