2005/10/31 by Michael Trott, Alexander R. Williamson · 11 citations
Mathematics · Physics and Astronomy · #Algorithm #Basis (linear algebra) #Black Holes and Theoretical Physics #Combinatorics #Dimension (graph theory) #Factorization #Function (biology) #Geometry #Materials science #Mathematical physics #Mathematics #Matrix (chemical analysis) #Mixing (physics) #Operator (biology) #Order (exchange) #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #hep-ph
paper · pdf · doi:10.1103/physrevd.74.034011
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 74(3) (American Physical Society) · 23 pages, 3 figures V2- Minor Typos Fixed
arxiv created 2005/12/22 · openalex publication_date 2006/08/15 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We examine the anomalous dimension matrix appropriate for the phase space restricted B\ensuremath→Xu\ensuremathℓ\ensuremathν and B\ensuremath→Xs\ensuremathγ decay spectra to subleading nonperturbative order. The time ordered products of the HQET Lagrangian with the leading order shape function operator are calculated, as are the anomalous dimensions of subleading operators. We establish the renormalizability and closure of a subset of the nonlocal operator basis, a requirement for the establishment of factorization theorems at this order. Operator mixing is found between the operators which occur to subleading order, requiring the subleading operator basis be extended. We comment on the requirement for new shape functions to be introduced to characterize the matrix elements of these new operators, and the phenomenological consequences for extractions of |Vub|.