Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2001-07-19
Physics
High Energy Physics
High Energy Physics - Phenomenology
8 pages(LaTex), 3 figures. To appear in the proceedings of ``Theory Meeting on Physics at Linear Colliders'', Mar 15-17, 2001,
Scientific paper
Future e^+ e^- linear colliders will enable us to determine the top quark mass with high accuracy from the measurement of the 1S peak position of (remnant of) toponium. The estimated statistical error in this measurement is about 50 MeV with integrated luminosity of 30 ${\rm fb^{-1}}$. We calculate ${\cal O}(\alpha_s^5 m)$ corrections to the quarkonium 1S energy spectrum in the large-$\beta_0$ approximation to reduce theoretical uncertainties below the corresponding experimental error. We discuss the significance of the ${\cal O}(\alpha_s^5 m)$ corrections and estimate theoretical uncertainties of our prediction.
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