Towards the anomalous dimension to O({lambda}{sub QCD}/m{sub b}) for phase space restricted B{yields}X{sub u}l{nu} and B{yields}X{sub s}{gamma}
- Department of Physics, University of California at San Diego, La Jolla, California, 92093 (United States)
- Department of Physics, Carnegie Mellon University, Pittsburgh, Pennsylvania, 15213 (United States)
We examine the anomalous dimension matrix appropriate for the phase space restricted B{yields}X{sub u}l{nu} and B{yields}X{sub s}{gamma} 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 V{sub ub}.
- OSTI ID:
- 20869243
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 74, Issue 3; Other Information: DOI: 10.1103/PhysRevD.74.034011; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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