O(alpha_s) corrections to the polar angle dependence of the longitudinal spin-spin correlation asymmetry in e^+ e^- -> q q-bar

Details O(alpha_s) corrections to the polar angle dependence of the longitudinal spin-spin correlation asymmetry in e^+ e^- -> q q-bar O(alpha_s) corrections to the polar angle dependence of the longitudinal spin-spin correlation asymmetry in e^+ e^- -> q q-bar

2009-05-27

arxiv.org/abs/0905.4465v1

Eur.Phys.J.C63:391-406,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

31 pages written in LaTeX, including 8 encapsulated postscript figures and 2 tables

Scientific paper

10.1140/epjc/s10052-009-1116-x

We provide analytical results for the O(alpha_s) corrections to the polar angle dependence of the longitudinal spin-spin correlation asymmetry in e^+ e^- -> q q-bar. For top quark pair production the O(alpha_s) corrections to the longitudinal spin-spin asymmetry are strongly polar angle dependent and can amount up to 4% in the q^2-range from above t t-bar threshold up to \sqrt{q^2}=1000 GeV. The O(alpha_s) radiative corrections to the correlation asymmetry are below 1% in the forward direction where the cross section is largest. In the e^+ e^- -> b b-bar case the O(alpha_s) corrections reduce the asymmetry value from its m_b=0 value of -100% to approximately -96% for q^2-values around the Z peak and are practically independent of the value of the polar angle theta. This reduction can be traced to finite anomalous contributions from residual mass effects which survive the m_b -> 0 limit. We discuss the role of the anomalous contributions and the pattern of how they contribute to spin-flip and non-flip terms.

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