Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2002-01-24
J.Phys. G28 (2002) L15-L22
Physics
High Energy Physics
High Energy Physics - Phenomenology
latex2e using amsmath, 8 pages, 4 embedded eps figures. Revised version contains an additional figure and accompanying revisio
Scientific paper
The constraint of a progressive decrease in residual renormalization scale dependence with increasing loop order is developed as a method for obtaining bounds on unknown higher-order perturbative corrections to renormalization-group invariant quantities. This technique is applied to the inclusive semileptonic process $b\to u \bar\nu_\ell\ell^-$ (explicitly known to two-loop order) to obtain bounds on the three- and four-loop perturbative coefficients that are not accessible via the renormalization group. Using the principle of minimal sensitivity, an estimate is obtained for the perturbative contributions to $\Gamma(b\to u \bar\nu_\ell\ell^-)$ that incorporates theoretical uncertainty from as-yet-undetermined higher order QCD corrections.
Ahmady Mohammad R.
Chishtie Farrukh A.
Elias Victor
Fariborz Amir H.
McKeon Dennis G. C.
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