Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2006-04-04
Nucl.Phys.B750:83-107,2006
Physics
High Energy Physics
High Energy Physics - Phenomenology
latex, 26 pages, 2 tables, 17 figures
Scientific paper
10.1016/j.nuclphysb.2006.05.031
Forward-backward asymmetries, $A_{FB}^Q$, are important observables for the determination of the neutral-current couplings of heavy quarks in inclusive heavy quark production, $e^+ e^- \to \gamma^*, Z^* \to Q +X$. In view of the measurement perspectives on $A_{FB}^Q$ at a future linear collider, precise predictions of $A_{FB}^Q$ are required for massive quarks. We compute the contribution of the $Q \bar Q$ final state to $A_{FB}^Q$ to order $\as^2$ in the QCD coupling. We provide general formulae, and we show that this contribution to $A_{FB}^Q$ is infrared-finite. We evaluate these two-parton contributions for $b$ and $c$ quarks on and near the $Z$ resonance, and for $t$ quarks above threshold. Moreover, near the $t \bar t$ threshold we obtain, by expanding in the heavy-quark velocity $\beta$, an expression for $A_{FB}^{t \bar t}$ to order $\as^2$ and NNLL in $\beta$. This quantity is equal, to this order in $\beta$, to the complete forward-backward asymmetry $A_{FB}^t$.
Bernreuther Werner
Bonciani R.
Gehrmann Thomas
Leineweber Heinesch R. T.
Mastrolia Pierpaolo
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