arXiv:1010.4251·v1·High Energy Physics — Phenomenology

$O (α_{s}^{3} T_{F}^{2} N_{F})$ Contributions to the Heavy Flavor Wilson Coefficients of the Structure Function $F_{2} (x, Q^{2})$ at $Q^{2} ≫ m^{2}$

Abstract

The massive 3-loop fermion-loop corrections $\propto C_{A} N_{f} T_{F}^{2}$ and $C_{F} N_{f} T_{F}^{2}$ to the massive operator matrix elements $A_{Q g}$ , $A_{Qq}^{PS}$ , $A_{q q, Q}^{PS}$ , $A_{q q, Q}^{NS}$ and $A_{q q, Q}^{NS, TR} ha v e b ee n o b t ain e df or g e n er a l v a l u eso f$ N $. T h er e b y t h ecor r es p o n d in g co n t r ib u t i o n s t o t h e a sy m pt o t i c h e a v y f l a v or W i l so n coe f f i c i e n t so f t h es t r u c t u r e f u n c t i o n$ F_2(x,Q^2) $an d o f t r an s v er s i t y in t h er e g i o n$ Q^2 \geq 10 \cdot m^2$ are known. Our method is based on direct integration, avoiding the integration-by-parts technique, which is advantageous due to the compactness of the intermediate and final results. We also obtain the corresponding contributions to the 3-loop anomalous dimensions and confirm results in the literature.

Comments: Diploma Thesis, 143 pages, 29 figures, 1 style file

O(αs3​TF2​NF​) Contributions to the Heavy Flavor Wilson Coefficients of the Structure Function F2​(x,Q2) at Q2≫m2

Abstract

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$O (α_{s}^{3} T_{F}^{2} N_{F})$ Contributions to the Heavy Flavor Wilson Coefficients of the Structure Function $F_{2} (x, Q^{2})$ at $Q^{2} ≫ m^{2}$

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