Calculations of two-loop virtual corrections tob→sl+l−in the standard model

By H. Asatryan, H. Asatrian, C. Greub, M. Walker. 2001

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We present in detail the calculation of the virtual O(alpha_s) corrections to the inclusive semi-leptonic rare decay b --> s l+ l-. We also include those O(alpha_s) bremsstrahlung contributions which cancel the infrared and mass singularities showing up in the virtual corrections. In order to avoid large resonant contributions, we restrict the invariant mass squared s of the lepton pair to the range 0.05 < s/mb^2 < 0.25. The analytic results are represented as expansions in the small parameters s/mb^2, z = mc^2/mb^2 and s/(4 mc^2). The new contributions drastically reduce the renormalization scale dependence of the decay spectrum. For the corresponding branching ratio (restricted to the above s-range) the renormalization scale uncertainty gets reduced from +/-13% to +/-6.5%.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/c7429ca9c1e3c86030cc8925c486419d90fd7220

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In Nuclear and High Energy Physics

Citations in the corpus

B →Vℓ+ℓ− in the Standard Model from light-cone sum rules (2015, background): “The O(αs) hard vertex corrections [52] factorise in the heavy quark limit into a q2-dependent function times the form factor.”
Λ b →Λ ℓ + ℓ - form factors, differential branching fraction, and angular observables from lattice QCD with relativistic b quarks (2016, unknown): “in the functions hðmq; q2Þ, Fð7;9Þ 1;c ðq2Þ, and Fð7;9Þ 2;c ðq2Þ are defined in the pole scheme [87,88]; we use”