Constraints on higher-order perturbative corrections in b $\rightarrow$ u semileptonic decays from residual renormalization-scale dependence
Ahmady, M R Chishtie, F A Elias, V Fariborz, A H McKeon, D G C Sherry, T N Steele, T G
Ahmady, M R
Chishtie, F A
Elias, V
Fariborz, A H
McKeon, D G C
Sherry, T N
Steele, T G
Publication Date
2002-04-22
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Article
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Ahmady, M R; Chishtie, F A; Elias, V; Fariborz, A H; McKeon, D G C; Sherry, T N; Steele, T G (2002). Constraints on higher-order perturbative corrections in b $\rightarrow$ u semileptonic decays from residual renormalization-scale dependence. Journal of Physics G: Nuclear and Particle Physics 28 (6), L15-L22
Abstract
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 --> u (v) over bar (l)l(-) (explicitly known to two-loop order) in order to obtain bounds on the three- and four-loop perturbative contributions that are not accessible via the renormalization group. Combining this technique with the principle of minimal sensitivity, we obtain an estimate for the perturbative contributions to Gamma(b --> u (v) over bar (l)l(-)) that incorporates theoretical uncertainty from as-yet-undetermined higher-order QCD corrections.
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IOP Publishing
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Attribution-NonCommercial-NoDerivs 3.0 Ireland