Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1997-04-15
Phys.Rev. D56 (1997) 5851-5856
Physics
High Energy Physics
High Energy Physics - Phenomenology
10 pages, latex, three ps figures included
Scientific paper
10.1103/PhysRevD.56.5851
It is demonstrated how perturbative O(alpha_s^2) relativistic corrections to the non-relativistic stable heavy quark-antiquark production cross section in e^+e^- annihilation based on a Coulombic QCD potential can be systematically calculated using the concept of effective field theories. The O(alpha_s^2) corrections from the relativistic energy-momentum relation, the relativistic phase space corrections and the O(alpha_s^2) corrections involving the group theoretical factors C_F^2 and C_F T are determined explicitly. For the case of $t\bar t$ production the sum of these corrections amounts to 3% - 7% over the whole threshold regime and is insensitive to variations in the top width. Perturbative O(alpha_s^2) corrections to the leptonic decay width of heavy quark-antiquark $^3S_1$ vector resonances are extracted.
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