On a possible measurement of alpha_s from B-Bbar correlations in Z^0 decay

Details On a possible measurement of alpha_s from B-Bbar correlations in Z^0 decay On a possible measurement of alpha_s from B-Bbar correlations in Z^0 decay

2003-04-29

arxiv.org/abs/hep-ph/0304272v1

Nucl.Phys.B667:394-410,2003

Physics

High Energy Physics

High Energy Physics - Phenomenology

18 pages, 3 figures

Scientific paper

10.1016/S0550-3213(03)00530-3

Motivated by recent preliminary results from the SLD Collaboration on the measurement of angle-dependent B-Bbar energy correlations in Z^0 -> b bbar events, we propose a class of observables that can be computed as a power expansion in the strong coupling constant alpha_s, of order alpha_s at the Born level and that can be used for a precision measurement of alpha_s(M_Z). We compute their next-to-leading order O(alpha_s^2) corrections in the strong coupling constant, including exactly quark-mass effects. We show that, in the theoretical evaluation of these quantities, large logarithms of the ratio of the mass of the final quark over the centre-of-mass energy cancel out. Thus, these variables have a well-behaved perturbative expansion in alpha_s(M_Z). We study the theoretical uncertainties due to the renormalization-scale dependence and the quark-mass scheme and we address the question of which mass scheme is more appropriate for these variables.

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